The analytic order of Ш for modular elliptic curves

DOI10.5802/jtnb.87zbMath0795.14016OpenAlexW2334500393MaRDI QIDQ1311055

John E. Cremona

Publication date: 26 January 1994

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1993__5_1_179_0

zbMATH Keywords

isogenyorder of the Tate-Shafarevich group

Mathematics Subject Classification ID

Elliptic curves (14H52) Holomorphic modular forms of integral weight (11F11) Isogeny (14K02)

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Uses Software

• ecdata

Cites Work

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• Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 -- August 3, 1972
• FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES
• The behavior of the Mordell-Weil group of elliptic curves
• Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.