Quantitative upper bounds related to an isogeny criterion for elliptic curves

Alina Carmen Cojocaru, Auden Hinz, Tian Wang

For $E_1$ and $E_2$ elliptic curves defined over a number field $K$, without complex multiplication, we consider the function ${\mathcal{F}}_{E_1,E_2}(x)$ counting non-zero prime…