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X(3), X(4), X(1075), X(5878), X(32534)

points on (O) and K006

points on (O) and (K2) = nK0(X6, X25), the antipodes of the points on (O) and (K3) = pK(X6, X64)

infinite points of K1190

anti-points, see Table 77

further details below

Geometric properties :

K1250 is an example of non-circular, non-equilateral cubic passing through the anti-points, see Table 77. It is analogous to K727 and K1249. See the related K1252.

K1250 meets (O) at two triples of points, namely :

• O1, O2, O3, these points on K006.

• the points Q1, Q2, Q3 on (K2) = nK0(X6, X25). The antipodes R1, R2, R3 of Q1, Q2, Q3 on (O) lie on (K3) = pK(X6, X64).

K1250 meets the line at infinty at three points on K1190 and the two cubics meet again on the circle with center X(39201) passing through X(15), X(16).