The period-index obstruction for elliptic curves

DOI10.1006/jnth.2001.2770zbMath1033.11029OpenAlexW2105838031MaRDI QIDQ701118

Catherine O'Neil

Publication date: 16 October 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9685e97ec494b920b82cd37e99b20d697160f0e3

zbMATH Keywords

elliptic curvesTate-Shafarevich grouptorsorsperiod-index obstructionWeil-Chatelet group

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

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Cites Work

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• There are genus one curves over \mathbb{Q} of every odd index
• The Period-Index Problem for Elliptic Curves
• Jacobians of genus one curves