{
  "id": 1574,
  "curve_key": "8405715038669215425408097:-24370298263277280372016122409421502481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-175119063305608654696002",
    "28206363730630407175298748363753924"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 172.1728622043347,
  "faltings_height": 11.940950091324442,
  "conductor": "162227661814218",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "19",
    "1249",
    "1138213"
  ],
  "discriminant": "1820141825663780559017275861911340692518528040929754150049517666304",
  "regulator": "1953.8170430412425685131931152627320685473470",
  "points": [
    [
      "243181113252",
      "1315002813469422"
    ],
    [
      "-54928864313400/1681",
      "12688527071145233953722/68921"
    ],
    [
      "322087739009636292/23222761",
      "17968593073631960832408289338/111910485259"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/9. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:18:19",
  "updated_at": "2026-09-25 01:18:19"
}