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math.NT2003
Improved Weil and Tate pairings for elliptic and hyperelliptic curves
Kirsten Eisentraeger, Kristin Lauter, Peter L. Montgomery
We present algorithms for computing the squared Weil and Tate pairings on elliptic curves and the squared Tate pairing for hyperelliptic curves. The squared pairings introduced in…
math.NT2003★ 12 cited
Primes in the denominators of Igusa Class Polynomials
Kristin Lauter
The purpose of this note is to suggest an analogue for genus 2 curves of part of Gross and Zagier's work on elliptic curves. Experimentally, for genus 2 curves with CM by a quartic…