{
  "id": 965,
  "curve_key": "592:14408",
  "ainvs": [
    "0",
    "1",
    "1",
    "-12",
    "-21"
  ],
  "rank_lower_bound": 0,
  "torsion": [],
  "naive_height": 19.151077773711584,
  "faltings_height": -0.6752666133472678,
  "conductor": "67",
  "bad_primes": [
    "67"
  ],
  "discriminant": "-67",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 67a1 = LMFDB 67.a1: https://www.lmfdb.org/EllipticCurve/Q/67/a/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 67, minimal discriminant -67, trivial torsion.",
  "created_at": "2026-09-23 15:07:53",
  "updated_at": "2026-09-23 15:07:53"
}