{
  "id": 937,
  "curve_key": "4993:-124865",
  "ainvs": [
    "1",
    "1",
    "1",
    "-104",
    "101"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2,
    2
  ],
  "naive_height": 25.547376631501827,
  "faltings_height": 0.1891011934177205,
  "conductor": "42",
  "bad_primes": [
    "2",
    "3",
    "7"
  ],
  "discriminant": "63011844",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 42a3 = LMFDB 42.a3: https://www.lmfdb.org/EllipticCurve/Q/42/a/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 42, minimal discriminant 63011844, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-23 15:03:35",
  "updated_at": "2026-09-23 15:03:35"
}