{
  "id": 3392,
  "curve_key": "21937728:28870940160",
  "ainvs": [
    "0",
    "0",
    "0",
    "-457036",
    "-33415440"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 50.71115535689623,
  "faltings_height": 2.289190166718552,
  "conductor": "84722624",
  "bad_primes": [
    "2",
    "7",
    "281",
    "673"
  ],
  "discriminant": "5627491645677174784",
  "regulator": "138.3325219722489223614431309636076533760549693",
  "points": [
    [
      "-586",
      "5760"
    ],
    [
      "-298",
      "8736"
    ],
    [
      "-186",
      "6720"
    ],
    [
      "822",
      "12096"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found in a Mestre–Nagao-sieved search of the family y^2 = x(x+a)(x+b), at a = -562, b = -1346; converted to the global minimal model. The 4 witness points were found with PARI/GP ellrank. Conductor 84722624, torsion ℤ/2ℤ × ℤ/2ℤ.",
  "created_at": "2026-09-26 21:19:45",
  "updated_at": "2026-09-26 21:19:45"
}