Maarten Derickx

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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
+	Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville	2024	Barinder S. Banwait Maarten Derickx
+	Hyperelliptic and trigonal modular curves in characteristic <i>p</i>	2024	Maarten Derickx Filip Najman
+ PDF Chat	Large degree primitive points on curves	2024	Maarten Derickx
+	Modular curves $$X_0(N)$$ with infinitely many quartic points	2024	Maarten Derickx Petar Orlić
+ PDF Chat	Torsion subgroups of elliptic curves over quadratic fields and a conjecture of Granville	2024	Barinder S. Banwait Maarten Derickx
+ PDF Chat	Torsion points on elliptic curves over number fields of small degree	2023	Maarten Derickx S. Kamienny William Stein Michael Stoll
+	Towards strong uniformity for isogenies of prime degree	2023	Barinder S. Banwait Maarten Derickx
+	Hyperelliptic and trigonal modular curves in characteristic $p$	2023	Maarten Derickx Filip Najman
+	Modular curves $X_0(N)$ with infinitely many quartic points	2023	Maarten Derickx Petar Orlić
+ PDF Chat	Explicit isogenies of prime degree over number fields	2022	Barinder S. Banwait Maarten Derickx
+	Explicit isogenies of prime degree over number fields	2022	Barinder S. Banwait Maarten Derickx
+ PDF Chat	Sporadic cubic torsion	2021	Maarten Derickx Anastassia Etropolski Mark van Hoeij Jackson S. Morrow David Zureick-Brown
+ PDF Chat	Elliptic curves with a point of order $13$ defined over cyclic cubic fields	2021	Peter Bruin Maarten Derickx Michael Stoll
+	Elliptic curves with a point of order 13 defined over cyclic cubic fields.	2021	Peter Bruin Maarten Derickx Michael Stoll
+ PDF Chat	Computing Classical Modular Forms	2021	Alex J. Best Jonathan Bober Andrew R. Booker Edgar Costa J. E. Cremona Maarten Derickx Min Lee David Lowry-Duda David Roe Andrew V. Sutherland
+	Elliptic curves with a point of order 13 defined over cyclic cubic fields	2021	Peter C. de Bruin Maarten Derickx Michael Stoll
+ PDF Chat	Elliptic curves over totally real cubic fields are modular	2020	Maarten Derickx Filip Najman Samir Siksek
+	Sporadic Cubic Torsion	2020	Maarten Derickx Anastassia Etropolski Mark van Hoeij Jackson S. Morrow David Zureick-Brown
+ PDF Chat	Groups of generalized G‐type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q	2019	Harris B. Daniels Maarten Derickx Jeffrey Hatley
+ PDF Chat	Torsion of elliptic curves over cyclic cubic fields	2018	Maarten Derickx Filip Najman
+ PDF Chat	Rational families of 17-torsion points of elliptic curves over number fields	2018	Maarten Derickx Barry Mazur S. Kamienny
+	Torsion points on elliptic curves over quintic and sextic number fields	2017	Maarten Derickx
+	Torsion points on elliptic curves over number fields of small degree	2017	Maarten Derickx S. Kamienny William E. Stein Michael Stoll
+	Torsion subgroups of elliptic curves over quintic and sextic number fields	2016	Maarten Derickx Andrew V. Sutherland
+	Torsion points on elliptic curves over number fields of small degree	2016	Maarten Derickx
+	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
+ PDF Chat	Gonality of the modular curve X1(N)	2014	Maarten Derickx Mark van Hoeij
+	COMPUTING GALOIS REPRESENTATIONS AND EQUATIONS FOR MODULAR CURVES XH(ℓ)	2013	Maarten Derickx Mark van Hoeij Jinxiang Zeng
+	Computing Galois representations and equations for modular curves $X_H(\ell)$	2013	Maarten Derickx Mark van Hoeij Jinxiang Zeng

