  We establish new upper bounds for the height of the S-integral points of an
elliptic curve. This bound is explicitly given in terms of the set S of places
of the number field K involved, but also in terms of the degree of K, as well
as the rank, the regulator and the height of a basis of the Mordell-Weil group
of the curve. The proof uses the elliptic analogue of Baker's method, based on
lower bounds for linear forms in elliptic logarithms.
