On the computation of generalized division polynomials

Date

2015-01-01

Author

Küçüksakallı, Ömer

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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.

Subject Keywords

Complex multiplication, Division polynomial, Hurwitz number

URI

https://hdl.handle.net/11511/39887

Journal

TURKISH JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.3906/mat-1410-29

Collections

Department of Mathematics, Article

Citation Formats

Ö. Küçüksakallı, “On the computation of generalized division polynomials,” TURKISH JOURNAL OF MATHEMATICS, vol. 39, no. 4, pp. 547–555, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39887.