Filip Najman

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All published works

Action	Title	Year	Authors
+ PDF Chat	Classification of torsion of elliptic curves over quartic fields	2024	Maarten Derickx Filip Najman
+	Quadratic points on X0(163)	2024	Philippe Michaud‐Jacobs Filip Najman
+	Hyperelliptic and trigonal modular curves in characteristic <i>p</i>	2024	Maarten Derickx Filip Najman
+	On r-isogenies over $$\mathbb {Q}(\zeta _r)$$ of elliptic curves with rational j-invariants	2024	Filip Najman
+ PDF Chat	Towards a classification of isolated 𝑗-invariants	2024	Abbey Bourdon Sachi Hashimoto Timo Keller Zev Klagsbrun David Lowry-Duda Travis Morrison Filip Najman Himanshu Shukla
+	Computing quadratic points on modular curves 𝑋₀(𝑁)	2023	Nikola Adžaga Timo Keller Philippe Michaud‐Jacobs Filip Najman Ekin Özman Borna Vukorepa
+ PDF Chat	Cyclic isogenies of elliptic curves over fixed quadratic fields	2023	Barinder S. Banwait Filip Najman Oana Padurariu
+	Two results on 𝑥^{𝑟}+𝑦^{𝑟}=𝑑𝑧^{𝑝}	2023	Nuno Freitas Filip Najman
+	Gonality of the modular curve 𝑋₀(𝑁)	2023	Filip Najman Petar Orlić
+	Computing quadratic points on modular curves $X_0(N)$	2023	Nikola Adžaga Timo Keller Philippe Michaud‐Jacobs Filip Najman Ekin Özman Borna Vukorepa
+	Hyperelliptic and trigonal modular curves in characteristic $p$	2023	Maarten Derickx Filip Najman
+	On $r$-isogenies over $\mathbb{Q}(ζ_r)$ of elliptic curves with rational $j$-invariants	2023	Filip Najman
+	Quadratic points on $X_0(163)$	2023	Philippe Michaud‐Jacobs Filip Najman
+	Towards a Classification of Isolated $j$-invariants	2023	Abbey Bourdon Sachi Hashimoto Timo Keller Zev Klagsbrun David Lowry-Duda Travis Morrison Filip Najman Himanshu Shukla
+	Quadratic points on bielliptic modular curves	2022	Filip Najman Borna Vukorepa
+ PDF Chat	Cyclic isogenies of elliptic curves over a fixed quadratic field	2022	Barinder S. Banwait Filip Najman Oana Padurariu
+ PDF Chat	Splitting of primes in number fields generated by points on some modular curves	2022	Filip Najman Antonela Trbović
+ PDF Chat	Counting elliptic curves with prescribed level structures over number fields	2022	Peter Bruin Filip Najman
+	On Darmon's program for the generalized Fermat equation, I	2022	Nicolas Billerey Imin Chen Luis Dieulefait Nuno Freitas Filip Najman
+	Two results on $x^r + y^r = dz^p$	2022	Nuno Freitas Filip Najman
+	Gonality of the modular curve $X_0(N)$	2022	Filip Najman Petar Orlić
+	Cyclic isogenies of elliptic curves over fixed quadratic fields	2022	Barinder S. Banwait Filip Najman Oana Padurariu
+ PDF Chat	Quadratic points on bielliptic modular curves	2021	Filip Najman Borna Vukorepa
+ PDF Chat	$${{\mathbb {Q}}}$$-curves over odd degree number fields	2021	J. E. Cremona Filip Najman
+	Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves	2021	Abbey Bourdon Filip Najman
+ PDF Chat	Irreducibility of mod p Galois representations of elliptic curves with multiplicative reduction over number fields	2021	Filip Najman George C. Ţurcaş
+	Sporadic points of odd degree on $X_1(N)$ coming from $\mathbb{Q}$-curves	2021	Abbey Bourdon Filip Najman
+	Quadratic points on bielliptic modular curves	2021	Filip Najman Borna Vukorepa
+ PDF Chat	Elliptic curves over totally real cubic fields are modular	2020	Maarten Derickx Filip Najman Samir Siksek
+ PDF Chat	An Algorithm for Determining Torsion Growth of Elliptic Curves	2020	Enrique González–Jiménez Filip Najman
+	$\mathbb Q$-curves over odd degree number fields	2020	J. E. Cremona Filip Najman
+ PDF Chat	Torsion of $\mathbb{Q}$-curves over quadratic fields	2020	Samuel Le Fourn Filip Najman
+	Q-curves over odd degree number fields	2020	Filip Najman
+	Splitting of primes in number fields generated by points on some modular curves	2020	Filip Najman Antonela Trbović
+	$\mathbb Q$-curves over odd degree number fields	2020	J. E. Cremona Filip Najman
+	Growth of torsion groups of elliptic curves upon base change	2019	Enrique González–Jiménez Filip Najman
+ PDF Chat	Torsion of elliptic curves over cyclic cubic fields	2018	Maarten Derickx Filip Najman
