Reduction of elliptic curves over certain real quadratic number fields

DOI10.1090/S0025-5718-99-01129-1zbMath0930.11037MaRDI QIDQ4257698

Masanari Kida

Publication date: 31 August 1999

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

zbMATH Keywords

elliptic curvesgood reductionreal quadratic fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (5)

A survey on the group of points arising from elliptic curves with a Weierstrass model over a ring ⋮ Elliptic curves with everywhere good reduction ⋮ Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere ⋮ The nonexistence of certain representations of the absolute Galois group of quadratic fields ⋮ Good reduction of elliptic curves over imaginary quadratic fields

Uses Software

• ecdata

Cites Work

• Elliptic curves with trivial conductor over quadratic fields
• Nonexistence of elliptic curves with good reduction everywhere over real quadratic fields
• Good reduction of elliptic curves defined over \({\mathbb Q}(^ 3\sqrt{2})\)
• Galois properties of points of finite order of elliptic curves
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