{
  "id": 924,
  "curve_key": "0:-864",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "1"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    6
  ],
  "naive_height": 13.52314553760811,
  "faltings_height": -0.815415296074362,
  "conductor": "36",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "-432",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 36a1 = LMFDB 36.a4: https://www.lmfdb.org/EllipticCurve/Q/36/a/4\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 36, minimal discriminant -432, torsion ℤ/6ℤ.",
  "created_at": "2026-09-23 15:01:28",
  "updated_at": "2026-09-23 15:01:28"
}