K. Rubin, A. Silverberg
Published 2007-06-25, updated 2009-08-06Version 4
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.
Comments: Minor corrections. To appear in Journal of Number Theory
The density and distribution of CM elliptic curves over $\mathbb{Q}$
On the Constants of the Lang-Trotter Conjecture for CM Elliptic Curves
Models of CM elliptic curves with a prescribed $\ell$-adic Galois image
![QR code for arXiv:0706.3711 [math.NT]](http://oss.arxitics.com/images/favicon.svg)