{
  "id": 918,
  "curve_key": "7033:-589229",
  "ainvs": [
    "1",
    "1",
    "0",
    "-146",
    "621"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4
  ],
  "naive_height": 26.575105908924055,
  "faltings_height": -0.012632067116688598,
  "conductor": "33",
  "bad_primes": [
    "3",
    "11"
  ],
  "discriminant": "395307",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 33a3 = LMFDB 33.a1: https://www.lmfdb.org/EllipticCurve/Q/33/a/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 33, minimal discriminant 395307, torsion ℤ/4ℤ.",
  "created_at": "2026-09-23 15:00:24",
  "updated_at": "2026-09-23 15:00:24"
}