Matteo Verzobio

collaborators

4 papers

math.NT2025

Selmer groups of families of elliptic curves with an $ℓ$ -isogeny

Stephanie Chan, Matteo Verzobio

For certain families of elliptic curves admitting a rational isogeny of prime degree $ℓ$ , we establish a central limit theorem for the Tamagawa ratio and derive bounds on its av…

math.NT2025

Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

Stefan BaraÅczuk, Bartosz NaskrÄcki, Matteo Verzobio

Let $A$ be an abelian variety defined over a number field $K$ , $E / K$ be an elliptic curve, and $I ¨ : A \to E^{m}$ be an isogeny defined over $K$ . Let $P \in A (K)$ be such that $Ï(P)=(Q_…

math.NT2025

The density of elliptic curves over $Q_{p}$ with a rational 3-torsion point or a rational 3-isogeny

Stevan GajoviÄ, Lazar RadiÄeviÄ, Matteo Verzobio

We determine the probability that a random Weierstrass equation with coefficients in the $p$ -adic integers defines an elliptic curve with a non-trivial $3$ -torsion point, or with a…

math.NT2025

On the $L$ -polynomials of curves over finite fields

Francesco Ballini, Davide Lombardo, Matteo Verzobio

We discuss, in a non-Archimedean setting, the distribution of the coefficients of $L$ -polynomials of curves of genus $g$ over $F_{q}$ . Among other results, this allows us to…

Selmer groups of families of elliptic curves with an ℓ-isogeny

Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve

The density of elliptic curves over Qp​ with a rational 3-torsion point or a rational 3-isogeny

On the L-polynomials of curves over finite fields

Selmer groups of families of elliptic curves with an $ℓ$ -isogeny

The density of elliptic curves over $Q_{p}$ with a rational 3-torsion point or a rational 3-isogeny

On the $L$ -polynomials of curves over finite fields