{
  "id": 1477,
  "curve_key": "123851835288721:-1378331481339200679481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2580246568515",
    "1595290851344268225"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    9
  ],
  "naive_height": 97.35032129806821,
  "faltings_height": 5.586424947787229,
  "conductor": "175511910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "211",
    "233"
  ],
  "discriminant": "-29554652742896710347471000000000",
  "regulator": "26.8135580347950752047614033830414701462105",
  "points": [
    [
      "149625420/169",
      "151949774445/2197"
    ],
    [
      "29551830",
      "-160430712015"
    ]
  ],
  "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 00:21:18",
  "updated_at": "2026-09-25 00:21:18"
}