Ignasi S'anchez-Rodr'iguez

collaborators

3 papers

math.NT2025

Revisiting the equation $x^{2} + y^{3} = z^{p}$

Nuno Freitas, Diana Mocanu, Ignasi Sanchez-Rodriguez

Let $E / Q$ be an elliptic curve and $p \geq 3$ a prime. The modular curve $X_{E}^{-} (p)$ parameterizes elliptic curves with $p$ -torsion modules anti-symplectically isomorphic to…

math.NT2025

Comparing Galois representations in the residually reducible case

Nuno Freitas, Ignasi SÃ¡nchez-RodrÃguez

Let $n \geq 2$ and $p$ be a prime. Let $K$ be a number field and consider two Galois representations $Ï_1, Ï_2 : \operatorname{Gal}(\overline{K} / K) \to \operatorname{GL}_n(\mat…

math.NT2025

Symplectic criteria for elliptic curves, revisited

Alain Kraus, Nuno Freitas, Ignasi SÃ¡nchez-RodrÃguez

Let $ℓ$ and $p \geq 3$ be different primes. Let $E / Q_{ℓ}$ and $E^{'} / Q_{ℓ}$ be elliptic curves with isomorphic $p$ -torsion. Assume that $E$ has potentially mult…

Revisiting the equation x2+y3=zp

Comparing Galois representations in the residually reducible case

Symplectic criteria for elliptic curves, revisited

Revisiting the equation $x^{2} + y^{3} = z^{p}$