{
  "id": 3256,
  "curve_key": "7552:-663904",
  "ainvs": [
    "0",
    "1",
    "0",
    "-157",
    "716"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 26.811785679385732,
  "faltings_height": 0.10532805020641518,
  "conductor": "5988",
  "bad_primes": [
    "2",
    "3",
    "499"
  ],
  "discriminant": "-5820336",
  "regulator": "0.979996911166885960715488978920846292538714",
  "points": [
    [
      "8",
      "6"
    ],
    [
      "7",
      "3"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 5988b1 = LMFDB 5988.a1: https://www.lmfdb.org/EllipticCurve/Q/5988/a/1\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 5988, minimal discriminant -5820336, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:46:52",
  "updated_at": "2026-09-26 20:46:52"
}