{
  "id": 6432,
  "curve_key": "20538028838593635843860977:-103771306729655396128297028548494245449",
  "ainvs": [
    "1",
    "0",
    "0",
    "-427875600804034080080437",
    "120105679085213644774350854276306081"
  ],
  "rank_lower_bound": 21,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 175.0705057037614,
  "faltings_height": 12.563213469165191,
  "conductor": "918058808899073726623099528906265241268897541825990815343615961414",
  "bad_primes": [
    "2",
    "3",
    "3347",
    "708185867",
    "64552978246316524023424151593219593440610358630571281"
  ],
  "discriminant": "-1218359517525196338896421877209620226748919003347439715005774116856365056",
  "regulator": "1753511819515244651727.6042236932564793580156926698668550416854877062700619850148",
  "points": [
    [
      "400656228434",
      "-113974589214399721"
    ],
    [
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      "-223230956719425385"
    ],
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    ],
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    ],
    [
      "4771875836434",
      "10331394516470848279"
    ],
    [
      "-734815849502/9",
      "10612609861215480941/27"
    ],
    [
      "4091186155430",
      "-8176007157498597301"
    ],
    [
      "13914352391186/25",
      "-29147770105480285349/125"
    ],
    [
      "8603995484386/9",
      "-20647127749190919827/27"
    ],
    [
      "4424232162526/9",
      "4563052504816732193/27"
    ],
    [
      "37731911349026",
      "231738604568522857895"
    ],
    [
      "-6055657312076/9",
      "8681404567302821693/27"
    ]
  ],
  "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/1-21-m10-003423.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": "2026-11-03 00:37:35",
  "updated_at": "2026-11-03 00:37:35"
}