ON SELMER GROUPS AND TATE–SHAFAREVICH GROUPS FOR ELLIPTIC CURVESy2=x3−n3
Author:
Affiliation:
1. Department of Mathematical ScienceTshinghua UniversityBeijing100084P.R. China
2. Department of MathematicsHong Kong University of Science and TechnologyClear Water BayKowloonP.R. China
Publisher
Wiley
Subject
General Mathematics
Link
https://onlinelibrary.wiley.com/doi/pdf/10.1112/S0025579312000046
Reference32 articles.
1. Average size of 2-Selmer groups of elliptic curves, II
2. Distribution of Selmer groups of quadratic twists of a family of elliptic curves
3. The effect of twisting on the 2-Selmer group
4. On the Arithmetic of the Curves y2=xℓ+A, II
5. On the arithmetic of the curves y2=xl+A and their Jacobians;Stoll;J. Reine Angew. Math.,1998
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2. Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families;Algebra & Number Theory;2021-05-20
3. Modeling the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of elliptic curves;Cambridge Journal of Mathematics;2015
4. ON POSITIVE PROPORTION OF RANK-ZERO TWISTS OF ELLIPTIC CURVES OVER;Journal of the Australian Mathematical Society;2014-11-07
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