{
  "id": 6403,
  "curve_key": "21944880029043342507216:-2507680264899688550727258523343040",
  "ainvs": [
    "0",
    "0",
    "0",
    "-457185000605069635567",
    "2902407714004269155934326994610"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 154.32846242732305,
  "faltings_height": 10.87595172654583,
  "conductor": "77396300739231291828456235358756520862785978501077281051455176",
  "bad_primes": [
    "2",
    "114207382033",
    "494460317233",
    "8685805881979",
    "19723976564849803736961787"
  ],
  "discriminant": "2476681623655401338510599531480208667609151312034472993646565632",
  "regulator": "10016190589474542681.7483459642353474581909116067231040032032142579522041467414",
  "points": [
    [
      "6962303753",
      "238401568259206"
    ],
    [
      "5127890029",
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    ],
    [
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    ],
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      "-7372810970",
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    ],
    [
      "-18941013462",
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    ],
    [
      "-22788489578",
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    ],
    [
      "-36641248807/4",
      "20114410624664101/8"
    ],
    [
      "480408535509",
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    ],
    [
      "327389504101/49",
      "-131074016506192318/343"
    ],
    [
      "-838296061151/64",
      "1319682729967820239/512"
    ]
  ],
  "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/1-20-m10-014736.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 01:53:39",
  "updated_at": "2026-11-02 01:53:39"
}