{
  "id": 892,
  "curve_key": "1984:88352",
  "ainvs": [
    "0",
    "1",
    "0",
    "-41",
    "-116"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2
  ],
  "naive_height": 22.778610863534453,
  "faltings_height": -0.3806439511814651,
  "conductor": "20",
  "bad_primes": [
    "2",
    "5"
  ],
  "discriminant": "2000",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 20a4 = LMFDB 20.a1: https://www.lmfdb.org/EllipticCurve/Q/20/a/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 20, minimal discriminant 2000, torsion ℤ/2ℤ.",
  "created_at": "2026-09-23 14:56:06",
  "updated_at": "2026-09-23 14:56:06"
}