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on both curves :
X(2), X(298), X(299), X(1494),
infinite points of the Steiner ellipses
on K867a = pK(X298, X299)
X(13), X(533), X(617), X(11078), X(11129)
isotomic conjugates of the 3 (always real) mates of X(370), see Table 10
on K867b = pK(X299, X298)
X(14), X(532), X(616), X(11092), X(11128)
isotomic conjugates of X(370) and the 2 (not always real) mates of X(370), see Table 10
Each is the X(2)-Hirst inverse of the other since X(298), X(299) are themselves X(2)-Hirst inverse points. Note that X(11078), X(11092) are also the X(2)-Hirst inverses of X(13), X(14) respectively.
K867a and K867b generate a pencil of circum-cubics which contains pK(X1494, X1494) and the decomposed cubic into the Steiner ellipse and the line passing through X2, X6, X69, X81, X86, X141, X183, X193, X230, X298, X299, etc.