Journals / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 4
On the computation of generalized division polynomials
- Pages
- 547–555
- DOI
- —
Abstract
We give an algorithm to compute the generalized division polynomials for elliptic curves with complex multiplication. These polynomials can be used to generate the ray class fields of imaginary quadratic fields over the Hilbert class field with no restriction on the conductor.
Özet
We give an algorithm to compute the generalized division polynomials for elliptic curves with complex multiplication. These polynomials can be used to generate the ray class fields of imaginary quadratic fields over the Hilbert class field with no restriction on the conductor.