{
  "id": 6407,
  "curve_key": "2834480242102250748502182264561:-4775308684631272074590813485785871892286378441",
  "ainvs": [
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    "-1",
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  ],
  "rank_lower_bound": 11,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 210.35957560514274,
  "faltings_height": 15.28898798731683,
  "conductor": "334235773913133761458112380342418823690",
  "bad_primes": [
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    "11",
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    "29",
    "47",
    "223",
    "227",
    "1621",
    "4337",
    "56614249",
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  "discriminant": "-17691026940636052146602698944688167830367045574862618307314666968551018927144000000000",
  "regulator": "16274844301585.9243819960700268043585847557615577755069837641",
  "points": [
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      "3897598804846073188694136915796713046322579/7942417511080478025699"
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      "28382308778413559056435979037/42508549"
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      "-27081184324621105486458674340171144106541719/9424578243334912435961"
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      "147371255207775621698755704776560403154507523/97429135805837860078963"
    ],
    [
      "1214718229491930549862861177/3583104482281",
      "33551283020448084090782674435432797639069/6782490722450045429"
    ],
    [
      "-2495055794485786695108739508403/68821415652166321",
      "49838882859215360881315850743560197428845444601/18054497383889058750539881"
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      "-1579771274421694955189340381424619065556794119089/1478064829567569520921952491"
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  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), t = 1095/689 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 02:00:30",
  "updated_at": "2026-11-02 02:00:30"
}