{
  "id": 3484,
  "curve_key": "458097366181402572496:-9800847031425126451597930468544",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-9543695128779220260",
    "11343572956219572510053641092"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 142.7208402759861,
  "faltings_height": 9.634291425122756,
  "conductor": "36629127870174840",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "31",
    "61",
    "433",
    "1153"
  ],
  "discriminant": "44325377496302257936580620114275673108602447562500000000",
  "regulator": "354936.65584004754744812871785952434446904672021624",
  "points": [
    [
      "539615864",
      "79691730186250"
    ],
    [
      "1918157964",
      "9736232779650"
    ],
    [
      "-901848981031/361",
      "960122536333220260/6859"
    ],
    [
      "28121603625474/6241",
      "120595012183693047000/493039"
    ],
    [
      "175491232086164/10201",
      "2289626869595479618750/1030301"
    ],
    [
      "41939467959614584/23126481",
      "59142452740669590256250/111215247129"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Found by a conductor-oriented search in the standard Z/2Z x Z/4Z family\r\ny^2 = x(x+u^2)(x+v^2), with (u,v) = (7625,73346).\r\n\r\nPARI/GP 2.17.4 gives exact rank 6 and torsion Z/2Z x Z/4Z.\r\nConductor N = 36629127870174840.\r\n",
  "created_at": "2026-09-27 09:23:45",
  "updated_at": "2026-09-27 09:23:45"
}