On the computation of generalized division polynomials


KÜÇÜKSAKALLI Ö.

TURKISH JOURNAL OF MATHEMATICS, cilt.39, sa.4, ss.547-555, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3906/mat-1410-29
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.547-555

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.