Modular polynomials for genus 2

Details Modular polynomials for genus 2 Modular polynomials for genus 2

2008-04-09

arxiv.org/abs/0804.1565v2

Mathematics

Number Theory

Scientific paper

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.

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