Conductor of elliptic curves with complex multiplication and elliptic curves of prime conductor

DOI10.3792/pja/1195518692zbMath0329.14018OpenAlexW2059690610MaRDI QIDQ4094989

Toshihiro Hadano

Publication date: 1975

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

Full work available at URL: https://doi.org/10.3792/pja/1195518692

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Complex multiplication and abelian varieties (14K22) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items (5)

Evaluation of Character Sums Connected with Elliptic Curves ⋮ Évaluation d'une somme cubique de caractères. (Evaluation of a cubic character sum) ⋮ Rational points on elliptic curves with complex multiplication by the ring of integers in \({\mathbb{Q}}(\sqrt{-7})\) ⋮ On the conjecture of Birch and Swinnerton-Dyer ⋮ Evaluation of a cubic character sum using the \(\sqrt{-19}\) division points of the curve \(y^ 2=x^ 3-2^ 3\cdot 19x+2\cdot 19^ 2\)

Cites Work

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• Arithmetic of Weil curves
• Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
• On the conductor of an elliptic curve with a rational point of order 2
• A table of Hecke operators, II

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