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

DOI10.1112/S0025579312001143zbMath1304.11049OpenAlexW1985010967MaRDI QIDQ5326086

Maosheng Xiong

Publication date: 31 July 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579312001143

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Elliptic curves over global fields (11G05) Estimates on character sums (11L40)

Related Items (2)

THE DISTRIBUTION OF 2‐SELMER RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES WITH PARTIAL TWO‐TORSION ⋮ Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families

Cites Work

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• Distribution of Selmer groups of quadratic twists of a family of elliptic curves
• The size of Selmer groups for the congruent number problem
• The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.
• Note on the rank of quadratic twists of Mordell equations
• ON SELMER GROUPS AND TATE–SHAFAREVICH GROUPS FOR ELLIPTIC CURVESy²=x³−n³
• On the Quadratic Twists of a Family of Elliptic Curves
• The effect of twisting on the 2-Selmer group
• On elliptic curves with large Tate-Shafarevich groups

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