On the computation of generalized division polynomials

KÜÇÜKSAKALLI Ö.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3906/mat-1410-29
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.547-555
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

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.