Torsion groups of elliptic curves that appear infinitely often over septic, octic and nonic fields

Filip Najman, Marin Varivoda

We determine the sets ${\Phi }^{\infty }(n)$ of abelian groups that appear as torsion groups of infinitely many elliptic curves, up to $\overline \Q$-isomorphism, over number fields of degr…