{
  "id": 3189,
  "curve_key": "801:-22545",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-17",
    "30"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 20.05758284120508,
  "faltings_height": -0.4886905736944197,
  "conductor": "99",
  "bad_primes": [
    "3",
    "11"
  ],
  "discriminant": "3267",
  "regulator": "0.1512856922807474995880715174057811938860",
  "points": [
    [
      "0",
      "5"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 99a2 = LMFDB 99.a1: https://www.lmfdb.org/EllipticCurve/Q/99/a/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 99, minimal discriminant 3267, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:41:48",
  "updated_at": "2026-09-26 20:41:48"
}