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Good reduction of elliptic curves defined over \({\mathbb Q}(^ 3\sqrt{2})\)

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Publication:1820835
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DOI10.1007/BF01313493zbMath0615.14016OpenAlexW2044452554MaRDI QIDQ1820835

Massimo Bertolini, Giuseppe Canuto

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01313493


zbMATH Keywords

cubic ground fieldno elliptic curves with good reduction everywhere group of units


Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Cubic and quartic extensions (11R16) Global ground fields in algebraic geometry (14G25)


Related Items (2)

Reduction of elliptic curves over certain real quadratic number fields ⋮ Elliptic curves with good reduction everywhere over cubic fields



Cites Work

  • Reduction of elliptic curves over imaginary quadratic number fields
  • The arithmetic of elliptic curves
  • Elliptic curves over complex quadratic fields
  • Ellitpic curves and modular functions
  • Algorithm for determining the type of a singular fiber in an elliptic pencil
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