{
  "id": 3299,
  "curve_key": "2337793:-3574448801",
  "ainvs": [
    "1",
    "1",
    "1",
    "-48704",
    "4116800"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 43.994153639649625,
  "faltings_height": 1.0579449975035828,
  "conductor": "59943",
  "bad_primes": [
    "3",
    "13",
    "29",
    "53"
  ],
  "discriminant": "2337777",
  "regulator": "12.7465379676428973935932554309061460735878",
  "points": [
    [
      "102",
      "421"
    ],
    [
      "27",
      "1666"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 59943h1 = LMFDB 59943.c3: https://www.lmfdb.org/EllipticCurve/Q/59943/c/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 59943, minimal discriminant 2337777, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:53:52",
  "updated_at": "2026-09-26 20:53:52"
}