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Computing the eigenvalue in the SchoofElkiesAtkin algorithm using Abelian lifts
"... The SchoofElkiesAtkin algorithm is the best known method for counting the number of points of an elliptic curve defined over a finite field of large characteristic. We use Abelian properties of division polynomials to design a fast theoretical and practical algorithm for finding the eigenvalue. 1. ..."
Abstract

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The SchoofElkiesAtkin algorithm is the best known method for counting the number of points of an elliptic curve defined over a finite field of large characteristic. We use Abelian properties of division polynomials to design a fast theoretical and practical algorithm for finding the eigenvalue. 1.