Matteo Verzobio

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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

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

Stevan Gajović, Lazar Radičević, 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.NT2023

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

Stefan Barańczuk, Bartosz Naskręcki, Matteo Verzobio

Let $A$ be an abelian variety defined over a number field $K$ , $E / K$ be an elliptic curve, and $ϕ : A \to E^{m}$ be an isogeny defined over $K$ . Let $P \in A (K)$ be such that $ϕ(P)=(Q_1,…

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

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

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

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