Elliptic curves with good reduction everywhere over quadratic fields and having rational \(j\)-invariant

zbMath0471.14019MaRDI QIDQ1157370

Bennett Setzer

Publication date: 1981

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

good reductionHasse invariant2-division pointglobal minimal modelabsolute invariantelliptic curves over quadratic field

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25)

Related Items (7)

On the existence of abelian surfaces with everywhere good reduction ⋮ Certain abelian varieties bad at only one prime ⋮ Nonexistence of elliptic curves with good reduction everywhere over real quadratic fields ⋮ Elliptic curves with everywhere good reduction ⋮ Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere ⋮ Arithmetic Aspects of Bianchi Groups ⋮ Examples of abelian surfaces with everywhere good reduction

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