{
  "id": 4252,
  "curve_key": "17972741086045561388341444441397524488015424:-74497137700858687343593636782637082863843350428299878088524256768",
  "ainvs": [
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    "86223539005623480721627083722362048027214469631541079793514079"
  ],
  "rank_lower_bound": 14,
  "torsion": [
    2,
    2
  ],
  "naive_height": 298.7922903950967,
  "faltings_height": 22.800426055171986,
  "conductor": "1023842306084702920997070010643660906803509879520277722560",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "23",
    "37",
    "41",
    "59",
    "71",
    "103",
    "191",
    "227",
    "241",
    "277",
    "293",
    "373",
    "641",
    "677",
    "683",
    "739",
    "769",
    "4969",
    "9623",
    "27779"
  ],
  "discriminant": "147986640262703374388318698088482713109313749450364614434892561248043811278017683166068965199845885505425316157779210929766400",
  "regulator": "2130328475931343781.17115154909866649823429990558195339203568280904",
  "points": [
    [
      "-192687496455694750590846/361",
      "79402266142690250051058059073337095/6859"
    ],
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      "153020631354564045710271/529",
      "17705364445301438557007005816088160/12167"
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      "6047222321167184471443971716274207603919200"
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      "1140668754500984200779186/2209",
      "573976088209655623468242390334479675/103823"
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      "57887878288688155894145205/187489",
      "18043041512369571061376032535803559964/81182737"
    ],
    [
      "76983547048669764307012650/187489",
      "106040137432526389886178410716468517649/81182737"
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    [
      "110253291541052582422538061/156025",
      "814090693739676309213081270865426635516/61629875"
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    [
      "145887427570399162859843839/136161",
      "1519825352128691209812536671156941125920/50243409"
    ],
    [
      "-448674092990159281813190019/1247689",
      "18403214141564084784594929394755989824300/1393668613"
    ],
    [
      "2556332422902517624359883431/10156969",
      "91144603388609125046687785114600592819040/32370260203"
    ],
    [
      "477667975308496851928599433977/979752601",
      "135626325899059197487009882436514993148423032/30667236163901"
    ],
    [
      "961256712598207972771831726885650/27852605881",
      "29798284414000255951861839752453894029415157337017/4648349248085971"
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  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "specialization at T = 23695/2238 of the rank-5 fibration of X400 given by:\ny^2 = x(x + (121 - 99T)(26T - 23)(75T - 44))(x + (21 - 74T)(25T - 36)(T + 77)T).",
  "created_at": "2026-10-15 18:27:29",
  "updated_at": "2026-10-15 18:27:29"
}