Modular polynomials for genus 2
Number Theory
2009-02-04 v2
Abstract
Modular 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.
Cite
@article{arxiv.0804.1565,
title = {Modular polynomials for genus 2},
author = {Reinier Broker and Kristin Lauter},
journal= {arXiv preprint arXiv:0804.1565},
year = {2009}
}