{
  "id": 6337,
  "curve_key": "0:6425553252168",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-7436982931"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 58.982607704578975,
  "faltings_height": 2.9728732178398767,
  "conductor": "29747931723",
  "bad_primes": [
    "3",
    "19",
    "1747"
  ],
  "discriminant": "-23893364928499283215683",
  "regulator": "1944.108985130545116991910258539062511775976722",
  "points": [
    [
      "5367",
      "383611"
    ],
    [
      "120783",
      "41976652"
    ],
    [
      "256809/100",
      "97466377/1000"
    ],
    [
      "96501/25",
      "27972374/125"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Published-source replay from OEIS A309964: the third listed parameter k=33193 in the rank-4 sequence for y² = x³ − 432k². The resulting minimal model is [0,0,1,0,−7436982931]. PARI/GP 2.17.4 returned exact rank bounds [4,4] with trivial torsion. The four displayed points were returned on this model. The discriminant factors as −3^9·19^4·1747^4, and the conductor is 29747931723. Since c4=0 and 2c6=3584844², ICARM classifies it as a cube-sum curve. This is a published construction replay, not an original discovery.",
  "created_at": "2026-11-01 02:36:43",
  "updated_at": "2026-11-01 02:36:43"
}