  Amicable pairs for a fixed elliptic curve defined over $\mathbb{Q}$ were
first considered by Silverman and Stange where they conjectured an order of
magnitude for the function that counts such amicable pairs. This was later
refined by Jones to give a precise asymptotic constant. The author previously
proved an upper bound for the average number of amicable pairs over the family
of all elliptic curves. In this paper we improve this result to an asymptotic
for the average number of amicable pairs for a family of elliptic curves.
