ON THE INDEPENDENCE OF HEEGNER POINTS ON CM ELLIPTIC CURVES ASSOCIATED TO DISTINCT QUADRATIC IMAGINARY FIELDS.

In this paper we give a sufficient condition on the class numbers of distinct quadratic imaginary fields so that on a given CM elliptic curve over Q with fixed modular parameterization, the Heegner points associated to (the maximal orders of) these quadratic imaginary fields are linearly independent. This extends results of Rosen and Silverman from the non-CM to the CM case. [ABSTRACT FROM AUTHOR]