Density of Elliptic Curves over Number Fields with Prescribed Torsion Subgroups

Bo-Hae Im, Hansol Kim

Let $K$ be a number field. For positive integers $m$ and $n$ such that $m\mid n$, we let ${\mathcal{S}}_{m,n}$ be the set of elliptic curves $E/K$ defined over $K$ such that $E(K)_{\…