| Résume | Let $E$ be an elliptic curve over a number field $K$, and $n$ bea positive integer. In this elementary talk we consider the problem of characterizing the primes of $K$ which are complete split in the extension $K(E[n])/K$. If $K$ is either $\mathbb Q$ or a quadratic extension of it, and $n>2$,then we show how the above question can be answered using Hilbert Class Polynomials. This work was motivated by a question raised by Wiese andMerel. |
