{
  "id": 4055,
  "curve_key": "1008106825586213084746236542046601:-30361256549009429573199483750094191362760866244901",
  "ainvs": [
    "1",
    "0",
    "1",
    "-21002225533046105932213261292638",
    "35140343228020171366943571030989078985423672656"
  ],
  "rank_lower_bound": 12,
  "torsion": [
    2,
    2
  ],
  "naive_height": 227.98014663180462,
  "faltings_height": 16.939216949608273,
  "conductor": "10749697643744007055089717979911548123312910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "23",
    "29",
    "43",
    "47",
    "53",
    "73",
    "79",
    "89",
    "113",
    "163",
    "227",
    "569",
    "587",
    "757",
    "2333",
    "6793",
    "11903"
  ],
  "discriminant": "59439972322187309483206972238392985231333975195352293396898133618080565367443245026071681440000",
  "regulator": "42933171254.339936136123398938360310058427707909844303716471782",
  "points": [
    [
      "-808929780620795",
      "-227157063434187440731843"
    ],
    [
      "737980974464206",
      "141573360647817416786924"
    ],
    [
      "-1135333847510123",
      "-239836307738777667645667"
    ],
    [
      "3498773623893685",
      "66994452932796733694477"
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    [
      "1878611902002490",
      "48117323975737758792212"
    ],
    [
      "1401750928742917",
      "91949781375739571919293"
    ],
    [
      "2105959443467872",
      "15829573353101442197264"
    ],
    [
      "102455952419125",
      "181630437131000653749437"
    ],
    [
      "-289617189381320",
      "-202974520949183686919488"
    ],
    [
      "5406565374325525",
      "282186948436095755380637"
    ],
    [
      "20800779364908475/4",
      "2063759414317351376714971/8"
    ],
    [
      "614339639695930117",
      "481504950430008888608324093"
    ]
  ],
  "submitter": "dujella",
  "history": [],
  "commentary": "induced by the rational Diophantine triple {723557861871/729372213346, -507212474925/729372213346, 12638391281568/9117152666825}",
  "created_at": "2026-10-08 12:35:05",
  "updated_at": "2026-10-08 12:35:05"
}