Number Theory Seminar
Matthew Fitzpatrick
University of Illinois at Chicago
The growth of the discriminant of the endomorphism ring of an elliptic curve (II)
Abstract: Let $E/\mathbb{Q}$ be an elliptic curve defined over the field of rational numbers
and let $p$ be a prime of good reduction for $E$. We discuss recent results on the growth in $p$ of the absolute discriminant
of the ring of $\mathbb{F}_p$-endomorphisms of the reduction of $E$ modulo $p$, valid for a density 1 of primes $p$.
This is joint work with A.C. Cojocaru.
The seminar lasts 80 minutes (9:30am-10:50am).
Friday October 4, 2019 at 9:30 AM in 1227 SEO