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.

arXiv commentFinal version, accepted in the Journal of Algebra

References in corpus (8)

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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