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Average Frobenius distribution for elliptic curves defined over finite Galois extensions of the rationals

Average Frobenius distribution for elliptic curves defined over finite Galois extensions of the rationals

Abstract Let K be a fixed number field, assumed to be Galois over ℚ. Let r and f be fixed integers with f positive. Given an elliptic curve E , defined over K , we consider the problem of counting the number of degree f prime ideals of K with …