{
  "id": 4106,
  "curve_key": "133375261649150853652237815617022030480179589476373921:-48428423986847013950502886010711733092841870959955275536263910034286615049065969",
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  "rank_lower_bound": 20,
  "torsion": [
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  "naive_height": 366.9750192422157,
  "faltings_height": 28.42302181590013,
  "conductor": "374785364077444172381903170722631268547812541904984566738340877113861929593075923530",
  "bad_primes": [
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    "17",
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    "2591",
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  "discriminant": "15795717957944696937904296088283719793002266325471102177991046678112183222968883342017914736253948595368690651508637229682452221093076510422594551808000000",
  "regulator": "1140581778246779489389.29318331614777649063331955442162451232389726017503409135",
  "points": [
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      "37078050517404814159287941",
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      "126660731138930098212982421673685603004"
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      "16468611574340338744057991",
      "121480143193375664448395566024636681404"
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      "138099215919293107116808391",
      "1518573782592964817764026677734877684604"
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    [
      "-203880596985233577419708881/4",
      "2043706067991933462372627016028114354187/8"
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    [
      "434314721503563996453851968919/2809",
      "271375222058487668113328014166385229848442308/148877"
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  "submitter": "wgxli",
  "history": [],
  "commentary": "specialization at T = 245484/7853 of the rank-9 fibration of X720 given by:\ny^2 + (1260T^2 + 16274T + 6718)xy = x(x + (2431 - 50T)(81T - 416)(98T + 405)T)(x + 8(512T - 4465)(2T - 187)(361T + 1924)).",
  "created_at": "2026-10-09 15:20:30",
  "updated_at": "2026-10-09 15:20:30"
}