We present cuspy, non-axisymmetric, scale-free mass models of discs, whose gravitational potentials are of St��ckel form in parabolic coordinates. A black hole may be added at the centre, without in any way affecting the St��ckel form; the dynamics in these potentials is, of course, fully integrable. The surface density, $��_{disc}\propto 1/r^��$, where $0

4 pages, 2 figures, submitted to MNRAS