P. Lemos

collaborators

2 papers

math.NT2018

Some cases of Serre's uniformity problem

Pedro Lemos

We show that if $E / Q$ is an elliptic curve without complex multiplication and for which there is a prime $q$ such that the image of $ρ ˉ_{E, q}$ is contained in the norma…

math.NT2017

Serre's Uniformity Conjecture for Elliptic Curves with Rational Cyclic Isogenies

Pedro Lemos

Let $E$ be an elliptic curve over $Q$ such that $End_{Q ˉ} (E) = Z$ and which admits a non-trivial cyclic $Q$ -isogeny. We prove that,…