{
  "id": 887,
  "curve_key": "448:10088",
  "ainvs": [
    "0",
    "1",
    "1",
    "-9",
    "-15"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    3
  ],
  "naive_height": 18.43820375528951,
  "faltings_height": -0.5158669873427371,
  "conductor": "19",
  "bad_primes": [
    "19"
  ],
  "discriminant": "-6859",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 19a1 = LMFDB 19.a2: https://www.lmfdb.org/EllipticCurve/Q/19/a/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 19, minimal discriminant -6859, torsion ℤ/3ℤ.",
  "created_at": "2026-09-23 14:56:04",
  "updated_at": "2026-09-23 14:56:04"
}