This curve was found prospectively as the specialization t = -1867/270 of an elliptic K3 family with generic Mordell–Weil rank 16.
We found 27 independent rational points on the specialized curve, proving rank at least 27 over Q; the exact rank is not currently known. The submitted equation is a globally minimal integral Weierstrass model. In this presentation, the specialization has 11 independent directions beyond the 16 generic sections.
Roy van Rijn ·