{
  "id": 2152,
  "curve_key": "364912856549912172496:-6970790269723822838187577931456",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-7602351178123170260",
    "8068044296195949048017420100"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 142.0385707493756,
  "faltings_height": 9.440295160999069,
  "conductor": "120256131027065880",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "59",
    "67",
    "79",
    "103",
    "23801"
  ],
  "discriminant": "224115658063169355917848543206408746823162562500000000",
  "regulator": "135936.13955061186704469321947916750324054501184220",
  "points": [
    [
      "-1359591260",
      "126059294962790"
    ],
    [
      "1597078540",
      "310650033890"
    ],
    [
      "14056511590/9",
      "55694540880440/27"
    ],
    [
      "30135686144/25",
      "3200376695822922/125"
    ],
    [
      "7880439253940/5041",
      "702884726606095110/357911"
    ],
    [
      "611313715118920/383161",
      "39927273276886861250/237176659"
    ]
  ],
  "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) = (2278,69125).\r\n\r\nThe search used smooth-support / conductor filtering followed by Nagao scoring\r\nand exact rank computation. PARI/GP 2.17.4 gives exact rank 6 and torsion\r\nZ/2Z x Z/4Z.",
  "created_at": "2026-09-26 12:25:35",
  "updated_at": "2026-09-26 12:25:35"
}