Descending Rational Points on Elliptic Curves to Smaller Fields

DOI10.4153/CJM-2001-019-5zbMath0972.11056OpenAlexW2040582892MaRDI QIDQ2715678

Amir Akbary, V. Kumar Murty

Publication date: 20 May 2001

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2001-019-5

zbMATH Keywords

rational points\(L\)-functionsintegral representations

Mathematics Subject Classification ID

Galois theory (11R32) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Cites Work

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• FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES

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