Alina Cojocaru : Squarefree orders for reductions of elliptic curves

Posted by Alina Carmen Cojocaru , part of the Number Theory Seminar.

At

Sept. 17, 2008, 2 p.m.

In

SEO 636

Abstract

Let $E$ be an elliptic curve over $\mathbb{Q}$ and let $E_p$ be its reduction modulo a prime $p$. The talk will focus on the problem of finding an asymptotic formula for the number of primes $p < x$ for which the order of the group of points of $E_p$ is squarefree, in the case that the global curve $E/\mathbb{Q}$ has Complex Multiplication.