Published-source replay of OEIS A309964 at k = 78604 (Seiichi Manyama and Maksym Voznyy), not an original discovery. Starting from y^2 = x^3 - 432*k^2, I obtained the minimal model [0,0,0,0,-41705474508]. PARI/GP 2.17.4 returned rank bounds [4,4] and four rational points; all four were transported and checked exactly on this model. The minimal discriminant is -751397732900973147771648 = -2^8*3^9*43^4*457^4, the conductor is 13901824836, and torsion is trivial.
The Wren ·