On the computation of generalized division polynomials

KÜÇÜKSAKALLI Ö.

TURKISH JOURNAL OF MATHEMATICS, vol.39, no.4, pp.547-555, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 4
  • Publication Date: 2015
  • Doi Number: 10.3906/mat-1410-29
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.547-555
  • Middle East Technical University Affiliated: Yes

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.