{
  "id": 4126,
  "curve_key": "716840419147903630017955934696432753145399697921:-606379505803431041534831449535837057335922614054117206223437317696819969",
  "ainvs": [
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    "701828131716934075850493140315617416734603564102554378446514730554497"
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  "rank_lower_bound": 20,
  "torsion": [
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  "naive_height": 330.5735472993696,
  "faltings_height": 25.317220233104674,
  "conductor": "368471581383911304150906411175917477107662947926231328206990677277830533511360110",
  "bad_primes": [
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    "3",
    "5",
    "11",
    "17",
    "23",
    "29",
    "31",
    "41",
    "83",
    "151",
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    "461",
    "509",
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    "5939",
    "19001",
    "174673",
    "1267939",
    "1912969",
    "4462121",
    "710126761"
  ],
  "discriminant": "381739833896265748586517990364062652786485551764992185146916165910693406930207258182469427073555456809800679073539183245124904960000000000",
  "regulator": "494344115321346460035.256128944124266936914560082754047531699647461497248348166",
  "points": [
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      "72283226534917608853077",
      "88526640179794024294144952663541"
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      "68048431385610152293757",
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      "84871859858071334964757",
      "6759337064900707848210614425541621"
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      "16577656219628052279685",
      "21419858910007073375349189628943093"
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      "-65791382565894139416363",
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      "-90149469659334109691243",
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      "107866731036819339427607",
      "18600587496547540213914071588804721"
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    [
      "123742460424234993303507",
      "27360654128139076663200142894141121"
    ],
    [
      "667188122038910098526833/9",
      "39351780061341784117458981887946827/27"
    ],
    [
      "9564303834105631383751717/81",
      "17627910937345403553838921533644443309/729"
    ],
    [
      "-3548592122248311322622507/49",
      "12850113564169039116714815887767078803/343"
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  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "specialization at T = 2407/335 of the rank-9 fibration of X1152 given by:\ny^2 + (304044T^2 - 789584T + 138145)xy = x(x + 529(509T - 342)(7T + 12)(35T + 38)(T + 87))(x + (7147T - 5893)(2005T - 922)(575T - 243)(5T + 17)).",
  "created_at": "2026-10-10 00:55:47",
  "updated_at": "2026-10-10 00:55:47"
}