{
  "id": 885,
  "curve_key": "33:12015",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1",
    "-14"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4
  ],
  "naive_height": 18.78782229634114,
  "faltings_height": -0.37663612094134347,
  "conductor": "17",
  "bad_primes": [
    "17"
  ],
  "discriminant": "-83521",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 17a1 = LMFDB 17.a3: https://www.lmfdb.org/EllipticCurve/Q/17/a/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 17, minimal discriminant -83521, torsion ℤ/4ℤ.",
  "created_at": "2026-09-23 14:55:01",
  "updated_at": "2026-09-23 14:55:01"
}