A relation between the value of the L-series of the curve: \(y^ 2=x^ 3-k^ 3\) in \(s=1\) and its Selmer group

DOI10.1007/BF01275575zbMath0575.14027OpenAlexW2077986444MaRDI QIDQ1064369

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Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01275575

zbMATH Keywords

Galois cohomologyelliptic curveBirch Swinnerton-Dyer conjectureevaluation of L-series

Mathematics Subject Classification ID

Galois cohomology (12G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Congruences between cusp forms and Eisenstein series of half-integral weight ⋮ Note on the rank of quadratic twists of Mordell equations

Cites Work

• The rank of the solutions of \(Y^2=X^3\pm p^3\) over \(\mathbb Q\)
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• On the conjecture of Birch and Swinnerton-Dyer
• CYCLOTOMIC FIELDS AND MODULAR CURVES

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