Computing twists of hyperelliptic curves

Abstract

We give an efficient algorithm to compute equations of twists of hyperelliptic curves of arbitrary genus over any separable field (of characteristic different from 2), and we explicitly describe some interesting examples.

Final version, accepted in the Journal of Algebra

References in corpus (4)

• Fields of moduli and fields of definition of curves
• Sato-Tate distributions of twists of the Fermat and the Klein quartics
• Twists of Elliptic Curves
• The twisting Sato-Tate group of the curve $y^2=x^8-14x^4+1$

Cited by in corpus (3)

• Twists of Elliptic Curves
• A Classification of Genus 0 Modular Curves with Rational Points
• Plane model-fields of definition, fields of definition, the field of moduli of smooth plane curves