{
  "id": 1108,
  "curve_key": "1136930967959159117960075179216:-1210718729726794015858017640250441662262124736",
  "ainvs": [
    "0",
    "1",
    "0",
    "-23686061832482481624168232900",
    "1401294826072670363740983663536729053022048"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    4,
    2
  ],
  "naive_height": 207.61765586565178,
  "faltings_height": 15.084104827767641,
  "conductor": "1128310354841987032068083640",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "23",
    "31",
    "41",
    "53",
    "61",
    "67",
    "109",
    "257",
    "263",
    "6857"
  ],
  "discriminant": "2182175518546620945117279927399307078679595556284484896613785027751885820974457760000",
  "regulator": "912335.584507936191421784852538543914410702833195120002",
  "points": [
    [
      "-19578753643834",
      "1362913540526632116750"
    ],
    [
      "7039133112536",
      "1111266965543810963160"
    ],
    [
      "76748038982126",
      "188419870198587400230"
    ],
    [
      "-32194246291774",
      "1459616860760570800470"
    ],
    [
      "85367453744006",
      "37417621531734692430"
    ],
    [
      "85225678008086",
      "40788683120841618690"
    ],
    [
      "71598493464386",
      "269159820951235640790"
    ],
    [
      "94712810727878",
      "86857168689634948878"
    ]
  ],
  "submitter": "dujella",
  "history": [],
  "commentary": "found by Eroshkin (2008)",
  "created_at": "2026-09-23 20:10:28",
  "updated_at": "2026-09-23 20:10:28"
}