{
  "id": 2777,
  "curve_key": "921349226341789624571069150381482286960545:-884374899574896423338139226882203262056602659902437737880439025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-19194775548787283845230607299614214311678",
    "1023582059693167156639765281299410390763594972426927678761572"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
  ],
  "naive_height": 289.8799733185429,
  "faltings_height": 21.62886791588121,
  "conductor": "270662653535270356603978350",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "29",
    "31",
    "47",
    "61",
    "71",
    "157",
    "241",
    "307",
    "580219"
  ],
  "discriminant": "11181401929509633936947765095679652758547639621025404231848103157095092405298809752569733206526305698204222883276000",
  "regulator": "1593418.583743987440421618622392313023464379589",
  "points": [
    [
      "-72916487552680553369672/529",
      "-12470497160653492460311828196091562/12167"
    ],
    [
      "3800850833657108380680857998/413449",
      "234299952032482293627366132672200635358548/265847707"
    ],
    [
      "1038663796752458552287654/9025",
      "499085422584595640129514287454205868/857375"
    ],
    [
      "9299986225503696073397435648430959777336325444966169329232/118582088494247866469775586700363663089",
      "31154049781500818599931128211014876857065379953409468100300331357090737532995533586570/1291304434505042263235924994206689677621210701220944773687"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Fisher (2016). Source: https://dujella.github.io/tors/z10.html (curve entry 8). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:21:56",
  "updated_at": "2026-09-26 20:21:56"
}