{
  "id": 6420,
  "curve_key": "547720949291484617766547041:-12923778174257950723862481132124225424145",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-11410853110239262870136397",
    "14958076590579184569599875940861313525"
  ],
  "rank_lower_bound": 22,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 184.71977502144307,
  "faltings_height": 13.249500691769878,
  "conductor": "1146006744764429998113223917296461852988673345797842574116735325482",
  "bad_primes": [
    "2",
    "13",
    "19",
    "83",
    "600033850919",
    "826463538148562116651",
    "56361518107158594265220078789"
  ],
  "discriminant": "-1567547704826318075043522346343012995213105282208213977378156796038189088768",
  "regulator": "212359061722724769691.1614869296190346621347154889664392626748147341723907536571472",
  "points": [
    [
      "-525062923441",
      "-4561220771636967560"
    ],
    [
      "1568462846063",
      "-958705524191296328"
    ],
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    ],
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    ],
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    ],
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    ],
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      "2231185392835",
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    ],
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      "1465705064105",
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    ],
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      "529497337239145772"
    ],
    [
      "3292316324865",
      "-3616145584049368180"
    ],
    [
      "-3203431131889",
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    ],
    [
      "8645466325635",
      "23717150355200797880"
    ],
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      "1767772284411",
      "557321671977943896"
    ],
    [
      "15265393723263",
      "-58293196680118075528"
    ],
    [
      "92734809048543/49",
      "128842137577401044616/343"
    ],
    [
      "23626373097895",
      "113726557413399357760"
    ],
    [
      "-3721504199623",
      "-2425342230137476198"
    ],
    [
      "-150746324413697/81",
      "3976126064069346830456/729"
    ],
    [
      "18568302618727/9",
      "12006541991396809064/27"
    ],
    [
      "-32729855306405/9",
      "78066153741112083308/27"
    ],
    [
      "-91175713171331/25",
      "-354993700131091293988/125"
    ],
    [
      "6525429003391/49",
      "-1257497714459795271800/343"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "From the Layr-Labs elliptic-rank-challenge-public repository (https://github.com/Layr-Labs/elliptic-rank-challenge-public, file submission/board/1-22-m10-103424.ec), where it is recorded as a find of that challenge; not our discovery. Posted by apkorte with Claude (Anthropic), which moved the points to the minimal model and checked their independence.",
  "created_at": "2026-11-02 14:16:29",
  "updated_at": "2026-11-02 14:16:29"
}