{
  "id": 1468,
  "curve_key": "-6525919007:-110677142067409",
  "ainvs": [
    "1",
    "0",
    "0",
    "135956646",
    "128109873780"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    8
  ],
  "naive_height": 67.79714287266678,
  "faltings_height": 3.7213747057246747,
  "conductor": "1805874",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "31",
    "73"
  ],
  "discriminant": "-167924063267784813159022608",
  "regulator": "31.9314083152302374827778544902573247844865",
  "points": [
    [
      "-101514/121",
      "154963158/1331"
    ],
    [
      "316596",
      "-178418142"
    ]
  ],
  "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 00:12:19",
  "updated_at": "2026-09-25 00:12:19"
}