Laura Paladino

activity

20112025

collaborators

4 papers

math.NT2025

On the Hasse principle for divisibility in elliptic curves

Jessica Alessandrì, Laura Paladino

Let $p$ be a prime number and $n$ a positive integer. Let $E$ be an elliptic curve defined over a number field $k$ . It is known that the local-global divisibility by $p$ holds in $…

math.NT2018

On 5-torsion of CM elliptic curves

Laura Paladino

Let $E$ be an elliptic curve defined over a number field $K$ . Let $m$ be a positive integer. We denote by $E [m]$ the $m$ -torsion subgroup of $E$ and…

math.NT2011

On the minimal set for counterexamples to the local-global principle

Laura Paladino, Gabriele Ranieri, Evelina Viada

We prove that only for powers of 2 and 3 could occur counterexamples to the local-global divisibility principle for elliptic curves defined over the rationals. For we refine our pr…

math.NT2011

On local-global divisibility by $p^{2}$ in elliptic curves

Laura Paladino, Gabriele Ranieri, Evelina Viada

Let $p$ be a prime lager than 3. Let $k$ be a number field, which does not contain the subfield of $Q (ζ_{p^{2}})$ of degree $p$ over $Q$ . Suppose that $\mathcal{…

On the Hasse principle for divisibility in elliptic curves

On 5-torsion of CM elliptic curves

On the minimal set for counterexamples to the local-global principle

On local-global divisibility by p2 in elliptic curves

On local-global divisibility by $p^{2}$ in elliptic curves