{
  "id": 907,
  "curve_key": "12960:1475496",
  "ainvs": [
    "0",
    "0",
    "1",
    "-270",
    "-1708"
  ],
  "rank_lower_bound": 0,
  "torsion": [],
  "naive_height": 28.40900952483203,
  "faltings_height": 0.0521479324070992,
  "conductor": "27",
  "bad_primes": [
    "3"
  ],
  "discriminant": "-177147",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 27a2 = LMFDB 27.a1: https://www.lmfdb.org/EllipticCurve/Q/27/a/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 27, minimal discriminant -177147, trivial torsion.",
  "created_at": "2026-09-23 14:58:16",
  "updated_at": "2026-09-23 14:58:16"
}