X(72404) = X(2)X(10748)∩X(4)X(31961)
Barycentrics 28 a^10-80 a^8 b^2-20 a^6 b^4+88 a^4 b^6-8 a^2 b^8-8 b^10-80 a^8 c^2+217 a^6 b^2 c^2-54 a^4 b^4 c^2-89 a^2 b^6 c^2+46 b^8 c^2-20 a^6 c^4-54 a^4 b^2 c^4+162 a^2 b^4 c^4-38 b^6 c^4+88 a^4 c^6-89 a^2 b^2 c^6-38 b^4 c^6-8 a^2 c^8+46 b^2 c^8-8 c^10 : :Gabriela Cucoanes and Francisco Javier García Capitán, euclid 9469.
X(72404) lies on these lines: {2, 10748}, {4, 31961}, {376, 31729}, {3524, 12505}, {3545, 12506}, {3839, 31840}, {3849, 9741}, {5071, 14866}, {6031, 8703}, {6032, 41099}, {9829, 15698}, {10162, 61932}, {10163, 61822}, {10173, 61904}, {14682, 61128}, {15692, 31744}, {15702, 31762}, {15709, 31606}, {19708, 47074}, {31749, 61980}, {31824, 61985}, {32156, 61936}