{
  "id": 2839,
  "curve_key": "583269590453605025479618630276561:-14086529139926228732233050038359958494426415836441",
  "ainvs": [
    "1",
    "0",
    "0",
    "-12151449801116771364158721464095",
    "16303853171210911871908176340222708651618600025"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    7
  ],
  "naive_height": 226.3386068657758,
  "faltings_height": 16.32656381546253,
  "conductor": "18508351164730219223970",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "23",
    "107",
    "109",
    "113",
    "15548563603"
  ],
  "discriminant": "1975840297828412229004318741356701020847837779563155990558007000009981925572656250000000",
  "regulator": "115617.969666636233433173746987187745284314625023",
  "points": [
    [
      "2012780061897290",
      "9918904791182773505"
    ],
    [
      "295193067596090",
      "112882913713614812821205"
    ],
    [
      "2797902037885640",
      "64868942660403853981205"
    ],
    [
      "2005584289115840",
      "543238680070107868955"
    ],
    [
      "521254825746693017/256",
      "7516252265355007774821851/4096"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Eroshkin (2009). Source: https://dujella.github.io/tors/z7old5.html (curve entry 12). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:24:45",
  "updated_at": "2026-09-26 20:24:45"
}