{
  "id": 4704,
  "curve_key": "0:150336",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-174"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 23.84125613603717,
  "faltings_height": 0.04442725379472612,
  "conductor": "13079232",
  "bad_primes": [
    "2",
    "3",
    "29"
  ],
  "discriminant": "-13079232",
  "regulator": "46.105698573234592609330665386680381254988284",
  "points": [
    [
      "7",
      "13"
    ],
    [
      "799",
      "22585"
    ],
    [
      "5215",
      "376601"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Historical rank-3 Mordell curve y^2 = x^3 - 174, documented by Gebel, Pethő and Zimmer (1998), \"On Mordell's Equation\", and in Tom Womack's Mordell curve table.\r\n",
  "created_at": "2026-10-20 21:07:33",
  "updated_at": "2026-10-20 21:07:33"
}