Computing minimal Weierstrass equations

Abstract

We describe an algorithm for determining a minimal Weierstrass equation for hyperelliptic curves over principal ideal domains. When the curve has a rational Weierstrass point $w_0$, we also give a similar algorithm for determining the minimal Weierstrass equation with respect to $w_0$.

Renumber the sections to match the published version. Add a hypothesis in Proposition 4.6.2.a that is omitted in the published version

Cited by in corpus (1)

• Computing Euler factors of genus 2 curves at odd primes of almost good reduction