Heegner Points on Cartan Non-split Curves

Let E/Q be an elliptic curve of conductor N, and let K be an imaginary quadratic field such that the root number of E/K is -1. Let 0 be an order in K and assume that there exists an odd prime p such that p(2) parallel to N, and p is inert in 0. Although there are no Heegner points on X-0 (N) attached to 0, in this article we construct such points on Cartan non-split curves. In order to do that, we give a method to compute Fourier expansions for forms on Cartan non-split curves, and prove that the constructed points form a Heegner system as in the classical case.