{
  "id": 1410,
  "curve_key": "-104408599960035771839:-9608385492443741625059367615841",
  "ainvs": [
    "1",
    "0",
    "0",
    "2175179165834078580",
    "11120816542361521440971552400"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    12
  ],
  "naive_height": 142.6803779916441,
  "faltings_height": 9.949578214800164,
  "conductor": "766275510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "79"
  ],
  "discriminant": "-54085211910155846341563349859494643917902166728118272000000",
  "regulator": "30.8147060323417138001333413093848858962317",
  "points": [
    [
      "1074726312",
      "121242553573812"
    ],
    [
      "96103202209080/6889",
      "949284700372510758300/571787"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/12. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 23:24:27",
  "updated_at": "2026-09-24 23:24:27"
}