{
  "id": 3362,
  "curve_key": "5195584:-62346752",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-108241",
    "108241"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 46.389958775945075,
  "faltings_height": 1.9340686260458044,
  "conductor": "142443840",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "41",
    "47"
  ],
  "discriminant": "81160990215782400",
  "regulator": "24.74877520278936502061547961309322887660444835",
  "points": [
    [
      "-245",
      "3444"
    ],
    [
      "-175",
      "3696"
    ],
    [
      "903",
      "25256"
    ],
    [
      "4921",
      "344400"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = 328, b = 658; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 142443840, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-26 21:12:14",
  "updated_at": "2026-09-26 21:12:14"
}