On the Tate-Shafarevich group of certain elliptic curves

DOI10.4310/MRL.1998.v5.n5.a8zbMath0948.14040OpenAlexW2326710204MaRDI QIDQ1295915

Farshid Hajir, Fernando Rodriguez Villegas

Publication date: 29 May 2000

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

Full work available at URL: https://doi.org/10.4310/mrl.1998.v5.n5.a8

zbMATH Keywords

Tate-Shafarevich groupclass groupimaginary quadratic fieldHilbert class fieldBirch-Swinnerton-Dyer conjectureL-series

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Global ground fields in algebraic geometry (14G25) Elliptic and modular units (11G16)

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