  Let $E$ be an elliptic curve defined over a number field $K$ without complex
multiplication. If $\Gamma \subset E(\overline{K})$ is a subgroup of finite
rank, a very special case of a conjecture of R\'emond predicts that points of
small height in $E(K(\Gamma))$ lie in the division group of $\Gamma$. Using an
equidistribution argument, we will show that this conjecture is true for groups
of rank arbitrarily large.
