{
  "id": 1564,
  "curve_key": "392192419033153:-16372710813275470106209",
  "ainvs": [
    "1",
    "0",
    "0",
    "-8170675396524",
    "18949896093734770320"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8
  ],
  "naive_height": 102.29980585392221,
  "faltings_height": 6.571939831062184,
  "conductor": "1242248154",
  "bad_primes": [
    "2",
    "3",
    "7",
    "73",
    "97",
    "4177"
  ],
  "discriminant": "-120220268629393950963858259616436437184768",
  "regulator": "545.09869610623302272634672325423231107851930",
  "points": [
    [
      "-732252439/256",
      "17821556946083/4096"
    ],
    [
      "904389016320/162409",
      "791010233855195580/65450827"
    ],
    [
      "536048016",
      "12410520962556"
    ]
  ],
  "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 01:08:19",
  "updated_at": "2026-09-25 01:08:19"
}