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arXiv · 0804.1565

Modular polynomials for genus 2

Reinier Broker·Kristin Lauter
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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.

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Reinier Broker, Kristin Lauter. 2009-02-04. Modular polynomials for genus 2. https://arxiv.org/abs/0804.1565

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