{
  "id": 963,
  "curve_key": "2161:-73225",
  "ainvs": [
    "1",
    "0",
    "0",
    "-45",
    "81"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    10
  ],
  "naive_height": 23.03497906952066,
  "faltings_height": -0.05686568982050253,
  "conductor": "66",
  "bad_primes": [
    "2",
    "3",
    "11"
  ],
  "discriminant": "2737152",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 66c1 = LMFDB 66.c3: https://www.lmfdb.org/EllipticCurve/Q/66/c/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 66, minimal discriminant 2737152, torsion ℤ/10ℤ.",
  "created_at": "2026-09-23 15:06:50",
  "updated_at": "2026-09-23 15:06:50"
}