{
  "id": 1275,
  "curve_key": "23229081:-91198625085",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-483939",
    "105674949"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 50.882746629154276,
  "faltings_height": 2.24508295798314,
  "conductor": "672899094",
  "bad_primes": [
    "2",
    "3",
    "7",
    "37",
    "47",
    "83"
  ],
  "discriminant": "2440390822081590672",
  "regulator": "30.1965806036469267072453888660481211119369415346",
  "points": [
    [
      "978",
      "23325"
    ],
    [
      "243",
      "-1665"
    ],
    [
      "537",
      "393"
    ],
    [
      "-345",
      "15387"
    ],
    [
      "222",
      "2913"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:19:03",
  "updated_at": "2026-09-24 17:19:03"
}