On Torsion Subgroups of Elliptic Curves over Quartic, Quintic and Sextic
Number Fields
On Torsion Subgroups of Elliptic Curves over Quartic, Quintic and Sextic
Number Fields
The list of all groups that can appear as torsion subgroups of elliptic curves over number fields of degree $d$, $d=4,5,6$, is not completely determined. However, the list of groups $\Phi^{\infty}(d)$, $d=4,5,6$, that can be realized as torsion subgroups for infinitely many non-isomorphic elliptic curves over these fields are known. …