{
  "id": 948,
  "curve_key": "201:-1701",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4",
    "3"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2,
    2
  ],
  "naive_height": 15.909914724177227,
  "faltings_height": -0.6322390702547316,
  "conductor": "55",
  "bad_primes": [
    "5",
    "11"
  ],
  "discriminant": "3025",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 55a1 = LMFDB 55.a3: https://www.lmfdb.org/EllipticCurve/Q/55/a/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 55, minimal discriminant 3025, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-23 15:04:41",
  "updated_at": "2026-09-23 15:04:41"
}