Elliptic curves of rank zero satisfying the \(p\)-part of the Birch and Swinnerton-Dyer conjecture

DOI10.1007/s00229-013-0606-1zbMath1302.11038OpenAlexW1990915560WikidataQ123123914 ScholiaQ123123914MaRDI QIDQ382236

Dongho Byeon, Nayoung Kim

Publication date: 18 November 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-013-0606-1

zbMATH Keywords

Tate-Shafarevich groupBirch and Swinnerton-Dyer conjectureoptimal elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

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• Additive representation in thin sequences, II: The binary Goldbach problem
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• On the density of discriminants of cubic fields. II
• Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.
• RATIONAL TORSION ON OPTIMAL CURVES

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