Our present goal is to prove that the j-invariants of the elliptic curves of conductor generate the Hilbert class eld of K. More generally, we want to show that the invariants of the curves of conductor c generate the ring class eld of conductor c. S Let us recall the basic setup. We x a positive integer c.

@inproceedings{JulyComplexM,
title={Complex Multiplication : Part 3 July 15 , 2009},
author={July}
}