{
  "id": 3727,
  "curve_key": "8976351996497945051352256:-28818404162577787892374111366649077120",
  "ainvs": [
    "0",
    "1",
    "0",
    "-187007333260373855236505",
    "33354634447365659468049911685579819"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "naive_height": 172.50815512851094,
  "faltings_height": 12.328473629046105,
  "conductor": "7883488166641953679773600245415288194780881496974344",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "23",
    "31",
    "103",
    "118600364187985331",
    "283558558699368042216946123"
  ],
  "discriminant": "-62055438307538991562340341397288666250361781175713556607637273526160128",
  "regulator": "11971744969557762.661747125308643884733521789264340619559793845536827272253",
  "points": [
    [
      "593375371951",
      "362371623822366354"
    ],
    [
      "441546366973",
      "192009155864711850"
    ],
    [
      "7305410173",
      "178854295601490390"
    ],
    [
      "-148545672011",
      "-240532706448297858"
    ],
    [
      "165019832731",
      "83597013261896946"
    ],
    [
      "230260815895",
      "50026110682500162"
    ],
    [
      "-173430318875",
      "-246111612202091538"
    ],
    [
      "1151392070659",
      "-1159500151976840478"
    ],
    [
      "143634351229",
      "97248408160813098"
    ],
    [
      "-6442826137109/25",
      "-31729469405732841114/125"
    ],
    [
      "-350122349705",
      "-236453171144593662"
    ],
    [
      "-321816462179",
      "245372129856936054"
    ],
    [
      "110316520165",
      "-118605054578259438"
    ],
    [
      "-503270805389",
      "882828410369346"
    ],
    [
      "262723840531",
      "-48554626701799554"
    ],
    [
      "194074261015",
      "-66114267092330562"
    ],
    [
      "15567438672479581/2209",
      "-1938774586497241502327094/103823"
    ],
    [
      "177427231403380537/262144",
      "-62499778773221364136084845/134217728"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = -8/9 of a rank-17 fibration of X1008 (2-neighbour of the one in curve#751).",
  "created_at": "2026-09-30 20:10:48",
  "updated_at": "2026-09-30 20:10:48"
}