2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218331Modular polynomials are an important tool in many algorithms involving elliptic curves. In this article we investigate their generalization to the genus 2 case following pioneering work by Gaudry and Dupont. We prove various properties of these genus 2 modular polynomials and give an improved way to explicitly compute them.Number Theory11Gxxtext