  We consider attractor varieties arising in the construction of dyonic black
holes in Calabi-Yau compactifications of IIB string theory. We show that the
attractor varieties are constructed from products of elliptic curves with
complex multiplication for $\mathcal{N}=4,8$ compactifications. The heterotic
dual theories are related to rational conformal field theories. The emergence
of curves with complex multiplication suggests many interesting connections
between arithmetic and string theory. This paper is a brief overview of a
longer companion paper entitled ``Arithmetic and Attractors,'' hep-th/9807087.
