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Selmer groups of quadratic twists of elliptic curves

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Publication:1298180
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DOI10.1007/s002080050283zbMath0934.11031OpenAlexW2089622504MaRDI QIDQ1298180

Ken Ono, Kevin L. James

Publication date: 3 April 2000

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050283

zbMATH Keywords

elliptic curvequadratic twistSelmer group


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)


Related Items

A graphical approach to computing Selmer groups of congruent number curves, Three-Selmer groups for elliptic curves with 3-torsion, Indivisibility of class numbers of imaginary quadratic fields, Elliptic curves of rank zero satisfying the \(p\)-part of the Birch and Swinnerton-Dyer conjecture, Elements of class groups and Shafarevich-Tate groups of elliptic curves, INDIVISIBILITY OF ORDERS OF SELMER GROUPS FOR MODULAR FORMS, Indivisibility of central values of $L$-functions for modular forms, On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1, The algebraic parts of the central values of quadratic twists of modular \(L\)-functions modulo \(\ell\), Mordell-Weil ranks of quadratic twists of pairs of elliptic curves.



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