{
  "id": 929,
  "curve_key": "745:-20341",
  "ainvs": [
    "1",
    "0",
    "1",
    "-16",
    "22"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    3
  ],
  "naive_height": 19.840787665204974,
  "faltings_height": -0.6134426777108661,
  "conductor": "38",
  "bad_primes": [
    "2",
    "19"
  ],
  "discriminant": "-152",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 38a3 = LMFDB 38.a2: https://www.lmfdb.org/EllipticCurve/Q/38/a/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 38, minimal discriminant -152, torsion ℤ/3ℤ.",
  "created_at": "2026-09-23 15:02:30",
  "updated_at": "2026-09-23 15:02:30"
}