{
  "id": 2122,
  "curve_key": "1481651504848:-1789432547765429440",
  "ainvs": [
    "0",
    "1",
    "0",
    "-30867739684",
    "2071092196593056"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 84.0725353896764,
  "faltings_height": 4.860564746868348,
  "conductor": "2428381032",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "23",
    "31",
    "97"
  ],
  "discriminant": "29275254698157592852374082808064",
  "regulator": "54.75539704104194838318060822481907502756167071",
  "points": [
    [
      "-35080",
      "55774224"
    ],
    [
      "118568",
      "8834760"
    ],
    [
      "3287534/25",
      "2113798302/125"
    ],
    [
      "18159341/196",
      "7004418597/2744"
    ]
  ],
  "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), here with (u,v) = (121,558), using the same\r\nsmooth-support / Nagao-filter search strategy used for curve#1829.\r\nPARI/GP 2.17.4 gives exact rank 4 and torsion Z/2Z x Z/4Z.\r\nConductor N = 2428381032.",
  "created_at": "2026-09-26 10:02:05",
  "updated_at": "2026-09-26 10:02:05"
}