{
  "id": 916,
  "curve_key": "528:-12096",
  "ainvs": [
    "0",
    "0",
    "0",
    "-11",
    "14"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4
  ],
  "naive_height": 18.807288851118784,
  "faltings_height": -0.6173857453515642,
  "conductor": "32",
  "bad_primes": [
    "2"
  ],
  "discriminant": "512",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 32a4 = LMFDB 32.a2: https://www.lmfdb.org/EllipticCurve/Q/32/a/2\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 32, minimal discriminant 512, torsion ℤ/4ℤ.",
  "created_at": "2026-09-23 15:00:23",
  "updated_at": "2026-09-23 15:00:23"
}