+	Torsion of $\Q$-curves over quadratic fields	2018	Samuel Le Fourn Filip Najman
+	Torsion groups of elliptic curves over the $\mathbb Z_p$-extensions of $\mathbb Q$	2018	Michael Chou Harris B. Daniels Ivan Krijan Filip Najman
+ PDF Chat	Isogenies of non-CM elliptic curves with rational <i>j</i>-invariants over number fields	2017	Filip Najman
+ PDF Chat	Fields of definition of elliptic curves with prescribed torsion	2017	Peter Bruin Filip Najman
+ PDF Chat	Torsion of rational elliptic curves over cubic fields	2016	Enrique González–Jiménez Filip Najman José M. Tornero
+	Tamagawa Numbers of elliptic curves with 𝐶₁₃ torsion over quadratic fields	2016	Filip Najman
+ PDF Chat	Torsion subgroups of rational elliptic curves over the compositum of all cubic fields	2016	Harris B. Daniels Álvaro Lozano‐Robledo Filip Najman Andrew V. Sutherland
+	Fields of definition of elliptic curves with prescribed torsion	2016	Peter Bruin Filip Najman
+	Tamagawa Numbers of elliptic curves with $C_{13}$ torsion over quadratic fields	2016	Filip Najman
+ PDF Chat	A criterion to rule out torsion groups for elliptic curves over number fields	2016	Peter Bruin Filip Najman
+ PDF Chat	Torsion of rational elliptic curves over cubic fields and sporadic points on $X_1(n)$	2016	Filip Najman
+	Tamagawa Numbers of elliptic curves with $C_{13}$ torsion over quadratic fields	2016	Filip Najman
+	Fields of definition of elliptic curves with prescribed torsion	2016	Peter C. de Bruin Filip Najman
+ PDF Chat	On the number of n-isogenies of elliptic curves over number fields	2015	Miljen Mikić Filip Najman
+	Isogenies of non-CM elliptic curves with rational $j$-invariants over number fields	2015	Filip Najman
+	A criterion to rule out torsion groups for elliptic curves over number fields	2015	Peter Bruin Filip Najman
+ PDF Chat	Hyperelliptic modular curves and isogenies of elliptic curves over quadratic fields	2015	Peter Bruin Filip Najman
+	Isogenies of non-CM elliptic curves with rational $j$-invariants over number fields	2015	Filip Najman
+	A criterion to rule out torsion groups for elliptic curves over number fields	2015	Peter C. de Bruin Filip Najman
+ PDF Chat	ON THE NUMBER OF ELLIPTIC CURVES WITH PRESCRIBED ISOGENY OR TORSION GROUP OVER NUMBER FIELDS OF PRIME DEGREE	2014	Filip Najman
+ PDF Chat	Erratum to: The number of twists with large torsion of an elliptic curve	2014	Filip Najman
+ PDF Chat	Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields	2014	Filip Najman
+ PDF Chat	The growth of the rank of Abelian varieties upon extensions	2014	Peter Bruin Filip Najman
+ PDF Chat	The number of twists with large torsion of an elliptic curve	2014	Filip Najman
+	Products of three factorials	2014	Andrej Dujella Filip Najman N. Saradha Tablok N. Shorey
+	The number of twists with large torsion of an elliptic curve	2014	Filip Najman
+	The number of twists with large torsion of an elliptic curve	2013	Filip Najman
+	Errata to “On the largest prime factor of $x^2-1$”	2013	Florian Luca Filip Najman
+ PDF Chat	Ranks of Elliptic Curves with Prescribed Torsion over Number Fields	2013	Johan Bosman Peter Bruin Andrej Dujella Filip Najman
+	Torsion of rational elliptic curves over cubic fields and sporadic points on $X_1(n)$	2012	Filip Najman
+ PDF Chat	Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization	2012	Andrej Dujella Filip Najman
+	The growth of the rank of Abelian varieties upon extensions	2012	Peter Bruin Filip Najman
+ PDF Chat	EXCEPTIONAL ELLIPTIC CURVES OVER QUARTIC FIELDS	2012	Filip Najman
+ PDF Chat	Torsion groups of elliptic curves over quadratic fields	2012	S. Kamienny Filip Najman
+	The growth of the rank of Abelian varieties upon extensions	2012	Peter C. de Bruin Filip Najman
+	Torsion of rational elliptic curves over cubic fields and sporadic points on $X_1(n)$	2012	Filip Najman
+	Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization	2012	Andrej Dujella Filip Najman
+	Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization	2011	Andrej Dujella Filip Najman
