{
  "id": 1085,
  "curve_key": "2109978817679326771625616:-3028285166909853590450712345268806336",
  "ainvs": [
    "0",
    "0",
    "0",
    "-43957892034985974408867",
    "3504959683923441655614250399616674"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2,
    2
  ],
  "naive_height": 168.02616042084043,
  "faltings_height": 11.875149249493122,
  "conductor": "81988082219777126188462072560",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "31",
    "41",
    "89",
    "107",
    "109",
    "127",
    "131",
    "137",
    "163",
    "337",
    "1279"
  ],
  "discriminant": "129130227595112861668085662911581546138422360781345097730457856000000",
  "regulator": "34793650.04158184820278489363428946905380955456789325350620",
  "points": [
    [
      "107768287313",
      "4394796747081840"
    ],
    [
      "94555380033",
      "13924714157729600"
    ],
    [
      "31812992183",
      "46246345487877150"
    ],
    [
      "41570646023",
      "41826316133193570"
    ],
    [
      "-11735013087",
      "63397082640559360"
    ],
    [
      "-116884679742",
      "83940943569093050"
    ],
    [
      "109609638033",
      "1905554145664400"
    ],
    [
      "-90570410497",
      "82117568157173010"
    ],
    [
      "136668620753",
      "7073495137391760"
    ],
    [
      "134998901009",
      "5568436197379440"
    ]
  ],
  "submitter": "dujella",
  "history": [],
  "commentary": "Dujella - Peral (2023), induced by the rational Diophantine triple {-18265737/79309750, 63575946/991371875, -310970944/991371875}",
  "created_at": "2026-09-23 17:45:49",
  "updated_at": "2026-09-23 17:45:49"
}