works on
cluster pictures 1conductor exponents 1generalized fermat equations 1hyperelliptic curves 1modular method 1

From the 1 of 5 linked papers with an AI index.

collaborators

5 papers

math.NT2026

Conductor exponents for families of hyperelliptic curves

Martin Azon, Mar Curcó-Iranzo, Maleeha Khawaja +2

The paper computes conductor exponents at odd primes for three infinite families of hyperelliptic curves using cluster picture techniques, providing an alternative approach to prev…

math.NT2025

Revisiting the equation

Nuno Freitas, Diana Mocanu, Ignasi Sanchez-Rodriguez

Let be an elliptic curve and a prime. The modular curve parameterizes elliptic curves with -torsion modules anti-symplectically isomorphic to…

math.NT2025

Local points on twists of with applications

Nuno Freitas, Diana Mocanu

Let be an elliptic curve and a prime. The modular curve parametrizes elliptic curves with -torsion modules anti-symplectically isomorphic to…

math.NT2025

Weil polynomials of abelian varieties over finite fields

Michael Cerchia, Zeyu Liu, Diana Mocanu +2

In this paper, we investigate Weil polynomials and their relationship with isogeny classes of abelian varieties over finite fields. We give a necessary condition for a degree 12 po…

math.NT2025

Non-trivial Integer Solutions of

Yasemin Kara, Diana Mocanu, Ekin Özman +1

In this paper, we use the modular method over totally real fields together with some standard conjectures (the Weak Frey--Mazur Conjecture and the Eichler--Shimura Conjecture) to p…