Determination of elliptic curves with everywhere good reduction over ℚ(√37)

DOI10.4064/aa-83-3-253-269zbMath0915.11033OpenAlexW856851115MaRDI QIDQ4385591

Takaaki Kagawa

Publication date: 20 April 1998

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207122

zbMATH Keywords

elliptic curvesreal quadratic fieldsdiophantine equationseverywhere good reduction

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25)

Related Items (4)

Computing Hilbert Modular Forms over Fields with Nontrivial Class Group ⋮ The Diophantine equation \(X^3=u+27v\) over real quadratic fields ⋮ Elliptic curves over real quadratic fields with everywhere good reduction and a non-trivial 3-division point ⋮ Examples of abelian surfaces with everywhere good reduction

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