The density of elliptic curves having a global minimal Weierstrass equation

DOI10.1016/j.jnt.2004.06.003zbMath1075.11044OpenAlexW2024184244MaRDI QIDQ1764777

Ebru Bekyel

Publication date: 22 February 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.06.003

zbMATH Keywords

elliptic curvesDedekind zeta functionWeierstrass equationminimal model

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (2)

Counting elliptic curves of bounded Faltings height ⋮ Global Weierstrass equations of hyperelliptic curves

Cites Work

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• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Weierstrass equations and the minimal discriminant of an elliptic curve
• The discriminants of relative extensions and the existence of integral bases

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