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X(4), X(6), X(13), X(14), X(30), X(111), X(1995), X(5523), X(34288), X(34802)

X(46338) → X(46343)

Geometric properties :

K1251 is a circular cubic with singular focus X(11579), a member of the pencil defined in Table 78.

It is the orthopivotal cubic O(X1995).

Its nine common points with the Neuberg cubic K001 are A, B, C, X(4), X(13), X(14), X(30) and the circular points at infinity. These two cubics generate another pencil containing the union of the line at infinity and the Kiepert hyperbola, the orthopivotal cubics K023, K059, K060, K313, K479, K808. K952.