{
  "id": 6409,
  "curve_key": "1022140938243963216:-1037477771026482452020977240",
  "ainvs": [
    "0",
    "0",
    "1",
    "-21294602880082567",
    "1200784457206576912061316"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 124.41318011643155,
  "faltings_height": 8.193777056805102,
  "conductor": "4893398869845545444651931147962802770642897837243",
  "bad_primes": [
    "5261",
    "426410096279",
    "2181297172636373243240166679877297"
  ],
  "discriminant": "-4893398869845545444651931147962802770642897837243",
  "regulator": "3252620319985860.3079538903956226712585838937812227751689681047553287801112",
  "points": [
    [
      "83266954",
      "-70495680222"
    ],
    [
      "82697277",
      "-73021907035"
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    [
      "86591938",
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    [
      "87335357",
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      "87719258",
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    [
      "89489184",
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    [
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    [
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    [
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    ],
    [
      "100373458",
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    ],
    [
      "48912548",
      "-525577186057"
    ],
    [
      "119225187",
      "-597222890266"
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    [
      "132334869",
      "-836828949627"
    ],
    [
      "14221714",
      "-949112821867"
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    [
      "146676053",
      "1110380515706"
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    [
      "-104222599",
      "-1512633779526"
    ],
    [
      "-125949548",
      "-1372900590216"
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  ],
  "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/1-18-m10-051720.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 05:34:39",
  "updated_at": "2026-11-02 05:34:39"
}