{
  "id": 6424,
  "curve_key": "1042696643344761:-35781209787564394020045",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-21722846736349",
    "41413442684837140129"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 103.8634196844439,
  "faltings_height": 6.60207246581577,
  "conductor": "42435821077750672948299915694730546374774",
  "bad_primes": [
    "2",
    "20587717",
    "5224197837395591",
    "197276252379186121"
  ],
  "discriminant": "-84871642155501345896599831389461092749548",
  "regulator": "8388559731573.460738717631140529940496467948014858882585421561429252913",
  "points": [
    [
      "2567252",
      "-1603037795"
    ],
    [
      "2799030",
      "-1595052743"
    ],
    [
      "2393412",
      "-1770995537"
    ],
    [
      "2296600",
      "1906171977"
    ],
    [
      "2973352",
      "-1765188007"
    ],
    [
      "2189558",
      "2083876897"
    ],
    [
      "1779884",
      "-2897084417"
    ],
    [
      "3475120",
      "2807368833"
    ],
    [
      "1264096",
      "3996069809"
    ],
    [
      "1241488",
      "-4045158303"
    ],
    [
      "4128440",
      "-4702826007"
    ],
    [
      "2384225",
      "-1782899148"
    ],
    [
      "2883777",
      "1657343755"
    ],
    [
      "2917885",
      "-1696066513"
    ],
    [
      "3006927",
      "1810093268"
    ],
    [
      "1886937",
      "2671563763"
    ]
  ],
  "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/1-16-m10-160536.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 16:10:41",
  "updated_at": "2026-11-02 16:10:41"
}