{
  "id": 6413,
  "curve_key": "5162604845351401:-3145145853366424040450165",
  "ainvs": [
    "1",
    "1",
    "0",
    "-107554267611487",
    "3640215063248712616105"
  ],
  "rank_lower_bound": 17,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 112.81580499440658,
  "faltings_height": 7.45904487230447,
  "conductor": "940812709412034880430328371679874986264672318",
  "bad_primes": [
    "2",
    "3",
    "6863",
    "1525669352583047807",
    "14975368023564927710533"
  ],
  "discriminant": "-5644876256472209282581970230079249917588033908",
  "regulator": "157005671536158.412829275422375393089676407911733800859195301430676511154",
  "points": [
    [
      "2947936",
      "-57870036275"
    ],
    [
      "5396776",
      "-56720869571"
    ],
    [
      "-1855796",
      "61915566919"
    ],
    [
      "-2272178",
      "-62231224673"
    ],
    [
      "9022462",
      "-58350743093"
    ],
    [
      "-6200210",
      "-63783434045"
    ],
    [
      "-8284226",
      "62954009707"
    ],
    [
      "-9870788",
      "61161500407"
    ],
    [
      "13112788",
      "66960301405"
    ],
    [
      "-14295776",
      "-47492015981"
    ],
    [
      "-17629106",
      "7587248287"
    ],
    [
      "16829824",
      "-81230489843"
    ],
    [
      "3603649",
      "57438822019"
    ],
    [
      "1391953",
      "-59104008365"
    ],
    [
      "886873",
      "-59544760148"
    ],
    [
      "-2946251",
      "62703325732"
    ],
    [
      "9190753",
      "58544980387"
    ]
  ],
  "submitter": "The Wren",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-11-02 13:30:52"
    }
  ],
  "commentary": "Original find by the Layr submitter, posted to the Layr Labs Elliptic Rank Challenge public repository: submission/board/1-17-m10-121112.ec, commit ee5456a (Validate submission a7719040-5417-4459-bf2c-8fa1cc09f72c, 2026-11-02 12:11 UTC). Mestre ten-root construction (file series m10). Rank lower bound 17 from the 17 supplied points as posted.",
  "created_at": "2026-11-02 13:28:04",
  "updated_at": "2026-11-02 13:30:51"
}