ON SELMER GROUPS OF QUADRATIC TWISTS OF ELLIPTIC CURVES WITH A TWO‐TORSION OVER-Reference-Cited by-同舟云学术

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ON SELMER GROUPS OF QUADRATIC TWISTS OF ELLIPTIC CURVES WITH A TWO‐TORSION OVER

Published:2013-01-15 Issue:2 Volume:59 Page:303-319
ISSN:0025-5793
Container-title:Mathematika
language:en
Short-container-title:Mathematika

Author:

Xiong Maosheng¹

Affiliation:

1. Department of MathematicsHong Kong University of Science and TechnologyClear Water BayKowloonHong Kong

Funder

Research Grants Council, University Grants Committee

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/S0025579312001143

Reference13 articles.

1. ON SELMER GROUPS AND TATE–SHAFAREVICH GROUPS FOR ELLIPTIC CURVESy2=x3−n3

2. The effect of twisting on the 2-Selmer group

3. The size of Selmer groups for the congruent number problem, II

4. Note on the rank of quadratic twists of Mordell equations

5. Distribution of Selmer groups of quadratic twists of a family of elliptic curves

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Distribution of the 2-Selmer rank under twisting;Publications mathématiques de Besançon. Algèbre et théorie des nombres;2022-08-18

2. Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families;Algebra & Number Theory;2021-05-20

3. THE DISTRIBUTION OF 2‐SELMER RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES WITH PARTIAL TWO‐TORSION;Mathematika;2015-05-04

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