The Tate-Shafarevich group for elliptic curves with complex multiplication

DOI10.1016/j.jalgebra.2009.04.039zbMath1239.11069OpenAlexW1973998371MaRDI QIDQ731238

John H. Coates, R. Sujatha, Zhibin Liang

Publication date: 2 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.04.039

zbMATH Keywords

elliptic curvesIwasawa theoryTate-Shafarevich groupBirch and Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items

The Tate-Shafarevich group for elliptic curves with complex multiplication. II, Algorithms for the arithmetic of elliptic curves using Iwasawa theory

Cites Work

• On the Birch-Swinnerton-Dyer quotients modulo squares
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• On the conjecture of Birch and Swinnerton-Dyer
• Arithmétique des courbes elliptiques et théorie d'Iwasawa
• Elliptic Curves with Complex Multiplication and Iswasawa Theory
• Arithmétique des courbes elliptiques à réduction supersingulière enp
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