{
  "id": 1336,
  "curve_key": "97702200720241:-965694294125840397961",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2035462515005",
    "1117701559690439025"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 96.6388356000226,
  "faltings_height": 5.720092108527497,
  "conductor": "18666601961882610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "23",
    "29",
    "31",
    "14407",
    "2088733"
  ],
  "discriminant": "41889034181806847365854852072000000",
  "regulator": "3665.022022981220090902005170626073440743818928736394",
  "points": [
    [
      "-1568090",
      "-672791705"
    ],
    [
      "611086",
      "319154107"
    ],
    [
      "1479520",
      "-1160409305"
    ],
    [
      "819190",
      "-3030905"
    ],
    [
      "58810",
      "-999128705"
    ],
    [
      "817810",
      "6090895"
    ],
    [
      "10955965/16",
      "13552641955/64"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:34:21",
  "updated_at": "2026-09-24 17:34:21"
}