{
  "id": 1935,
  "curve_key": "905653668510491632794832328240651424396268216201:-861872880117966819323403141639960994151326238060134769463471961697739301",
  "ainvs": [
    "1",
    "0",
    "1",
    "-18867784760635242349892340171680238008255587838",
    "997538055692091226068752063841965542145691025244956491303628897332656"
  ],
  "rank_lower_bound": 14,
  "torsion": [
    3
  ],
  "naive_height": 331.2749584600686,
  "faltings_height": 25.09236899152863,
  "conductor": "2895114750987507516743286215077001111187647487851942586990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "43",
    "79",
    "109",
    "173",
    "269",
    "293",
    "379",
    "2383",
    "6091",
    "7360831",
    "20046928591",
    "16094800990381"
  ],
  "discriminant": "21078659907485378792136395196866584375889039426733599046335349048448801719401974401829046431753096010504894966161655609323734375000000",
  "regulator": "621806391865796.377390039517475979926801418387974546681988515823638",
  "points": [
    [
      "12864256042996859681925",
      "27512668636643519258048327414154037"
    ],
    [
      "79318784030712572297850",
      "4651924309564719427822985851537"
    ],
    [
      "79336902537034132657950",
      "14824810026698869991976958468012"
    ],
    [
      "79315263837171944584362",
      "1127922585398596499789708582548"
    ],
    [
      "79507759827058070939525",
      "98883656314865201492304020804037"
    ],
    [
      "79478240571896535857925",
      "84452732814512106743755527804037"
    ],
    [
      "70940904022155789777690",
      "4007291237835963069650624862069172"
    ],
    [
      "63074263073401074937725",
      "7641906126570214399100355852414037"
    ],
    [
      "80622777748625913134925",
      "644590688365435089407297943261037"
    ],
    [
      "79235130495136906316925",
      "33647493872935940195847354654037"
    ],
    [
      "9144028966628125493325",
      "28736301909404056080997883298324037"
    ],
    [
      "-72399779656408399006200",
      "-44542805882853035305521480502944713"
    ],
    [
      "-82480606624979486358075",
      "-44639048587678819021651441428095963"
    ],
    [
      "86685829156539722432925",
      "3655590592921252290248091129138037"
    ]
  ],
  "submitter": "dujella",
  "history": [],
  "commentary": "found by Elkies (2018)",
  "created_at": "2026-09-25 19:29:42",
  "updated_at": "2026-09-25 19:29:42"
}