{
  "id": 3281,
  "curve_key": "7488:-635904",
  "ainvs": [
    "0",
    "0",
    "0",
    "-156",
    "736"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4
  ],
  "naive_height": 26.763171054472284,
  "faltings_height": 0.1230857738308887,
  "conductor": "288",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "8957952",
  "regulator": "0.6201696728496703763000034731367110194813",
  "points": [
    [
      "5",
      "9"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 288b3 = LMFDB 288.b2: https://www.lmfdb.org/EllipticCurve/Q/288/b/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 288, minimal discriminant 8957952, torsion ℤ/4ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:50:56",
  "updated_at": "2026-09-26 20:50:56"
}