{
  "id": 1025,
  "curve_key": "-34271:71683919",
  "ainvs": [
    "1",
    "0",
    "0",
    "714",
    "-82908"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    7
  ],
  "naive_height": 36.175553997371026,
  "faltings_height": 1.0735925994990598,
  "conductor": "546",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13"
  ],
  "discriminant": "-2997011332224",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 546f1 = LMFDB 546.f2: https://www.lmfdb.org/EllipticCurve/Q/546/f/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 546, minimal discriminant -2997011332224, torsion ℤ/7ℤ.",
  "created_at": "2026-09-23 15:17:33",
  "updated_at": "2026-09-23 15:17:33"
}