{
  "id": 2881,
  "curve_key": "4050484765415652725968:-227208984857586515703691342082240",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-84385099279492765124",
    "262973362131816463305769975044"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 149.25937056598463,
  "faltings_height": 10.420691308319538,
  "conductor": "407883563785258865304",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "17",
    "19",
    "29",
    "31",
    "383",
    "1999",
    "76369"
  ],
  "discriminant": "8582210155966085867798931946696261757455247241309002279487744",
  "regulator": "47739.661534024435690336117489393110976533991719468",
  "points": [
    [
      "12885805880",
      "1146827806213782"
    ],
    [
      "7979506940",
      "312565640755122"
    ],
    [
      "604008660",
      "460678184564598"
    ],
    [
      "1473384440",
      "376616759777622"
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    [
      "15209138914",
      "1580409705748016"
    ],
    [
      "20163601480277",
      "90542423098869511770"
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2001). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 70). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:26:40",
  "updated_at": "2026-09-26 20:26:40"
}