Divisibility of torsion subgroups of abelian surfaces over number fields

John Cullinan, Jeffrey Yelton

Let $A$ be a 2-dimensional abelian variety defined over a number field $K$. Fix a prime number $\ell$ and suppose $\#A({\mathbb{F}}_p)\equiv 0(\mathrm{mod}{\ell }^2)$ for a set of primes $\m…