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K1218

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X(2), X(6), X(13), X(14), X(15), X(16), X(30), X(397), X(398), X(35018), X(42143), X(42146)

X(43100) → X(43111), points mentioned below

Geometric properties :

K1218 is the KHO-cubic obtained when P = X(35018). See K1191 for explanations and also CL075.

Its KHO-equation is : x^2 (2 y + 7 z) - (9 y - 7 z) (2 y - z) (y + z) = 0

K1218 contains the points with KHO-coordinates (±2,3,7), (±3,7,8), (±5,3,-4), (±9,7,20), (±18,-7,13), (±30,7,-1).

K1218 meets the Evans conic at X(13), X(14), X(15), X(16) and two other points (±√51,1,-6) on a line passing through X(6).