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Primality of the number of points on an elliptic curve over a finite field

Primality of the number of points on an elliptic curve over a finite field

Given a fixed elliptic curve E defined over Q having no rational torsion points, we discuss the probability that the number of points on E mod/? is prime as the prime p varies.We give conjectural asymptotic formulas for the number of p < n for which this number is prime, …