Number Theory Seminar

Alina Cojocaru
UIC
Squarefree orders for reductions of elliptic curves
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.
Wednesday September 17, 2008 at 2:00 PM in SEO 636
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