{
  "id": 663,
  "curve_key": "481:-8945",
  "ainvs": [
    "1",
    "1",
    "1",
    "-10",
    "6"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "naive_height": 18.527601810317282,
  "faltings_height": -0.46111878210276863,
  "conductor": "18097",
  "bad_primes": [
    "18097"
  ],
  "discriminant": "18097",
  "regulator": "1.1075578754610291734579984750859975728205268",
  "points": [
    [
      "2",
      "-1"
    ],
    [
      "0",
      "2"
    ],
    [
      "3",
      "2"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 18097b1 = LMFDB 18097.a1. Curve data, generators (2, -1), (0, 2), (3, 2) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/18097/a/1",
  "created_at": "2026-09-08 19:17:39",
  "updated_at": "2026-09-08 19:17:39"
}