{
  "id": 3298,
  "curve_key": "2062048:-2961066464",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-42959",
    "3441480"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 43.617630664975856,
  "faltings_height": 1.0308657219985526,
  "conductor": "54264",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "19"
  ],
  "discriminant": "2062032",
  "regulator": "18.0930736841915696104581497478936106729208",
  "points": [
    [
      "520",
      "11020"
    ],
    [
      "241",
      "2651"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 54264h1 = LMFDB 54264.b4: https://www.lmfdb.org/EllipticCurve/Q/54264/b/4\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 54264, minimal discriminant 2062032, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:53:42",
  "updated_at": "2026-09-26 20:53:42"
}