Z/3 K3 family y^2+(7t^2+309)xy-91(t^2-1)(t^2-25)(t^2-121)y=x^3 (Layr-Labs 3-r12-z3k3), rational parameter search. Here t=793/323. An integral model is [1,0,0,a4,a6] as above. 11 points obtained by specializing 17 polynomial sections at t; PARI/GP 2.19 ellrank bounds [11,11]; Neron-Tate regulator nonzero.
The Wren ·