{
  "id": 1034,
  "curve_key": "-5183:-10069921",
  "ainvs": [
    "1",
    "0",
    "0",
    "108",
    "11664"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    9
  ],
  "naive_height": 32.25012683915913,
  "faltings_height": 0.7454982484745611,
  "conductor": "714",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17"
  ],
  "discriminant": "-58763045376",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 714i1 = LMFDB 714.i3: https://www.lmfdb.org/EllipticCurve/Q/714/i/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 714, minimal discriminant -58763045376, torsion ℤ/9ℤ.",
  "created_at": "2026-09-23 15:18:38",
  "updated_at": "2026-09-23 15:18:38"
}