{
  "id": 6376,
  "curve_key": "1294820381754601:-214409192098529599908085",
  "ainvs": [
    "1",
    "0",
    "1",
    "-26975424619888",
    "248158784903123874162"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 107.4443465094929,
  "faltings_height": 7.0103366298417065,
  "conductor": "1810534797820489805011688523163678338628622",
  "bad_primes": [
    "2",
    "7",
    "823",
    "6269",
    "9341",
    "71537",
    "3882145877",
    "9662395040672131"
  ],
  "discriminant": "-25347487169486857270163639324291496740800708",
  "regulator": "14199640123216.19345250387880248551765547613230795871342255143750654075",
  "points": [
    [
      "2766049",
      "-13955112143"
    ],
    [
      "5249425",
      "-15852195947"
    ],
    [
      "-3018303",
      "-17378985379"
    ],
    [
      "6050001",
      "17501336825"
    ],
    [
      "-4903025",
      "16205937153"
    ],
    [
      "4049898",
      "-14331581005"
    ],
    [
      "10309291",
      "32640641775"
    ],
    [
      "4647474",
      "14936620818"
    ],
    [
      "5904226",
      "-17170084302"
    ],
    [
      "16269819",
      "-64164262603"
    ],
    [
      "10292358",
      "-32575296145"
    ],
    [
      "19239121",
      "82757622325"
    ],
    [
      "12486928",
      "43102021921"
    ],
    [
      "2016415",
      "-14212402799"
    ],
    [
      "3120705",
      "-13943165919"
    ],
    [
      "663551",
      "-15184250127"
    ]
  ],
  "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-m10-194825.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": "2026-11-01 20:50:51",
  "updated_at": "2026-11-01 20:50:51"
}