Specialization of a rank 17 fibration of the known K3 surface of discriminant 1152. Discovered by Noam Elkies, Zev Klagsbrun, and Samuel Li.
Specialization at T = -2868768/362209 of the elliptic fibration of X1152 given by:
y^2 + (Lx+B)y = x(x+D)(x+E),
where
B = pE + qD + pq(L-p-q),
L = 466548T^2 - 828066T + 32416,
p = -478380T^2 - 1076788T + 103008,
q = 82612T^2 - 180205T + 81622,
D = -26666192028T^4 - 91335649060T^3 + 11566653808T^2 + 239872553168T - 53374213248,
E = -47423161625T^4 + 118525002574T^3 - 104259187849T^2 + 76235905664T - 24372268764.
Andrii Prokhorenkov ·
zevklagsbrun ·