  In this note we consider certain elliptic curves defined over real quadratic
fields isogenous to their Galois conjugate. We give a construction of algebraic
points on these curves defined over almost totally real number fields. The main
ingredient is the system of Heegner points arising from Shimura curve
uniformizations. In addition, we provide an explicit $p$-adic analytic formula
which allows for the effective, algorithmic calculation of such points.
