Specialization at t = 501/565 of the rank-4 Mordell family associated with the Burkhardt quartic, using parameters (a,b,c,d) = (-43/36,-5/12,1/4,7/9).
Found using a sixth-power-residue Mestre–Nagao sieve over rational specializations. PARI/GP 2.17.4 gives exact rank 10 (ellrank bounds [10,10]), with 10 independent rational points.
jesper-petersen ·