BSD Plan for 2007-05-02 1. Prove that the class group acts simply transitively on CM elliptic curves with CM by a given order. 2. State some facts from class field theory: a. Definition of the Hilbert class field H b. That the Galois group of H is canonically the class group 3. CM again: that the CM curves are defined over H and the Galois action on them is via the class group from (1).