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X(476), X(523)

We meet this cubic in Special isocubics §3.4.1.

It is an example of central nK with two (not always real) parallel asymptotes (which are perpendicular to the Euler line)

Its pole is X(115), the center of the Kiepert hyperbola, and its root is X(36597) on the lines {2, 249}, {6036, 20304}, {14566, 24975}, {16188, 34365}.