Effective bounds on the size of the Tate-Shafarevich group

DOI10.4310/MRL.1996.V3.N3.A2zbMath0869.11053MaRDI QIDQ1815210

Dorian Goldfeld, Daniel B. Lieman

Publication date: 2 December 1996

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

Birch and Swinnerton-Dyer conjectureABC conjecture\(CM\)-elliptic curvesderivative of the \(L\)-series of a cusp formorder of the Tate-Shafarevich group of an elliptic curve

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Global ground fields in algebraic geometry (14G25)

Related Items (2)

ON SELMER GROUPS AND TATE–SHAFAREVICH GROUPS FOR ELLIPTIC CURVESy²=x³−n³ ⋮ Distribution of Selmer groups of quadratic twists of a family of elliptic curves

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