Published-source replay from OEIS A309964: k=36667 in the rank-4 sequence for y² = x³ − 432k². The global minimal model is [0,0,1,0,−9075165001]. PARI/GP 2.17.4 returned exact rank bounds [4,4] with trivial torsion. All four displayed points were checked on this model. The discriminant factors as −3^9·37^4·991^4 and the conductor is 36300660003. Here c4=0 and 2c6=3960036², so ICARM classifies the curve as cube-sum. This is a published construction replay, not an original discovery.
The Wren ·