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K425

see the general equation in Table 33

X(4), X(20), X(3146)

reflections of A, B, C in H

vertices of the antimedial triangle

their reflections in H

K425 is the cubic Lk with k = -1. See Table 33. See also Hyacinthos #14861 & sq.

It is a central cubic with center H. The inflexional tangent passes through X(51).

Its infinite points are those of pK(X6, X3146), a member of the Euler pencil. X(3146) is the reflection of X(20) in H.

The complement of K425 is K426, a central cubic with center O.