Counting elliptic curves with local conditions and its applications

Peter J. Cho, Keunyoung Jeong

Type: Preprint

Publication Date: 2020-03-20

Citations: 2

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	On the distribution of analytic ranks of elliptic curves	2020	Peter J. Cho Keunyoung Jeong
+	Probabilistic behaviors of elliptic curves with torsion points	2020	Peter J. Cho Keunyoung Jeong
+	Analytic ranks of elliptic curves over number fields	2020	Peter J. Cho
+	Average analytic rank of elliptic curves with prescribed torsion	2020	Peter J. Cho Keunyoung Jeong
+	High-rank elliptic curves with given torsion group and some applications	2023	Andrej Dujella
+ PDF Chat	The average analytic rank of elliptic curves with prescribed torsion	2022	Peter J. Cho Keunyoung Jeong
+	On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility	2020	Roberto Dvornicich Laura Paladino
+	The rank of elliptic curves and its applications	2017	Bo‐Hae Im
+	Local torsion primes and the class numbers associated to an elliptic curve over $\mathbb Q$	2019	Toshiro Hiranouchi
+	A unified method of construction of elliptic curves with high Mordell-Weil rank	1996	日出山岸
+	Local Root Numbers of Elliptic Curves over Dyadic Fields	2015	Naoki Imai
+	Local root numbers of elliptic curves over dyadic fields	2015	Naoki Imai
+	Local torsion primes and the class numbers associated to an elliptic curve over $\mathbb{Q}$	2017	Toshiro Hiranouchi
+ PDF Chat	ON AN ESTIMATE OF THE RANK OF ELLIPTIC CURVES BY MULTIPLICATION-BY-m MAP	1995	Hisayoshi SATO
+	On local-global divisibility by $p^n$ in elliptic curves	2011	Laura Paladino Gabriele Ranieri Evelina Viada
+	Local torsion primes and the class numbers associated to an elliptic curve over $\mathbb{Q}$.	2017	Toshiro Hiranouchi
+ PDF Chat	On the vanishing of twisted L-functions of elliptic curves over rational function fields	2022	Antoine Comeau-Lapointe Chantal David Matilde Laĺın Wanlin Li
+ PDF Chat	On Elliptic Curves with Everywhere Good Reduction over Certain Number Fields	2012	Shun’ichi Yokoyama
+ PDF Chat	Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion	2019	Stephanie Chan Jeroen Hanselman Wanlin Li
+	ℚ(T)-rank of elliptic curves and certain limit coming from the local points	1997	Koh-ichi Nagao

Works That Cite This (2)

Action	Title	Year	Authors
+	The Failure of Galois Descent for p-Selmer Groups of Elliptic Curves	2021	Ross Paterson
+ PDF Chat	Local and global densities for Weierstrass models of elliptic curves	2023	J. E. Cremona Mohammad Sadek

Works Cited by This (13)

Action	Title	Year	Authors
+	The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1	2013	Manjul Bhargava Arul Shankar
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman
+	The average rank of elliptic curves I	1992	Armand Brumer
+ PDF Chat	The Average Analytic Rank of Elliptic Curves	2004	D. R. Heath‐Brown
+ PDF Chat	Average twin prime conjecture for elliptic curves	2011	Antal Balog Alina-Carmen Cojocaru Chantal David
+ PDF Chat	Some Heuristics about Elliptic Curves	2008	Mark E. Watkins
+	<i>n</i>-Level Densities of Artin<i>L</i>-Functions	2014	Peter J. Cho Henry H. Kim
+ PDF Chat	Primes of the form x2 + ny2: Fermat, class field theory, and complex multiplication	1990	David A. Cox
+ PDF Chat	One- and two-level densities for rational families of elliptic curves: evidence for the underlying group symmetries	2004	Steven J. Miller
+	Low-lying zeros of L-functions and random matrix theory	2001	Michael Rubinstein