{
  "id": 66,
  "curve_key": "13035271910468252150644679736976114920264729121:-1445924176167521752672574624080130182981403350858921203020924149845169",
  "ainvs": [
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  "rank_lower_bound": 26,
  "naive_height": 318.5519642757846,
  "faltings_height": 24.458470810082996,
  "conductor": "440755853609146510472634852930653385420305551113633650634939171542380165741313856027971752379908017654932910",
  "bad_primes": [
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    "3",
    "5",
    "7",
    "11",
    "13",
    "37",
    "61",
    "109",
    "3180882909509",
    "101223837495550397872963",
    "185290954722549979010823774145698082035847060397002762839016907"
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  "discriminant": "71895080707631236566227414257088729466603817414726942045972724673173251962604021806427843161273966232348946866110784725884544768000000",
  "regulator": "64414287721104130201143827656.9267422425825753392963916482410113025800545012498701248313219",
  "points": [
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      "12784040435352607621644",
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    [
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    [
      "19507248497293445799354",
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    [
      "-17316278094075829267956",
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    [
      "33532502811165086659374",
      "-5502006283885945731489116619434562"
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  ],
  "submitter": "David Renshaw",
  "commentary": "Provenance: Andrej Dujella rank-record table \"Rank >= 26\", Elkies (2006). The page lists this curve y^2 + xy = x^3 - 271568164801421919805097494520335727505515190*x + 1673523352045742769296938739782713519216640490554763586630258973092 and the 26 independent points submitted here.",
  "created_at": "2026-05-29 04:46:23",
  "updated_at": "2026-07-01 22:29:38"
}