On genus one curves of degree 5 with square-free discriminant

zbMath1425.11120arXiv1406.6953MaRDI QIDQ4972479

Mohammad Sadek, Tom A. Fisher

Publication date: 25 November 2019

Full work available at URL: https://arxiv.org/abs/1406.6953

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (1)

A formula for the Jacobian of a genus one curve of arbitrary degree

Cites Work

• Minimisation and reduction of 5-coverings of elliptic curves
• Invariant theory for the elliptic normal quintic. I: Twists of \(X(5)\)
• Higher composition laws. IV: The parametrization of quintic rings
• Minimal genus one curves
• Local solubility and height bounds for coverings of elliptic curves
• Counting models of genus one curves
• Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.
• The invariants of a genus one curve
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
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