{
  "id": 984,
  "curve_key": "112:640",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2",
    "0"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    2,
    2
  ],
  "naive_height": 14.155496613885283,
  "faltings_height": -0.7727939607831388,
  "conductor": "96",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "576",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 96b1 = LMFDB 96.a3: https://www.lmfdb.org/EllipticCurve/Q/96/a/3\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 96, minimal discriminant 576, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-23 15:10:05",
  "updated_at": "2026-09-23 15:10:05"
}