DOI 10.1007/s00208-009-0373-1 Mathematische Annalen Averages of elliptic curve constants

Abstract We compute the averages over elliptic curves of the constants occurring in the Lang–Trotter conjecture, the Koblitz conjecture, and the cyclicity conjecture. The results obtained confirm the consistency of these conjectures with the corresponding “theorems on average ” obtained recently by various authors.