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math.NT2008
Modular polynomials for genus 2
Reinier Broker, Kristin Lauter
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…
math.NT2008★ 7 cited
Computing Hilbert Class Polynomials
Juliana Belding, Reinier Bröker, Andreas Enge +1
We present and analyze two algorithms for computing the Hilbert class polynomial . The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D <…