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Turkish Journal of Mathematics

DOI

10.3906/mat-1410-29

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

First Page

547

Last Page

555

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Mathematics Commons

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