The Selmer groups of elliptic curves \(E_n: y^2=x^3+nx\)

DOI10.36045/j.bbms.230504MaRDI QIDQ6179264

Guilin Li, Teng Cheng

Publication date: 16 January 2024

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-30/issue-3/The-Selmer-groups-of-elliptic-Curves-E_n-y2x3nx/10.36045/j.bbms.230504.full

zbMATH Keywords

Mordell-Weil rankelliptic curveJacobi symbolmatrixSelmer group2-descent method

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Cites Work

• Maximal ranks and integer points on a family of elliptic curves. II.
• A note on the Selmer group of the elliptic curve \(y^ 2=x^ 3+Dx\).
• On the elliptic curve \(y^2= x^3-2rDx\) and factoring integers
• The parity of the rank of the Mordell-Weil group
• On the φ-Selmer groups of the elliptic curvesy²=x³−Dx
• On the group structure of elliptic curves y^2=x^3-2px
• Number Theory
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