Alina Carmen Cojocaru, Matthew Fitzpatrick
Published 2020-03-02Version 1
Let $E/\mathbb{Q}$ be a non-CM elliptic curve. Assuming GRH, we prove that, for a set of primes $p$ of density $1$, the absolute discriminant of the $\mathbb{F}_p$-endomorphism ring of the reduction of $E$ modulo $p$ is close to maximal.
Uniform bounds on the image of arboreal Galois representations attached to non-CM elliptic curves
Explicit open images for elliptic curves over $\mathbb{Q}$
Computing the endomorphism ring of an ordinary elliptic curve over a finite field
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