Hesse Pencils and 3-Torsion Structures

Abstract

This paper intends to focus on the universal property of this Hesse pencil and of its twists. The main goal is to do this as explicit and elementary as possible, and moreover to do it in such a way that it works in every characteristic different from three.

References in corpus (2)

• The Hessian of a genus one curve
• Constructing families of elliptic curves with prescribed mod 3 representation via Hessian and Cayleyan curves