  We give an explicit formula for the rational category of an elliptic space
whose minimal model has a homogeneous-length differential. We also show that
for such a space, there are no gaps in the sequence of integers realized as the
rational Toomer invariant of some cohomology class. With an additional
hypothesis, we show a result from which we deduce the relation dim(H^*(X;Q)) >=
2 cat_0(X).
