Elliptic Curves with Good Reduction Everywhere

DOI10.1112/jlms/s2-25.2.216zbMath0499.14011OpenAlexW2016342288MaRDI QIDQ3964705

David E. Rohrlich

Publication date: 1982

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-25.2.216

zbMATH Keywords

good reductioncomplex multiplicationimaginary quadratic fieldHecke characterselliptic curve with invariant j

Mathematics Subject Classification ID

Quadratic extensions (11R11) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Zeta functions and (L)-functions of number fields (11R42) Arithmetic ground fields for abelian varieties (14K15) Complex multiplication and abelian varieties (14K22) Global ground fields in algebraic geometry (14G25)

Related Items (4)

Compatibility of arithmetic and algebraic local constants (the case ) ⋮ Singular moduli, modular polynomials, and the index of the closure of \({\mathbb{Z}}[j(\tau)\) in \({\mathbb{Q}}(j(\tau))\)] ⋮ Family of elliptic curves with good reduction everywhere over number fields of given degree ⋮ Frobenius lifts and elliptic curves with complex multiplication

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