{
  "id": 650,
  "curve_key": "201:-2565",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4",
    "4"
  ],
  "rank_lower_bound": 2,
  "torsion": [],
  "naive_height": 15.909914724177227,
  "faltings_height": -0.7003994049903989,
  "conductor": "446",
  "bad_primes": [
    "2",
    "223"
  ],
  "discriminant": "892",
  "regulator": "0.0973430975694570509774957394327049892081729",
  "points": [
    [
      "2",
      "0"
    ],
    [
      "1",
      "0"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 446d1 = LMFDB 446.a1. Curve data, generators (2, 0) and (1, 0) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/446/a/1",
  "created_at": "2026-09-08 19:03:33",
  "updated_at": "2026-09-08 19:03:33"
}