{
  "id": 4705,
  "curve_key": "0:-1804896",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "2089"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 28.812027060721242,
  "faltings_height": 0.45865816418506555,
  "conductor": "157101156",
  "bad_primes": [
    "2",
    "3",
    "2089"
  ],
  "discriminant": "-1885213872",
  "regulator": "17.56533942659183585179155577222651737140015582",
  "points": [
    [
      "-12",
      "19"
    ],
    [
      "-10",
      "33"
    ],
    [
      "-4",
      "45"
    ],
    [
      "3",
      "46"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Historical rank-4 Mordell curve y^2 = x^3 + 2089, documented by Gebel, Pethő and Zimmer (1998), \"On Mordell's Equation\", and in Tom Womack's Mordell curve table.",
  "created_at": "2026-10-20 21:08:06",
  "updated_at": "2026-10-20 21:08:06"
}