Heegner points on modular elliptic curves

DOI10.3792/pjaa.72.223zbMath0891.11033OpenAlexW2041502323MaRDI QIDQ1357045

Hajime Nakazato

Publication date: 20 July 1998

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.72.223

zbMATH Keywords

\(L\)-functionHilbert class fieldHeegner pointmodular elliptic curve

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Global ground fields in algebraic geometry (14G25)

Related Items (2)

Remarks on a conjecture of Lang ⋮ Effective lower bound for the class number of a certain family of real quadratic fields

Cites Work

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• Heegner points and derivatives of \(L\)-series
• Galois properties of points of finite order of elliptic curves
• FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES
• ON THE MORDELL-WEIL AND SHAFAREVICH-TATE GROUPS FOR WEIL ELLIPTIC CURVES
• ELLIPTIC CURVES OF INFINITE RANK OVER Γ-EXTENSIONS
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields

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