Torsion subgroups of elliptic curves over quintic and sextic number fields

Maarten Derickx, Andrew V. Sutherland

Let ${\Phi }^{\infty }(d)$ denote the set of finite abelian groups that occur infinitely often as the torsion subgroup of an elliptic curve over a number field of degree $d$. The sets $Φ^\i…