{
  "id": 1706,
  "curve_key": "16152447382801:-67726710528333132025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-336509320475",
    "78387368402386641"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 91.32402463703123,
  "faltings_height": 5.540183714131239,
  "conductor": "13977659094",
  "bad_primes": [
    "2",
    "3",
    "7",
    "47",
    "7080881"
  ],
  "discriminant": "-215687879787042046738560291562487808",
  "regulator": "104.8889767658643849958160555904724554405854319",
  "points": [
    [
      "-477986",
      "360833521"
    ],
    [
      "93926590",
      "910232137009"
    ],
    [
      "2791366/9",
      "1671816595/27"
    ],
    [
      "39450784/169",
      "245909257021/2197"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:13:18",
  "updated_at": "2026-09-25 06:13:18"
}