Three-descent and the Birch and Swinnerton-Dyer conjecture

DOI10.1216/rmjm/1181069889zbMath1083.11040OpenAlexW2041431610WikidataQ123132922 ScholiaQ123132922MaRDI QIDQ1880963

Andrea Bandini

Publication date: 27 September 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069889

zbMATH Keywords

elliptic curvesTate-Shafarevich groupBirch and Swinnerton-Dyer conjecture3-descent

Mathematics Subject Classification ID

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

Related Items (5)

Second isogeny descents and the Birch and Swinnerton-Dyer conjectural formula ⋮ On 7-division fields of CM elliptic curves ⋮ Number fields generated by the 3-torsion points of an elliptic curve ⋮ Fields generated by torsion points of elliptic curves ⋮ 3-Selmer groups for curves y 2 = x 3 + a

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• Class groups and Selmer groups
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• Second descents for elliptic curves
• Notes on elliptic curves. II.
• The diophantine equation X3 + Y3 = DZ3 and the conjectures of Birch and Swinnerton-Dyer.

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