{
  "id": 661,
  "curve_key": "1081:-38125",
  "ainvs": [
    "1",
    "0",
    "1",
    "-23",
    "42"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "naive_height": 21.097251027819425,
  "faltings_height": -0.2884007171314519,
  "conductor": "13766",
  "bad_primes": [
    "2",
    "6883"
  ],
  "discriminant": "-110128",
  "regulator": "0.55430295368319518143351210453405619056042241",
  "points": [
    [
      "3",
      "0"
    ],
    [
      "-1",
      "8"
    ],
    [
      "2",
      "1"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 13766a1 = LMFDB 13766.a1. Curve data, generators (3, 0), (-1, 8), (2, 1) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/13766/a/1",
  "created_at": "2026-09-08 19:17:27",
  "updated_at": "2026-09-08 19:17:27"
}