Quartic twist y^2 = x^3 - 6497x, obtained in my own bounded search in the family y^2 = x^3 + Ax with 0 < |A| <= 30000. Integer points were generated using A = (y^2 - x^3)/x for nonzero integer x between -173 and 5000, retaining integral A. This search produced A = -6497. Four independent rational points were recovered and checked exactly on this minimal model, establishing rank at least 4. The rational torsion subgroup is Z/2Z and the conductor is 1350752288.
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