Point counting on reductions of CM elliptic curves
Number Theory
2009-08-06 v4
Abstract
We give explicit formulas for the number of points on reductions of elliptic curves with complex multiplication by any imaginary quadratic field. We also find models for CM -curves in certain cases. This generalizes earlier results of Gross, Stark, and others.
Keywords
Cite
@article{arxiv.0706.3711,
title = {Point counting on reductions of CM elliptic curves},
author = {K. Rubin and A. Silverberg},
journal= {arXiv preprint arXiv:0706.3711},
year = {2009}
}
Comments
Minor corrections. To appear in Journal of Number Theory