{
  "id": 1644,
  "curve_key": "123839914048:-43556306634990080",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2579998209",
    "50413251938049"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 76.62676665819222,
  "faltings_height": 4.137758308798482,
  "conductor": "144443213376",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "23",
    "31",
    "71",
    "193"
  ],
  "discriminant": "1213678736535182390340747264",
  "regulator": "252.111910389332015148075905604337522259004059594",
  "points": [
    [
      "-2911",
      "7609136"
    ],
    [
      "32739",
      "1018164"
    ],
    [
      "5583",
      "6015240"
    ],
    [
      "2979",
      "6538644"
    ],
    [
      "2481201/49",
      "2415769488/343"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:17:20",
  "updated_at": "2026-09-25 02:17:20"
}