{
  "id": 1332,
  "curve_key": "225082816:-5870406730240",
  "ainvs": [
    "0",
    "1",
    "0",
    "-4689225",
    "6792889159"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "naive_height": 58.8018900740344,
  "faltings_height": 2.9394924914599465,
  "conductor": "49159219350656",
  "bad_primes": [
    "2",
    "23",
    "31",
    "41",
    "47",
    "71",
    "127"
  ],
  "discriminant": "-13344020757175024672768",
  "regulator": "2176.928408997516646656741273833489348309718435246452",
  "points": [
    [
      "1715",
      "61628"
    ],
    [
      "3135",
      "-151372"
    ],
    [
      "-145",
      "-86428"
    ],
    [
      "23066/25",
      "-7129039/125"
    ],
    [
      "351",
      "72044"
    ],
    [
      "75231/49",
      "19448036/343"
    ],
    [
      "863",
      "-58220"
    ]
  ],
  "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 17:33:40",
  "updated_at": "2026-09-24 17:33:40"
}