  Let n be a positive integer and t a non-zero integer. We consider the
elliptic curve over Q given by E : y 2 = x 3 + tx 2 -- n 2 (t + 3n 2)x + n 6.
It is a special case of an elliptic surface studied recently by Bettin, David
and Delaunay [2] and it generalizes Washington's family. The point (0, n 3)
belongs to E(Q) and we obtain some results about its nondivisibility in E(Q).
Our work extends to this two-parameter family of elliptic curves a previous
study of Duquesne (mainly stated for n = 1 and t > 0).
