Juliana Belding

most citedComputing Hilbert Class Polynomials

7 citations · 7 across the 2 of their papers we have counts for

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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 $H_{D}$ . The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D <…

math.NT2007

A Weil pairing on the $p$ -torsion of ordinary elliptic curves over the dual numbers of $K$

Juliana V. Belding

For an elliptic curve $E$ over any field $K$ , the Weil pairing $e_{n}$ is a bilinear map on $n$ -torsion. For $K$ of characteristic $p > 0$ , the map $e_{n}$ is degenerate if and only if $…

Computing Hilbert Class Polynomials

A Weil pairing on the p-torsion of ordinary elliptic curves over the dual numbers of K

A Weil pairing on the $p$ -torsion of ordinary elliptic curves over the dual numbers of $K$