{
  "id": 6237,
  "curve_key": "-81860278433813158800:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "1705422467371107475",
    "0"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 137.55463663887832,
  "faltings_height": 9.531126798214682,
  "conductor": "12881786207730518544879180215367200",
  "bad_primes": [
    "2",
    "5",
    "17",
    "79",
    "113",
    "157",
    "193",
    "541",
    "1613"
  ],
  "discriminant": "-317450426087829053006996209385295674713586664062899000000",
  "regulator": "9352542155.80446826735655084271416955867714752843254798662598",
  "points": [
    [
      "1949633100",
      "103612926160650"
    ],
    [
      "18172582225/9",
      "2917483464231350/27"
    ],
    [
      "115305305",
      "14077545166550"
    ],
    [
      "1734580745",
      "-90427584885250"
    ],
    [
      "2301821420",
      "126970495778450"
    ],
    [
      "3913921305",
      "-258130565152950"
    ],
    [
      "10261633900/9",
      "-1580536538576450/27"
    ],
    [
      "7720931225",
      "-688065124988150"
    ],
    [
      "168418169",
      "17088044263078"
    ],
    [
      "1200928025",
      "-61482532517450"
    ],
    [
      "2205326080/9",
      "-561575948806000/27"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-31 14:05:54",
  "updated_at": "2026-10-31 14:05:54"
}