On J//1(p) and the conjecture of Birch and Swinnerton-Dyer

DOI10.1215/S0012-7094-82-04921-3zbMath0504.10012WikidataQ122904313 ScholiaQ122904313MaRDI QIDQ1835697

Sheldon Kamienny

Publication date: 1982

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

zbMATH Keywords

modular curvesMordell-Weil groupJacobian varietyHecke operatorsEisenstein idealBirch Swinnerton-Dyer conjectureEisenstein quotient

Mathematics Subject Classification ID

Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Structure of modular groups and generalizations; arithmetic groups (11F06) Holomorphic modular forms of integral weight (11F11) Arithmetic ground fields for abelian varieties (14K15)

Related Items (5)

Torsion points on elliptic curves over all quadratic fields ⋮ Some remarks on a theorem of Parent and generalizing Ogg's conjecture ⋮ Points of order \(p\) on elliptic curves over \(\mathbb Q(\sqrt p)\) ⋮ Rational families of 17-torsion points of elliptic curves over number fields ⋮ Unnamed Item

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