3 papers
math.NT2026
Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images
Matthew Bisatt, Lorenzo Furio, Davide Lombardo
Let be an elliptic curve whose mod Galois image is contained in the normaliser of a non-split Cartan. We classify the possible -adic images of using too…
math.NT2025
On 7-adic Galois representations for elliptic curves over
Lorenzo Furio, Davide Lombardo
In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of -adic Galois represen…
math.NT2024
Effective bounds for adelic Galois representations attached to elliptic curves over the rationals
Lorenzo Furio
Given an elliptic curve defined over without complex multiplication, we provide an explicit sharp bound on the index of the image of the adelic representation $ρ_E…