{
  "id": 4703,
  "curve_key": "0:-97632",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "113"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 22.977921175032794,
  "faltings_height": -0.027517326288971963,
  "conductor": "1379052",
  "bad_primes": [
    "2",
    "3",
    "113"
  ],
  "discriminant": "-5516208",
  "regulator": "4.8869090595792227617397871254573393831665086",
  "points": [
    [
      "-4",
      "7"
    ],
    [
      "2",
      "11"
    ],
    [
      "8",
      "25"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Historical rank-3 Mordell curve y^2 = x^3 + 113, documented by Gebel, Pethő and Zimmer (1998), \"On Mordell's Equation\", Compositio Mathematica 110, 335–367, and in Tom Womack's Mordell curve table.",
  "created_at": "2026-10-20 21:06:49",
  "updated_at": "2026-10-20 21:06:49"
}