{
  "id": 1045,
  "curve_key": "-3026799:6783200199",
  "ainvs": [
    "1",
    "-1",
    "1",
    "63058",
    "-7866691"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    9
  ],
  "naive_height": 45.275429666582504,
  "faltings_height": 1.8763358125093361,
  "conductor": "1890",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7"
  ],
  "discriminant": "-42674688000000000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1890r3 = LMFDB 1890.x3: https://www.lmfdb.org/EllipticCurve/Q/1890/x/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 1890, minimal discriminant -42674688000000000, torsion ℤ/9ℤ.",
  "created_at": "2026-09-23 15:20:46",
  "updated_at": "2026-09-23 15:20:46"
}