The distribution of ranks in families of quadratic twists of elliptic curves

Alice Silverberg

Type: Book-Chapter

Publication Date: 2007-02-08

Citations: 7

DOI: https://doi.org/10.1017/cbo9780511735158.008

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+	On products of quadratic twists and ranks of elliptic curves over large fields	2008	Bo‐Hae Im Álvaro Lozano‐Robledo
+	On a problem of Diophantus for rationals	2012	Andrej Dujella Clemens Fuchs
+	Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves	2021	Jie Shu Shuai Zhai
+ PDF Chat	How many rational points does a random curve have?	2013	Wei Ho
+ PDF Chat	Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves	2021	Jie Shu Shuai Zhai
+ PDF Chat	The rank of hyperelliptic Jacobians in families of quadratic twists	2006	Sebastian Petersen
+	Ranks of elliptic curves over cyclic cubic, quartic, and sextic extensions	2013	Neeraj Kashyap

Works Cited by This (13)

Action	Title	Year	Authors
+ PDF Chat	Twists of elliptic curves of rank at least four	2007	Karl Rubin Alice Silverberg
+	Non-vanishing of quadratic twists of modular L-functions	1998	Ken Ono Christopher H. Skinner
+ PDF Chat	The square-free sieve and the rank of elliptic curves	1991	Fernando Gouvêa Barry Mazur
+ PDF Chat	Rank Frequencies for Quadratic Twists of Elliptic Curves	2001	Karl Rubin Alice Silverberg
+ PDF Chat	Ranks of elliptic curves	2002	Karl Rubin Alice Silverberg
+	Mock heegner points and congruent numbers	1990	Paul Monsky
+	Rang de certaines familles de courbes elliptiques d'invariant donné	1998	Jean-François Mestre
+ PDF Chat	The size of Selmer groups for the congruent number problem	1993	D. R. Heath‐Brown
+ PDF Chat	Large torsion subgroups of split Jacobians of curves of genus two or three	2000	Everett W. Howe Franck Leprévost Bjorn Poonen
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer