Weierstrass equations and the minimal discriminant of an elliptic curve

DOI10.1112/S0025579300012468zbMath0545.14023MaRDI QIDQ3335893

Joseph H. Silverman

Publication date: 1984

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesj-invariantclass number greater than 1global minimal Weierstrass equations

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Global ground fields in algebraic geometry (14G25)

Related Items (4)

Galois structure and de Rham invariants of elliptic curves ⋮ Highly ramified pencils of elliptic curves in characteristic 2 ⋮ Global Weierstrass equations of hyperelliptic curves ⋮ The density of elliptic curves having a global minimal Weierstrass equation

Cites Work

• Discriminants of algebraic number fields
• Elliptic curves over complex quadratic fields
• The discriminants of relative extensions and the existence of integral bases

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