Rational torsion on optimal curves and rank-one quadratic twists

DOI10.1016/j.jnt.2010.10.005zbMath1222.11072OpenAlexW2054037211MaRDI QIDQ626844

Donggeon Yhee, Dongho Byeon

Publication date: 18 February 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.10.005

zbMATH Keywords

torsionelliptic curvesranktwists

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (3)

Optimal curves differing by a 5-isogeny ⋮ A divisibility related to the Birch and Swinnerton-Dyer conjecture ⋮ Quadratic twists of elliptic curves with 3-Selmer rank 1

Cites Work

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• Rank-one twists of a certain elliptic curve
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Canonical periods and congruence formulae
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• MULTIPLICATIVE SUBGROUPS OF J 0(N) AND APPLICATIONS TO ELLIPTIC CURVES
• Rank-one quadratic twists of an infinite family of elliptic curves
• Universal Bounds on the Torsion of Elliptic Curves
• Ranks of quadratic twists of an elliptic curve
• RATIONAL TORSION ON OPTIMAL CURVES

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