James Parks: The Lang-Trotter Conjecture for two elliptic curves

Fix an integer t and let E be an elliptic curve defined over
the rationals without complex multiplication. In 1976, Lang and
Trotter gave an asymptotic conjecture for the number of primes up to x
such that for a prime p, the trace of the Frobenius automorphism
a_p(E)=t with an explicit conjectural constant. In this talk I will
discuss the conjectural constant of the Lang-Trotter Conjecture and
give a version of this conjecture for two elliptic curves. This is
joint work with Amir Akbary.