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X(6), X(69), X(206), X(219), X(478), X(577), X(1249), X(2165)

A', B', C' : midpoints of ABC

K260 is a member of the class CL033 (Deléham cubics).

The nodal tangents at X(6) are parallel to the asymptotes of the Jerabek hyperbola. The tangents at A, B, C concur at X(184).

For any point Q on the Euler line, the trilinear polar of Q meets the lines KA', KB', KC' at Qa, Qb, Qc. ABC and QaQbQc are perspective and the perspector is a point on K260. This gives a simple way to find a lot of reasonably simple points on the curve.

K260 is the O-isoconjugate of K257 and the X(184)-isoconjugate of the Lemoine cubic K009. It is also psK(X184, X2, X6) in Pseudo-Pivotal Cubics and Poristic Triangles.

K260 is the locus of poles of all pKs having the same asymptotic directions as the Orthocubic K006.

See K429, a very similar cubic.