{
  "id": 1033,
  "curve_key": "3371713:-6183469601",
  "ainvs": [
    "1",
    "1",
    "1",
    "-70244",
    "7127525"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    8
  ],
  "naive_height": 45.092794445366486,
  "faltings_height": 1.5394081984830998,
  "conductor": "714",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17"
  ],
  "discriminant": "55468445663232",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 714g1 = LMFDB 714.f5: https://www.lmfdb.org/EllipticCurve/Q/714/f/5\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 714, minimal discriminant 55468445663232, torsion ℤ/8ℤ.",
  "created_at": "2026-09-23 15:18:38",
  "updated_at": "2026-09-23 15:18:38"
}