{
  "id": 2672,
  "curve_key": "-303:-3321",
  "ainvs": [
    "1",
    "-1",
    "1",
    "6",
    "2"
  ],
  "rank_lower_bound": 3,
  "torsion": [],
  "naive_height": 17.14119841652811,
  "faltings_height": -0.47711763805471447,
  "conductor": "22481",
  "bad_primes": [
    "22481"
  ],
  "discriminant": "-22481",
  "regulator": "2.0213076902871140047205993450570528201056394",
  "points": [
    [
      "0",
      "1"
    ],
    [
      "1",
      "2"
    ],
    [
      "9",
      "22"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 22481a1 = LMFDB 22481.b1: https://www.lmfdb.org/EllipticCurve/Q/22481/b/1\n\nMordell–Weil rank exactly 3 (Cremona's tables). Conductor 22481, minimal discriminant -22481, torsion trivial. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:17:05",
  "updated_at": "2026-09-26 20:17:05"
}