%0 Journal Article %T Point counting on reductions of CM elliptic curves %A K. Rubin %A A. Silverberg %J Mathematics %D 2007 %I arXiv %R 10.1016/j.jnt.2009.01.020 %X 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 $\mathbf{Q}$-curves in certain cases. This generalizes earlier results of Gross, Stark, and others. %U http://arxiv.org/abs/0706.3711v4