Klein cubic threefold

In algebraic geometry, the Klein cubic threefold is the non-singular cubic threefold in 4-dimensional projective space given by the equation


 * $$V^2W+W^2X+X^2Y+Y^2Z+Z^2V =0 \, $$

studied by. Its automorphism group is the group PSL2(11) of order 660. It is unirational but not a rational variety. showed that it is birational to the moduli space of (1,11)-polarized abelian surfaces.