Elliptic curves over Hasse pairs

Eleni Agathocleous, Antoine Joux, Daniele Taufer

We call a pair of distinct prime powers $(q_1,q_2)=(p_1^{a_1},p_2^{a_2})$ a Hasse pair if $|\sqrt{q_1}-\sqrt{q_2}|\le 1$. For such pairs, we study the relation between the set…