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math.NT2025
Congruences modulo to are trivial
Elie Studnia
We say that two elliptic curves and over are congruent modulo a prime if their -torsion Galois modules (over the algebraic closure of ) are…
math.NT2025
Compactified moduli spaces and Hecke correspondences for elliptic curves with a prescribed -torsion scheme
Elie Studnia
Given an integer , we prove that for any ring and any finite locally free commutative -group scheme whose geometric fibres are isomorphic to the -torsion su…
math.NT2025
L-functions and rational points for Galois twists of modular curves
Elie Studnia
Let be an odd prime and be a rational elliptic curve. There is a smooth affine curve whose rational points parametrize elliptic curves su…