  M. Nori proved that on a projective smooth variety, a bundle is finite, (that
is the ring it generates has dimension 0), if and only if it trivializes on a
finite cover. In this note, we consider bundles of degree 0 on an elliptic
curve. We prove that the dimension of the ring generated by such a bundle is
the same as the dimension of a torsor trivializing the bundle (and is 1).
