{
  "id": 2899,
  "curve_key": "96:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-2",
    "0"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 13.693044574403508,
  "faltings_height": -0.7906725404915506,
  "conductor": "256",
  "bad_primes": [
    "2"
  ],
  "discriminant": "512",
  "regulator": "0.6087090319769813608971904195940853453581",
  "points": [
    [
      "2",
      "2"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 256b1 = LMFDB 256.b1: https://www.lmfdb.org/EllipticCurve/Q/256/b/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 256, minimal discriminant 512, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:27:30",
  "updated_at": "2026-09-26 20:27:30"
}