  We explain the relationship between the sigma orientation and Witten genus on
the one hand and the two-variable elliptic genus on the other. We show that if
E is an elliptic spectrum, then the Theorem of the Cube implies the existence
of canonical SU-orientation of the associated spectrum of Jacobi forms. In the
case of the elliptic spectrum associated to the Tate curve, this gives the
two-variable elliptic genus. We also show that the two-variable genus arises as
an instance of the circle-equivariant sigma orientation.
