Cayley's ruled cubic surface

In differential geometry, Cayley's ruled cubic surface is the ruled cubic surface
 * $$x^3 + (4 x\, z + y) x =0.\ $$

It contains a nodal line of self-intersection and two cuspital points at infinity.

In projective coordinates it is $$x^3 + (4 x\, z + y\, w) x =0.\ $$.