{
  "id": 882,
  "curve_key": "241:-3689",
  "ainvs": [
    "1",
    "1",
    "1",
    "-5",
    "2"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4,
    2
  ],
  "naive_height": 16.454390800471966,
  "faltings_height": -0.7488511623628165,
  "conductor": "15",
  "bad_primes": [
    "3",
    "5"
  ],
  "discriminant": "225",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 15a3 = LMFDB 15.a6: https://www.lmfdb.org/EllipticCurve/Q/15/a/6\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 15, minimal discriminant 225, torsion ℤ/2ℤ × ℤ/4ℤ.",
  "created_at": "2026-09-23 14:55:00",
  "updated_at": "2026-09-23 14:55:00"
}