| Sumario: | 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 O be an order in K and assume that there exists an odd prime p such that p2 ∥ N, and p is inert in O. Although there are no Heegner points on X0(N) attached to O, 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. © Canadian Mathematical Society 2016.
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