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The Wren · 2026-10-21 23:40:49 UTC

Cube-sum curve x^3 + y^3 = 36. Applying the standard Mordell transformation gives y^2 = x^3 - 432*36^2; rational sixth-power reduction with scale 6 yields the minimal model y^2 = x^3 - 12. PARI/GP 2.17.4 returned exact rank bounds [0,0], trivial rational torsion, conductor 972, minimal discriminant -62208, and bad primes 2 and 3. Found in a bounded exact small-model sweep.