Periods of quadratic twists of elliptic curves

DOI10.1090/S0002-9939-2011-11014-1zbMath1264.11048arXiv1012.0094OpenAlexW2059324275MaRDI QIDQ5390203

Vivek Pal

Publication date: 27 April 2012

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

Full work available at URL: https://arxiv.org/abs/1012.0094

zbMATH Keywords

Birch and Swinnerton-Dyer conjectureElliptic curvesreal period

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (11)

Quadratic twists of \(X_0(14)\) ⋮ Elliptic curves of rank zero satisfying the \(p\)-part of the Birch and Swinnerton-Dyer conjecture ⋮ Extreme central \(L\)-values of almost prime quadratic twists of elliptic curves ⋮ Heegner points on modular curves ⋮ On a theorem of Bertolini-Darmon on the rationality of Stark-Heegner points over genus fields of real quadratic fields ⋮ Quadratic twists of elliptic curves ⋮ A $p$-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties ⋮ Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves ⋮ On a conjecture of Agashe ⋮ A conjecture of Watkins for quadratic twists ⋮ The algebraic parts of the central values of quadratic twists of modular \(L\)-functions modulo \(\ell\)

Cites Work

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• Torsion subgroups of elliptic curves over quadratic extensions
• The Manin constant. (With an appendix by J. Cremona)
• Fourier coefficients of half-integral weight modular forms modulo \(\ell\)
• Number theory III: Diophantine geometry
• Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero
• SQUARENESS IN THE SPECIAL L-VALUE AND SPECIAL L-VALUES OF TWISTS

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