{
  "id": 667,
  "curve_key": "3216:-186840",
  "ainvs": [
    "0",
    "0",
    "1",
    "-67",
    "216"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "naive_height": 24.27601582923209,
  "faltings_height": -0.07305797946887758,
  "conductor": "953243",
  "bad_primes": [
    "953243"
  ],
  "discriminant": "-953243",
  "regulator": "3.366212426966199290870250443802940114147690352",
  "points": [
    [
      "4",
      "3"
    ],
    [
      "3",
      "6"
    ],
    [
      "5",
      "2"
    ],
    [
      "6",
      "5"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "LMFDB 953243.a1. Curve data, generators (4, 3), (3, 6), (5, 2), (6, 5) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/953243/a/1",
  "created_at": "2026-09-08 19:18:05",
  "updated_at": "2026-09-08 19:18:05"
}