{
  "id": 2178,
  "curve_key": "72048549907111060159130124804424801:-19225098092785106971692234986156450669376225963564049",
  "ainvs": [
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    "0",
    "0",
    "-1501011456398147086648544266758850",
    "22251270940723503314374317274872523646621572635332"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8,
    2
  ],
  "naive_height": 240.78794479453205,
  "faltings_height": 17.908360000909564,
  "conductor": "1232601651505117906530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "29",
    "41",
    "43",
    "47",
    "73",
    "173",
    "809",
    "12583"
  ],
  "discriminant": "2545810604635477990891629919901547654018238550440512005821410533307298089135766417299626798267040000",
  "regulator": "20379.425375600879704846808082746061928648501",
  "points": [
    [
      "585150090442017404",
      "446653884639086830911813998"
    ],
    [
      "60858503151041321123234/271441",
      "14802686107078222471948784650679698/141420761"
    ],
    [
      "288266315903991120130014776246/367947788569",
      "154585670444642553138450754364572706622327814/223192345224704003"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": "Found by Rathbun (2003)",
  "created_at": "2026-09-26 16:48:03",
  "updated_at": "2026-09-26 16:48:03"
}