On the independence of Heegner points associated to distinct quadratic   imaginary fields on CM elliptic curves
  This paper is complementary to the work Rosen-Silverman, which derives a criteria on the number fields for the independence of Heegner points associated to them on non-CM elliptic curves. We show that the same criteria holds for CM elliptic curves. A generalisation of the independence criteria for the Heegner points associated to an order of fixed conductor of quadratic imaginary fields can also be found in this paper. 
Hatice Sahinoglu
math.NT math.AG