{
  "id": 1451,
  "curve_key": "331158051744930205635841:-190569317390103022351037401533759361",
  "ainvs": [
    "1",
    "0",
    "0",
    "-6899126078019379284080",
    "220566339571303570918310192390400"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 162.47064813601526,
  "faltings_height": 10.88275112115008,
  "conductor": "2358523666590",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "67",
    "859",
    "883"
  ],
  "discriminant": "340774348198353458847589718769133123301390625000000000000",
  "regulator": "169.839190829460363775455060018642194494138",
  "points": [
    [
      "-91997075240",
      "8755160138752720"
    ],
    [
      "1536551855184052/32041",
      "976410098038892804/5735339"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 23:55:19",
  "updated_at": "2026-09-24 23:55:19"
}