{
  "id": 6377,
  "curve_key": "1421562125126521:-72133660773622225550285",
  "ainvs": [
    "1",
    "1",
    "0",
    "-29615877606802",
    "83488020962854498960"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 105.26561550108883,
  "faltings_height": 6.790028591216685,
  "conductor": "224779804212575443651319563531863075014898",
  "bad_primes": [
    "2",
    "3",
    "653",
    "5077",
    "7561",
    "1494536257407572062714658001163"
  ],
  "discriminant": "-1348678825275452661907917381191178450089388",
  "regulator": "41646759737598.56385214407197366425732892888180203541636111846570647503",
  "points": [
    [
      "3095680",
      "4632390100"
    ],
    [
      "3247678",
      "4641629242"
    ],
    [
      "2102824",
      "-5524588328"
    ],
    [
      "1923286",
      "-5801178326"
    ],
    [
      "1547158",
      "-6432803648"
    ],
    [
      "1153066",
      "-7133039846"
    ],
    [
      "4700008",
      "6934271440"
    ],
    [
      "4768846",
      "7118505370"
    ],
    [
      "5138842",
      "8182888492"
    ],
    [
      "-1885778",
      "-11515604774"
    ],
    [
      "3407413",
      "4703203612"
    ],
    [
      "-2332574",
      "-11825834540"
    ],
    [
      "3544591",
      "4798909855"
    ],
    [
      "-3100454",
      "12064162234"
    ],
    [
      "4152529",
      "-5668766096"
    ],
    [
      "219007",
      "8775563746"
    ]
  ],
  "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-m10-202013.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 20:51:18",
  "updated_at": "2026-11-01 20:51:18"
}