A formula for the Größencharacter of a parametrized elliptic curve

DOI10.1016/0022-314X(83)90056-2zbMath0538.14032MaRDI QIDQ793117

Robert S. Rumely

Publication date: 1983

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

complex multiplicationGrössencharacter of elliptic curveidele groupShimura reciprocity

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Class field theory (11R37) Complex multiplication and abelian varieties (14K22) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items (3)

Counting points on \(\text{CM}\) elliptic curves ⋮ Choosing the correct elliptic curve in the CM method ⋮ Point counting on reductions of CM elliptic curves

Cites Work

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• On certain reciprocity-laws for theta functions and modular forms
• Good reduction of abelian varieties
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• On the Grossencharacter of an Abelian Variety in a Parametrized Family
• Elliptic Curves and Wild Ramification
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields
• Jacobi Sums as "Grossencharaktere"

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