The non-existence of elliptic curves with everywhere good reduction over certain imaginary quadratic fields

DOI10.2969/jmsj/03120273zbMath0395.14011OpenAlexW2033088404MaRDI QIDQ1252908

H. Ishii

Publication date: 1979

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

Full work available at URL: https://doi.org/10.2969/jmsj/03120273

zbMATH Keywords

Elliptic CurvesEverywhere Good ReductionImaginary Quadratic Fields

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Arithmetic ground fields for abelian varieties (14K15)

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Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere, Reduction of elliptic curves over imaginary quadratic number fields, Arithmetic Aspects of Bianchi Groups