X(2), X(3), X(30), X(370), X(5667)
five mates of X(370), see Table 10
E = X(5667) = X(30)-Ceva conjugate of H, a point on the Neuberg cubic and on the line HX(74)
vertices of the antimedial triangle
K144 and the Neuberg cubic generates another pencil of cubics passing through X(3), X(30), E (see above), X(370) and its five mates.
See table 10 : X(370) related curves.