Common Coauthors

Coauthor	Papers Together
Mark van Hoeij	6
Filip Najman	5
Barinder S. Banwait	5
Michael Stoll	5
S. Kamienny	3
Andrew V. Sutherland	2
Anastassia Etropolski	2
Petar Orlić	2
Jackson S. Morrow	2
Jinxiang Zeng	2
Peter Bruin	2
David Zureick-Brown	2
Barry Mazur	1
Andrew R. Booker	1
William E. Stein	1
William Stein	1
Edgar Costa	1
Samir Siksek	1
Peter C. de Bruin	1
Harris B. Daniels	1
David Lowry-Duda	1
Alex J. Best	1
Jeffrey Hatley	1
J. E. Cremona	1
Jonathan Bober	1
David Roe	1
John Voight	1
Min Lee	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	12
+	Torsion points on elliptic curves andq-coefficients of modular forms	1992	S. Kamienny	11
+ PDF Chat	Families of elliptic curves over cubic number fields with prescribed torsion subgroups	2010	Daeyeol Jeon Chang Heon Kim Yoonjin Lee	10
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	9
+ PDF Chat	Torsion points on elliptic curves defined over quadratic fields	1988	M. A. Kenku Fumiyuki Momose	9
+	Bornes pour la torsion des courbes elliptiques sur les corps de nombres	1996	Lo x EF c Merel	8
+ PDF Chat	On the torsion of elliptic curves over cubic number fields	2004	Daeyeol Jeon Chang Heon Kim Andreas Schweizer	7
+ PDF Chat	Constructing elliptic curves over finite fields with prescribed torsion	2011	Andrew V. Sutherland	7
+	None	1996	Dan Abramovich	7
+ PDF Chat	Torsion of rational elliptic curves over cubic fields and sporadic points on $X_1(n)$	2016	Filip Najman	6
+	ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS	2006	Daeyeol Jeon Chang Heon Kim Euisung Park	5
+	J1(p) Has Connected Fibers	2003	Brian Conrad Bas Edixhoven William Stein	5
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	5
+	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	5
+	Curves with infinitely many points of fixed degree	1994	Gerhard Frey	5
+ PDF Chat	No $17$-torsion on elliptic curves over cubic number fields	2003	Pierre Parent	5
+	Torsion points on elliptic curves over all quadratic fields	1986	S. Kamienny	5
+	Galois properties of torsion points on abelian varieties	1980	Nicholas M. Katz	4
+	Points of order 13 on elliptic curves	1973	Barry Mazur John Tate	4
+	Families of elliptic curves over quartic number fields with prescribed torsion subgroups	2011	Daeyeol Jeon Chang Heon Kim Yoonjin Lee	4
+ PDF Chat	$J_1(p)$ has connected fibers	2003	Brian Conrad Bas Edixhoven William Stein	4
+ PDF Chat	$p$-adic Hodge theory and values of zeta functions of modular forms	2018	Kazuya Katô	4
+	None	1992	S. Kamienny	4
+	PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES	1972	Ju I Manin	4
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	4
+ PDF Chat	Torsion of elliptic curves over cyclic cubic fields	2018	Maarten Derickx Filip Najman	4
+	Torsion subgroups of elliptic curves over quintic and sextic number fields	2016	Maarten Derickx Andrew V. Sutherland	4
+	Gonality of the modular curve $X_0(N)$	2022	Filip Najman Petar Orlić	3
+ PDF Chat	Geometry of Algebraic Curves	1985	Enrico Arbarello Maurizio Cornalba P. A. Griffiths Joseph Harris	3
+	On the field of definition of $$p$$ -torsion points on elliptic curves over the rationals	2013	Álvaro Lozano‐Robledo	3
+ PDF Chat	Trigonal modular curves	1999	Yuji Hasegawa Mahoro Shimura	3
+	The Arithmetic of Elliptic Curves	2009	Joseph H. Silverman	3
+	Les Schémas de Modules de Courbes Elliptiques	1973	Pierre Deligne Michael Rapoport	3
+ PDF Chat	The Mordell–Weil sieve: proving non-existence of rational points on curves	2010	Nils Bruin Michael Stoll	3
+	Arithmetic on Modular Curves	1982	Glenn Stevens	3
+	Computing Riemann–Roch Spaces in Algebraic Function Fields and Related Topics	2002	Florian Heß	3
+	A linear lower bound on the gonality of modular curves	1996	Dan Abramovich	3
+ PDF Chat	Rational families of 17-torsion points of elliptic curves over number fields	2018	Maarten Derickx Barry Mazur S. Kamienny	3
+	TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE)	2012	Pete L. Clark Brian Cook James Stankewicz Jim H Stankewicz	2
+ PDF Chat	Structure of the cuspidal rational torsion subgroup of <i>J</i> <sub>1</sub> (<i>p</i> <sup> <i>n</i> </sup> )	2010	Yifan Yang Jeng-Daw Yu	2
+	Elliptic curves over ℚ $\mathbb {Q}$ and 2-adic images of Galois	2015	Jeremy Rouse David Zureick-Brown	2
+ PDF Chat	Universal Bounds on the Torsion of Elliptic Curves	1976	Daniel S. Kubert	2
+	The Kernel of the Eisenstein Ideal	2002	János Csirik	2
+	Explicit computations with modular Galois representations	2005	Johannes Gerardus Bosman	2
+ PDF Chat	Hyperelliptic modular curves	1974	A. P. Ogg	2
+ PDF Chat	Explicit Determination of Nontrivial Torsion Structures of Elliptic Curves Over Quadratic Number Fields	1986	M Reichert	2
+	Cuspidal class number of the tower of modular curves X 1(Np n )	2010	Hae-Sang Sun	2
+	Determinantal Formula for the Cuspidal Class Number of the Modular CurveX1(m)	1998	Fumio Hazama	2
+ PDF Chat	Implementing 2-descent for Jacobians of hyperelliptic curves	2001	Michael Stoll	2
+	Low Degree Places on the Modular Curve X1(N)	2012	Mark van Hoeij	2