Found by an exhaustive discriminant sweep of the integral Tate X_1(3) family y^2 + a*x*y + b*y = x^3, for which Delta = b^3*(a^3 - 27*b), below the previous rank-3 discriminant threshold. Parameters a=244, b=-1 give Delta=-14526811. PARI/GP 2.17.4 gives rank bounds [3,3] and torsion invariants [3]; the three supplied rational points lie on the global minimal model and are independent.
jesper-petersen ·