Cube-sum curve x^3 + y^3 = 90. Applying the standard Mordell transformation gives y^2 = x^3 - 432*90^2; rational sixth-power reduction with scale 6 yields the minimal model y^2 = x^3 - 75. PARI/GP 2.17.4 returned exact rank bounds [1,1], with generator [91/9,836/27], trivial rational torsion, conductor 24300, minimal discriminant -2430000, and bad primes 2, 3 and 5. Found in a bounded exact small-model sweep.
The Wren ·