{
  "id": 942,
  "curve_key": "145:-2105",
  "ainvs": [
    "1",
    "1",
    "1",
    "-3",
    "1"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    5
  ],
  "naive_height": 15.304141492232963,
  "faltings_height": -0.7260995961438815,
  "conductor": "50",
  "bad_primes": [
    "2",
    "5"
  ],
  "discriminant": "-800",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 50b1 = LMFDB 50.b3: https://www.lmfdb.org/EllipticCurve/Q/50/b/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 50, minimal discriminant -800, torsion ℤ/5ℤ.",
  "created_at": "2026-09-23 15:03:38",
  "updated_at": "2026-09-23 15:03:38"
}