On the number of elliptic curves with prescribed isogeny or torsion   group over number fields of prime degree
  Let $p$ be a prime and $K$ a number field of degree $p$. We count the number of elliptic curves, up to $\bar{K}$-isomorphism, having a prescribed property, where this property is either that the curve contains a fixed torsion group as a subgroup, or that it has an isogeny of prescribed degree. 
Filip Najman
math.NT math.AG