A Birch and Swinnerton-Dyer conjecture for the Mazur-Tate circle pairing

DOI10.1215/S0012-7094-04-12216-XzbMath1072.11036OpenAlexW2048817893WikidataQ123092301 ScholiaQ123092301MaRDI QIDQ707487

Henri Darmon, Massimo Bertolini

Publication date: 9 February 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-04-12216-x

zbMATH Keywords

elliptic curvesreal quadratic fieldsHeegner pointsBirch and Swinnerton-Dyer conjecturecircle pairing

Mathematics Subject Classification ID

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

Related Items (2)

Descending Rational Points on Elliptic Curves to Smaller Fields ⋮ A refinement of a conjecture of Gross, Kohnen, and Zagier

Uses Software

• ecdata

Cites Work

• Refined conjectures of the ``Birch and Swinnerton-Dyer type
• Heegner points and derivatives of \(L\)-series. II
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• Quasi-functions and heights on abelian varieties
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Modular Parametrizations of Elliptic Curves
• Central values of Rankin $L$-series over real quadratic fields
• PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES
• Heegner points on Mumford-Tate curves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Birch and Swinnerton-Dyer conjecture for the Mazur-Tate circle pairing