  We introduce a class of functions which constitutes an obvious elliptic
generalization of multiple polylogarithms. A subset of these functions appears
naturally in the \epsilon-expansion of the imaginary part of the two-loop
massive sunrise graph. Building upon the well known properties of multiple
polylogarithms, we associate a concept of weight to these functions and show
that this weight can be lowered by the action of a suitable differential
operator. We then show how properties and relations among these functions can
be studied bottom-up starting from lower weights.
