{
  "id": 2732,
  "curve_key": "1155850417:-39245864952169",
  "ainvs": [
    "1",
    "0",
    "0",
    "-24080217",
    "45421448121"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    9
  ],
  "naive_height": 62.604306605295754,
  "faltings_height": 2.99970318865507,
  "conductor": "128226",
  "bad_primes": [
    "2",
    "3",
    "7",
    "43",
    "71"
  ],
  "discriminant": "2295658741816117891584",
  "regulator": "2.128858521445439161318073577066318882480",
  "points": [
    [
      "2730",
      "4179"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 128226ba1 = LMFDB 128226.s3: https://www.lmfdb.org/EllipticCurve/Q/128226/s/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 128226, minimal discriminant 2295658741816117891584, torsion ℤ/9ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:19:50",
  "updated_at": "2026-09-26 20:19:50"
}