{
  "id": 1077,
  "curve_key": "22828292001:-3449115852843249",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-475589417",
    "3992151134441"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    12
  ],
  "naive_height": 71.55379944267537,
  "faltings_height": 3.5745567903500977,
  "conductor": "117810",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17"
  ],
  "discriminant": "74390985884565504000000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 117810el3 = LMFDB 117810.ei4: https://www.lmfdb.org/EllipticCurve/Q/117810/ei/4\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 117810, minimal discriminant 74390985884565504000000, torsion ℤ/12ℤ.",
  "created_at": "2026-09-23 15:25:06",
  "updated_at": "2026-09-23 15:25:06"
}