+	On the number of elliptic curves with prescribed isogeny or torsion group over number fields of prime degree	2011	Filip Najman
+	On the number of elliptic curves with prescribed torsion over number fields of prime degree	2011	Filip Najman
+ PDF Chat	Large strings of consecutive smooth integers	2011	Filip Najman
+	Torsion of elliptic curves over cubic fields	2011	Filip Najman
+	Large strings of consecutive smooth integers	2011	Filip Najman
+	Torsion of elliptic curves over cubic fields	2011	Filip Najman
+	Torsion groups of elliptic curves over quadratic fields	2011	S. Kamienny Filip Najman
+	TORSION OF ELLIPTIC CURVES OVER QUADRATIC CYCLOTOMIC FIELDS	2011	Filip Najman
+	Large strings of consecutive smooth integers	2011	Filip Najman
+	Torsion of elliptic curves over cubic fields	2011	Filip Najman
+	On the number of elliptic curves with prescribed isogeny or torsion group over number fields of prime degree	2011	Filip Najman
+	Torsion groups of elliptic curves over quadratic fields	2011	S. Kamienny Filip Najman
+	Smooth values of some quadratic polynomials	2010	Filip Najman
+ PDF Chat	Compact representation of quadratic integers and integer points on some elliptic curves	2010	Filip Najman
+	On the largest prime factor of $x^{2}-1$	2010	Florian Luca Filip Najman
+	Smooth values of some quadratic polynomials	2010	Filip Najman
+	On the largest prime factor of $x^2-1$	2010	Florian Luca Filip Najman
+	Complete classification of torsion of elliptic curves over quadratic cyclotomic fields	2010	Filip Najman
+	Torsion of elliptic curves over quadratic cyclotomic fields	2010	Filip Najman
+	Complete classification of torsion of elliptic curves over quadratic cyclotomic fields	2010	Filip Najman
+	The Diophantine equation $x^4\pm y^4=iz^2$ in Gaussian integers	2010	Filip Najman
+ PDF Chat	The Diophantine Equation <em>x<sup>4</sup></em> ± <em>y<sup>4</sup></em> = <em>iz<sup>2</sup></em> in Gaussian Integers	2010	Filip Najman
+	Torsion of elliptic curves over quadratic cyclotomic fields	2010	Filip Najman
+	Complete classification of torsion of elliptic curves over quadratic cyclotomic fields	2010	Filip Najman
+	On the largest prime factor of $x^2-1$	2010	Florian Luca Filip Najman
+	Smooth values of some quadratic polynomials	2010	Filip Najman
+	Integer points on two families of elliptic curves	2009	Filip Najman

Common Coauthors

Coauthor	Papers Together
Peter Bruin	9
Maarten Derickx	5
Borna Vukorepa	5
Andrej Dujella	5
Philippe Michaud‐Jacobs	4
Florian Luca	4
Abbey Bourdon	4
Timo Keller	4
Enrique González–Jiménez	3
Barinder S. Banwait	3
Nuno Freitas	3
S. Kamienny	3
Peter C. de Bruin	3
J. E. Cremona	3
Oana Padurariu	3
Harris B. Daniels	2
Samuel Le Fourn	2
Himanshu Shukla	2
Travis Morrison	2
Nikola Adžaga	2
Antonela Trbović	2
Zev Klagsbrun	2
Sachi Hashimoto	2
Petar Orlić	2
Ekin Özman	2
Tablok N. Shorey	1
Luis Dieulefait	1
Nicolas Billerey	1
David Lowry-Duda	1
Michael Chou	1
Andrew V. Sutherland	1
David Lowry-Duda	1
Ivan Krijan	1
José M. Tornero	1
George C. Ţurcaş	1
Imin Chen	1
Samir Siksek	1
N. Saradha	1
Miljen Mikić	1
Johan Bosman	1
Álvaro Lozano‐Robledo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	30
+	Torsion points on elliptic curves andq-coefficients of modular forms	1992	S. Kamienny	29
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	25
+ PDF Chat	Torsion points on elliptic curves defined over quadratic fields	1988	M. A. Kenku Fumiyuki Momose	21
+	Bornes pour la torsion des courbes elliptiques sur les corps de nombres	1996	Lo x EF c Merel	19
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	15
+	The modular curves <i>X</i><sub>0</sub>(65) and <i>X</i><sub>0</sub>(91) and rational isogeny	1980	M. A. Kenku	14
+ PDF Chat	On the torsion of elliptic curves over cubic number fields	2004	Daeyeol Jeon Chang Heon Kim Andreas Schweizer	13
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	13
+	ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS	2006	Daeyeol Jeon Chang Heon Kim Euisung Park	13
