2-Selmer groups of quadratic twists of elliptic curves

DOI10.1090/S0002-9939-10-10273-1zbMath1201.11055MaRDI QIDQ3566656

Peter Diao, George Boxer

Publication date: 8 June 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesBirch and Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

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

Related Items (3)

Bounded gaps between primes in Chebotarev sets ⋮ Bounded gaps between products of special primes ⋮ Congruent numbers and congruences between half-integral weight modular forms

Cites Work

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• Ranks of twists of elliptic curves and Hilbert's tenth problem
• Non-vanishing of quadratic twists of modular \(L\)-functions
• Galois properties of points of finite order of elliptic curves
• Nonvanishing of quadratic twists of modular L-functions and applications to elliptic curves
• Arithmetic of Elliptic Curves Upon Quadratic Extension
• On construction of holomorphic cusp forms of half integral weight

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