2 papers
math.NT2026
Torsion groups of elliptic curves that appear infinitely often over septic, octic and nonic fields
Filip Najman, Marin Varivoda
We determine the sets of abelian groups that appear as torsion groups of infinitely many elliptic curves, up to $\overline \Q$-isomorphism, over number fields of deg…
math.NT2026
Cyclic isogenies of elliptic curves over fixed quadratic fields
Barinder S. Banwait, Filip Najman, Oana Padurariu
Building on Mazur's 1978 work on prime degree isogenies, Kenku determined in 1981 all possible cyclic isogenies of elliptic curves over . Although more than 40 years ha…