{
  "id": 1645,
  "curve_key": "297118520208:-161586433365310656",
  "ainvs": [
    "0",
    "0",
    "0",
    "-6189969171",
    "187021334913554"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 79.25219086225819,
  "faltings_height": 4.4087372485386975,
  "conductor": "213471260496",
  "bad_primes": [
    "2",
    "3",
    "13",
    "23",
    "53",
    "139",
    "673"
  ],
  "discriminant": "69024141746336714063452065792",
  "regulator": "706.834095426842623128642489800391977427585663815",
  "points": [
    [
      "-70690",
      "16472612"
    ],
    [
      "8545",
      "11608272"
    ],
    [
      "124466",
      "36671258"
    ],
    [
      "11006401/225",
      "3817048976/3375"
    ],
    [
      "3561241",
      "6718880808"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:19:19",
  "updated_at": "2026-09-25 02:19:19"
}