Constructed using the rational Bruin–Nasserden parametrization of the Burkhardt quartic with parameters (u,v,w)=(13/4,-10/4,4/4) and specialization t=-1151/1178. The model is the rational 3-isogenous partner of the resulting Mordell curve. A three-stage Mestre–Nagao sieve selected the specialization. Ten rational points were reconstructed through the 3-isogeny, transformed onto the minimal Weierstrass model, and checked by exact rational arithmetic. PARI/GP 2.17.4 returned matching computational rank bounds [10,10] for both isogenous curves.
jesper-petersen ·