Non-CM elliptic curves with infinitely many almost prime Frobenius traces

Alina Carmen Cojocaru, McKinley Meyer

Let $E$ be an elliptic curve defined over $\mathbb{Q}$ and without complex multiplication. For a prime $p$ of good reduction for $E$, we write $\#E_p(\mathbb{F}_p) = p + 1 - a_p(E)…