$2$-Selmer near-companion curves

DOI10.1090/tran/7563zbMath1470.11156arXiv1610.01195OpenAlexW2963128103MaRDI QIDQ5222742

Myungjun Yu

Publication date: 3 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01195

zbMATH Keywords

elliptic curvesquadratic character2-Selmer ranks

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items

Large Shafarevich-Tate groups over quadratic number fields

Cites Work

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• Disparity in Selmer ranks of quadratic twists of elliptic curves
• Selmer ranks of twists of hyperelliptic curves and superelliptic curves
• Ranks of twists of elliptic curves and Hilbert's tenth problem
• On \(2\)-Selmer ranks of quadratic twists of elliptic curves
• Rational points of Abelian varieties with values in towers of number fields
• Random maximal isotropic subspaces and Selmer groups
• Kolyvagin systems
• Selmer companion curves