+ PDF Chat	Ranks of Elliptic Curves with Prescribed Torsion over Number Fields	2013	Johan Bosman Peter Bruin Andrej Dujella Filip Najman	13
+ PDF Chat	Torsion of rational elliptic curves over cubic fields and sporadic points on $X_1(n)$	2016	Filip Najman	12
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	10
+ PDF Chat	Universal Bounds on the Torsion of Elliptic Curves	1976	Daniel S. Kubert	10
+	HANDBOOK OF MAGMA FUNCTIONS	2011	John Cannon Wieb Bosma Claus Fieker Allan Steel	9
+	Galois properties of torsion points on abelian varieties	1980	Nicholas M. Katz	9
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	8
+ PDF Chat	Ranks of twists of elliptic curves and Hilbert’s tenth problem	2010	Barry Mazur Karl Rubin	8
+ PDF Chat	Structure de torsion des courbes elliptiques sur les corps quadratiques	2010	Fanomezantsoa Patrick Rabarison	8
+ PDF Chat	Compact representation of quadratic integers and integer points on some elliptic curves	2010	Filip Najman	8
+ PDF Chat	Hyperelliptic modular curves and isogenies of elliptic curves over quadratic fields	2015	Peter Bruin Filip Najman	8
+	The modular curve <i>X</i><sub>0</sub>(39) and rational isogeny	1979	M. A. Kenku	8
+	Rational points on elliptic curves over Q in elementary abelian 2-extensions of Q.	1985	Michael Laskia Martin Lorenz	8
+	Gonality of the modular curve<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2014	Maarten Derickx Mark van Hoeij	7
+ PDF Chat	Families of elliptic curves over cubic number fields with prescribed torsion subgroups	2010	Daeyeol Jeon Chang Heon Kim Yoonjin Lee	7
+ PDF Chat	Torsion groups of elliptic curves over quadratic fields	2012	S. Kamienny Filip Najman	7
+ PDF Chat	Sporadic cubic torsion	2021	Maarten Derickx Anastassia Etropolski Mark van Hoeij Jackson S. Morrow David Zureick-Brown	7
+	On the field of definition of $$p$$ -torsion points on elliptic curves over the rationals	2013	Álvaro Lozano‐Robledo	7
+ PDF Chat	Serre's uniformity problem in the split Cartan case	2011	Yuri Bilu Pierre Parent	7
+ PDF Chat	Explicit Chabauty–Kim for the split Cartan modular curve of level 13	2019	Jennifer S. Balakrishnan Netan Dogra J. Steffen Müller Jan Tuitman Jan Vonk	6
+ PDF Chat	COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES	2016	Andrew V. Sutherland	6
+ PDF Chat	Torsion of rational elliptic curves over quadratic fields	2013	Enrique González–Jiménez José M. Tornero	6
+	Bielliptic Modular Curves	1999	Francesc Bars	6
+	On the possible images of the mod ell representations associated to elliptic curves over Q	2015	David Zywina	6
+ PDF Chat	Torsion points on elliptic curves over number fields of small degree	2023	Maarten Derickx S. Kamienny William Stein Michael Stoll	6
+ PDF Chat	Hyperelliptic modular curves	1974	A. P. Ogg	6
+	Complete classification of torsion of elliptic curves over quadratic cyclotomic fields	2010	Filip Najman	6
+	Quadratic points on modular curves with infinite Mordell–Weil group	2020	Josha Box	6
+	The Arithmetic of Elliptic Curves	2009	Joseph H. Silverman	6
+	Defining equations of modular curves	2005	Yifan Yang	5
+	Quadratic points on modular curves	2018	Ekin Özman Samir Siksek	5
+ PDF Chat	Fields of definition of elliptic curves with prescribed torsion	2017	Peter Bruin Filip Najman	5
+	Regulator approximation and fundamental unit computation for real-quadratic orders	2000	Markus Maurer	5
+ PDF Chat	Isogenies of non-CM elliptic curves with rational <i>j</i>-invariants over number fields	2017	Filip Najman	5
+	None	1996	Dan Abramovich	5
+	Torsion of elliptic curves over cubic fields	2011	Filip Najman	5
+	Equations for the modular curve 𝑋₁(𝑁) and models of elliptic curves with torsion points	2010	Houria Baaziz	5
+	On the Numerical Factors of the Arithmetic Forms α n ± β n	1913	R. D. Carmichael	5
+	Growth of torsion groups of elliptic curves upon base change	2019	Enrique González–Jiménez Filip Najman	5
+	Torsion subgroups of elliptic curves in elementary abelian 2-extensions of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="double-struck">Q</mml:mi></mml:math>	2005	Yasutsugu Fujita	5