{
  "id": 1067,
  "curve_key": "70526161:-575795922841",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1469295",
    "666308025"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    9
  ],
  "naive_height": 54.21448283089279,
  "faltings_height": 2.429309715335749,
  "conductor": "17670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "19",
    "31"
  ],
  "discriminant": "11141148807000000000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 17670bb1 = LMFDB 17670.z3: https://www.lmfdb.org/EllipticCurve/Q/17670/z/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 17670, minimal discriminant 11141148807000000000, torsion ℤ/9ℤ.",
  "created_at": "2026-09-23 15:23:59",
  "updated_at": "2026-09-23 15:23:59"
}