A criterion for elliptic curves with lowest 2-power in L(1)

DOI10.1017/S0305004196001247zbMath1042.11038MaRDI QIDQ2758153

Chunlai Zhao

Publication date: 27 February 2002

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

zbMATH Keywords

elliptic curveTate-Shafarevich groupBirch and Swinnerton-Dyer conjecture2-descent

Mathematics Subject Classification ID

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

Related Items (8)

On several families of elliptic curves with arbitrary large Selmer groups ⋮ On thep-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of ⋮ A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial ⋮ On the weak forms of the 2-part of Birch and Swinnerton-Dyer conjecture ⋮ 2-Selmer groups and the Birch-Swinnerton-Dyer conjecture for the congruent number curves ⋮ On the 2-adic valuations of central \(L\)-values of elliptic curves ⋮ Tamagawa number divisibility of central \(L\)-values of twists of the Fermat elliptic curve ⋮ A criterion for elliptic curves with second lowest 2-power in \(L(1)\). II

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