{
  "id": 1000,
  "curve_key": "49:-118441",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1",
    "137"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    7
  ],
  "naive_height": 23.36434045054687,
  "faltings_height": 0.004691413859379506,
  "conductor": "174",
  "bad_primes": [
    "2",
    "3",
    "29"
  ],
  "discriminant": "-8118144",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 174b1 = LMFDB 174.e2: https://www.lmfdb.org/EllipticCurve/Q/174/e/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 174, minimal discriminant -8118144, torsion ℤ/7ℤ.",
  "created_at": "2026-09-23 15:13:16",
  "updated_at": "2026-09-23 15:13:16"
}