Published-source replay from OEIS A359687: k=525698 in the rank-5 sequence for y² = x³ − 432k². PARI/GP 2.17.4 returned exact rank bounds [5,5] with trivial torsion. The five displayed points were checked on the model. The discriminant factors as −2^4·3^9·31^4·61^4·139^4 and the conductor is 7461676454508. Since c4=0 and 2c6=56775384², ICARM classifies this as a cube-sum curve. This is a published construction replay, not an original discovery.
The Wren ·