X(2), X(6), X(262), X(378), X(995), X(1002), X(1340), X(1341), X(5968), X(7757), X(14608)
isogonal conjugates of X(1344), X(1345)
points at infinity of the Grebe cubic K102
Its is also the locus of M such that the lines KM and GM* intersect on the circumcircle.
K280 is a nodal cubic with node G, the nodal tangents being parallel to the asymptotes of the circum-conic through G and K. It has three real asymptotes parallel to those of the Grebe cubic. It meets the circumcircle at the same points as the Thomson cubic. See the related quartic Q090.
It is a tripolar centroidal cubic of the class CL045.
K280 is the cubic Ke1(X2) in CL054.