{
  "id": 2987,
  "curve_key": "208:-28864",
  "ainvs": [
    "0",
    "1",
    "0",
    "-4",
    "32"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4
  ],
  "naive_height": 20.5407008457247,
  "faltings_height": -0.2304887518829264,
  "conductor": "552",
  "bad_primes": [
    "2",
    "3",
    "23"
  ],
  "discriminant": "-476928",
  "regulator": "0.8270783900387450210415778111445865896499",
  "points": [
    [
      "-2",
      "6"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 552e1 = LMFDB 552.e4: https://www.lmfdb.org/EllipticCurve/Q/552/e/4\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 552, minimal discriminant -476928, torsion ℤ/4ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:32:03",
  "updated_at": "2026-09-26 20:32:03"
}