{
  "id": 1640,
  "curve_key": "144443481308755255201:-1944252637065146157104467522801",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3009239193932401150",
    "2250292403759815897154322500"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    8
  ],
  "naive_height": 139.48486088950787,
  "faltings_height": 9.599633244104007,
  "conductor": "566645048606910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "37",
    "97",
    "101",
    "30137"
  ],
  "discriminant": "-443553923823946157238923202459179606431455370383900000000",
  "regulator": "2897.894518848233385033795135185355965011404574",
  "points": [
    [
      "-1224848200",
      "64020697468850"
    ],
    [
      "8536665967900/729",
      "24684421829770404550/19683"
    ],
    [
      "69499107879050/96721",
      "644434928020891585600/30080231"
    ],
    [
      "2587305975260/11449",
      "48721924527159605830/1225043"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/8. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:11:19",
  "updated_at": "2026-09-25 02:11:19"
}