Nicolas Mascot

activity

20182022

collaborators

5 papers

math.NT2022

A method to prove that a modular Galois representation has large image

Nicolas Mascot

Let $ρ$ be a mod $ℓ$ Galois representation attached to a newform $f$ . Explicit methods are sometimes able to determine the image of $ρ$ , or even the number field cut out by $ρ$ ,…

math.NT2022

Computing the trace of an algebraic point on an elliptic curve

Nicolas Mascot, Denis Simon

We present a simple and efficient algorithm to compute the sum of the algebraic conjugates of a point on an elliptic curve.

math.NT2019

A Prym variety with everywhere good reduction over $Q (61)$

Nicolas Mascot, Jeroen Sijsling, John Voight

We compute an equation for a modular abelian surface $A$ that has everywhere good reduction over the quadratic field $K = Q (61)$ and that does not admit a principal…

math.NT2018

Explicit computation of a Galois representation attached to an eigenform over SL3 from the H2 étale of a surface

Nicolas Mascot

We sketch a method to compute mod $ℓ$ Galois representations contained in the H2 étale of surfaces. We apply this method to the case of a representation with values in GL(3,9) a…

math.NT2018

Hensel-lifting torsion points on Jacobians and Galois representations

Nicolas Mascot

Let $ρ$ be a mod $ℓ$ Galois representation. We show how to compute $ρ$ , given the characteristic polynomial of the image of the Frobenius at one prime $p$ and a curve $C$ whose…

A method to prove that a modular Galois representation has large image

Computing the trace of an algebraic point on an elliptic curve

A Prym variety with everywhere good reduction over Q(61​)

Explicit computation of a Galois representation attached to an eigenform over SL3 from the H2 étale of a surface

Hensel-lifting torsion points on Jacobians and Galois representations

A Prym variety with everywhere good reduction over $Q (61)$