On the computation of generalized division polynomials

Authors : Ömer KÜÇÜKSAKALLI

Pages : 547-555

Doi:10.3906/mat-1410-29

View : 8 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

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.
Keywords : Complex multiplication, division polynomial, Hurwitz number