{
  "id": 6404,
  "curve_key": "1194000000025606247393847534475521:-41262334041242052935761499346623571260938614711681",
  "ainvs": [
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  "rank_lower_bound": 11,
  "torsion": [
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  "family": null,
  "families": [],
  "naive_height": 228.4880690777232,
  "faltings_height": 16.738987912332263,
  "conductor": "901664288415764255908633877077197519630",
  "bad_primes": [
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    "41",
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  "discriminant": "-214598623568960377300737684022842098770639306250105321318775394254866287477577032138752000000",
  "regulator": "27235329425830.5486840816467251936513524601916960414731322811",
  "points": [
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      "30333136381321365723/10609",
      "3235163646290284980842635702/1092727"
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      "-1332078886479136421682689250146334522871097345285695514/167684161382848284810804107296111"
    ],
    [
      "48913447896236128867/17161",
      "7970646325066799332735494366/2248091"
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    [
      "5046244705261439075271522843/1794804128209",
      "16087211078998651177716819966384870772502/2404504474973981927"
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      "1779531504550943557426178574460497657887/73616955426907712"
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  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), t = 1959/1499 for y^2 + (7t^2+309) x y - 91 (t^2-1)(t^2-25)(t^2-121) y = x^3 from https://github.com/Layr-Labs/elliptic-rank-challenge-public/blob/main/submission/board/3-r12-z3k3.ec",
  "created_at": "2026-11-02 01:55:21",
  "updated_at": "2026-11-02 01:55:21"
}