{
  "id": 4181,
  "curve_key": "91114778940750201:-26608669210992736383904845",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1898224561265629",
    "30797071320612548168149"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "naive_height": 117.15268924106778,
  "faltings_height": 7.681518165343265,
  "conductor": "205970750422012026808488925700682406562215822",
  "bad_primes": [
    "2",
    "17",
    "479",
    "12647104901265628564932391360719784266377"
  ],
  "discriminant": "28012022057393635645954493895292807292461351792",
  "regulator": "33243465465211.37852876403281058163139442294914559594734345311625804907",
  "points": [
    [
      "36350161",
      "-99149466760"
    ],
    [
      "395569530",
      "7821359570887"
    ],
    [
      "-50106353",
      "10552827425"
    ],
    [
      "-139021389/4",
      "-1872413938451/8"
    ],
    [
      "-30086182",
      "246336052687"
    ],
    [
      "215254954/25",
      "-15356371257693/125"
    ],
    [
      "45242151",
      "-193726790071"
    ],
    [
      "6522882220924446/189420169",
      "206309699554882634616821/2606989785947"
    ],
    [
      "438057242458/529",
      "-289543435278555879/12167"
    ],
    [
      "2580406653",
      "131058873141160"
    ],
    [
      "1542325921629/10609",
      "-1837495468312953640/1092727"
    ],
    [
      "4443029119/25",
      "-287965422979632/125"
    ],
    [
      "-1596350885/36",
      "-35995359439973/216"
    ],
    [
      "16212494750/529",
      "-456640489174219/12167"
    ],
    [
      "9828632289/121",
      "-854962309806392/1331"
    ],
    [
      "477003681/25",
      "-4882331342536/125"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-11 23:01:43",
  "updated_at": "2026-10-11 23:01:43"
}