{
  "id": 989,
  "curve_key": "-479:42319",
  "ainvs": [
    "1",
    "1",
    "1",
    "10",
    "-45"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    5
  ],
  "naive_height": 21.305982873526794,
  "faltings_height": -0.1596433754542287,
  "conductor": "110",
  "bad_primes": [
    "2",
    "5",
    "11"
  ],
  "discriminant": "-1100000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 110a1 = LMFDB 110.b2: https://www.lmfdb.org/EllipticCurve/Q/110/b/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 110, minimal discriminant -1100000, torsion ℤ/5ℤ.",
  "created_at": "2026-09-23 15:11:09",
  "updated_at": "2026-09-23 15:11:09"
}