{
  "id": 938,
  "curve_key": "64513:-16385921",
  "ainvs": [
    "1",
    "1",
    "1",
    "-1344",
    "18405"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4
  ],
  "naive_height": 33.22386609858873,
  "faltings_height": 0.1891011934177205,
  "conductor": "42",
  "bad_primes": [
    "2",
    "3",
    "7"
  ],
  "discriminant": "252",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 42a4 = LMFDB 42.a1: https://www.lmfdb.org/EllipticCurve/Q/42/a/1\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 42, minimal discriminant 252, torsion ℤ/4ℤ.",
  "created_at": "2026-09-23 15:03:36",
  "updated_at": "2026-09-23 15:03:36"
}