Three-Selmer groups for elliptic curves with 3-torsion

DOI10.1007/s11139-012-9455-xzbMath1281.11054OpenAlexW2029286373MaRDI QIDQ360455

Tony Feng, Carolyn Kim, Hui Xue, Eric Ramos, Catherine Trentacoste, Kevin L. James

Publication date: 27 August 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9455-x

zbMATH Keywords

elliptic curvesgraph theorySelmer groups3-torsion

Mathematics Subject Classification ID

Applications of graph theory (05C90) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Global ground fields in algebraic geometry (14G25)

Cites Work

• Unnamed Item
• 2-Selmer groups and the Birch-Swinnerton-Dyer conjecture for the congruent number curves
• The size of Selmer groups for the congruent number problem
• Selmer groups of quadratic twists of elliptic curves
• The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.
• On elliptic curves \(y^{2} = x^{3}-n^{2}x\) with rank zero
• A graphical approach to computing Selmer groups of congruent number curves
• Elementary 3-descent with a 3-isogeny
• Average size of 2-Selmer groups of elliptic curves, II
• A formula for the Selmer group of a rational three-isogeny

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