Potential good reduction of elliptic curves.

DOI10.1006/jsco.2002.0555zbMath1053.11050OpenAlexW1968028525MaRDI QIDQ1864884

Masanari Kida

Publication date: 23 March 2003

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

Full work available at URL: https://doi.org/10.1006/jsco.2002.0555

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items

Hirzebruch-Zagier cycles and twisted triple product Selmer groups ⋮ Wild quotient singularities of surfaces ⋮ Quadratic fields admitting elliptic curves with rational \(j\)-invariant and good reduction everywhere ⋮ Arithmetic Aspects of Bianchi Groups ⋮ Elliptic curves with good reduction everywhere over cubic fields

Uses Software

• KANT/KASH
• TECC
• ecdata

Cites Work

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• On Néron's classification of elliptic curves of residue characteristics 2 and 3
• Reduction of elliptic curves over imaginary quadratic number fields
• Elliptic curves over complex quadratic fields
• A construction of everywhere good \(\mathbb{Q}\)-curves with \(p\)-isogeny
• Twists and reduction of an elliptic curve
• KANT V4
• Computing elliptic curves having good reduction everywhere over quadratic fields
• Galois descent and twists of an abelian variety
• On the arithmetic of abelian varieties