{
  "id": 880,
  "curve_key": "481:4879",
  "ainvs": [
    "1",
    "1",
    "1",
    "-10",
    "-10"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4,
    2
  ],
  "naive_height": 18.527601810317282,
  "faltings_height": -0.4022775720828438,
  "conductor": "15",
  "bad_primes": [
    "3",
    "5"
  ],
  "discriminant": "50625",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 15a1 = LMFDB 15.a5: https://www.lmfdb.org/EllipticCurve/Q/15/a/5\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 15, minimal discriminant 50625, torsion ℤ/2ℤ × ℤ/4ℤ.",
  "created_at": "2026-09-23 14:54:59",
  "updated_at": "2026-09-23 14:54:59"
}