{
  "id": 6333,
  "curve_key": "0:215737992",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-249697"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 38.379150458736945,
  "faltings_height": 1.255918447353041,
  "conductor": "80901747",
  "bad_primes": [
    "3",
    "577"
  ],
  "discriminant": "-26934537726963",
  "regulator": "61.730225564654302813622348536341601678208687",
  "points": [
    [
      "577/4",
      "13267/8"
    ],
    [
      "577/9",
      "3160/27"
    ],
    [
      "921469/12321",
      "560909996/1367631"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: OEIS A060838, index n=5193, which records rank 3 for x^3+y^3=5193. The birational model is y²+y=x³−249697.\r\n\r\nPARI/GP 2.17.4 returned exact rank bounds [3,3] and trivial torsion. The three supplied points pass exact membership. Minimal discriminant −26934537726963 = −3^5·577^4; conductor 80901747.\r\n\r\nThis is a published OEIS source recovery.",
  "created_at": "2026-11-01 02:00:44",
  "updated_at": "2026-11-01 02:00:44"
}