{
  "id": 3542,
  "curve_key": "50240747981992736718066384:-358353240764198408372019400633267215552",
  "ainvs": [
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    "0",
    "-1046682249624848681626383",
    "414760695328933343023170602584800018"
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  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 177.5491651075143,
  "faltings_height": 12.640847354398563,
  "conductor": "4858973778553085764197571571656035582930144528587190763320",
  "bad_primes": [
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    "3",
    "5",
    "13",
    "17",
    "31",
    "43",
    "173",
    "450257",
    "588183794861598519206262487911904153965919"
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  "discriminant": "-927504287603275413213017956819491381103276817881526674818197850705811200",
  "regulator": "2539135793769485108.053735397754625813935954542740100252615283034500988322989",
  "points": [
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      "97704515096446680"
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    [
      "628939591989",
      "72438142824039330"
    ],
    [
      "4096204133071/9",
      "4879440724690328680/27"
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      "252144369316822320"
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      "141501908640044160"
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      "80500331512102456"
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    [
      "605524197441",
      "54685447143095106"
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    [
      "3268214118501",
      "-5648230210847400306"
    ],
    [
      "1281892911587541/2209",
      "5479783539588055534590/103823"
    ],
    [
      "39358931651721/64",
      "-30966556035896805285/512"
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    [
      "9418613718203531089/11015761",
      "-13916760035849507514201233230/36561310759"
    ],
    [
      "17999517621746874/212521",
      "56000270600522660888408790/97972181"
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  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = 2/13 of the rank-17 fibration of X1008 (equations as in curve#751).",
  "created_at": "2026-09-28 00:32:42",
  "updated_at": "2026-09-28 00:32:42"
}