{
  "id": 995,
  "curve_key": "-143:-1673",
  "ainvs": [
    "1",
    "1",
    "1",
    "3",
    "3"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4
  ],
  "naive_height": 14.888533890779723,
  "faltings_height": -0.6381329271827555,
  "conductor": "138",
  "bad_primes": [
    "2",
    "3",
    "23"
  ],
  "discriminant": "-3312",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 138c1 = LMFDB 138.c4: https://www.lmfdb.org/EllipticCurve/Q/138/c/4\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 138, minimal discriminant -3312, torsion ℤ/4ℤ.",
  "created_at": "2026-09-23 15:12:12",
  "updated_at": "2026-09-23 15:12:12"
}