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u x (y^2 - z^2) = 0

with u : v : w = X(299)

X(2), X(14), X(299), X(370), X(617)

2 (not always real) mates of X(370), see Table 10

K264b is the isotomic pK with pivot X(299), the isotomic conjugate of X(14). It belongs to the pencil of isotomic pKs generated by the Lucas cubic and the degenerated cubic which is the union of the medians of ABC. Hence, all these cubics have the same tangent, the same polar conic, the same osculating circle at G. See details at K264a.

K264b is the isogonal transform of pK(X32, X16).

One of the most interesting fact is that K264b contains the point X(14) and three mates of X(370), all related to equilateral triangles.

See table 10 : X(370) related curves.