Diana Mocanu

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

Local points on twists of $X (p)$ with applications

Nuno Freitas, Diana Mocanu

Let $E / Q$ be an elliptic curve and $p \geq 3$ a prime. The modular curve $X_{E}^{-} (p)$ parametrizes elliptic curves with $p$ -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…

Revisiting the equation x2+y3=zp

Local points on twists of X(p) with applications

Weil polynomials of abelian varieties over finite fields

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

Local points on twists of $X (p)$ with applications