{
  "id": 6373,
  "curve_key": "4426287301447536:-315459365031840834716760",
  "ainvs": [
    "0",
    "0",
    "1",
    "-92214318780157",
    "365115005823889854996"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 108.2166336621994,
  "faltings_height": 6.970633326103777,
  "conductor": "7404343090185406052246586952458577043892923",
  "bad_primes": [
    "23189",
    "319304113596334729925679716782033595407"
  ],
  "discriminant": "-7404343090185406052246586952458577043892923",
  "regulator": "24681402847853.62782342103570482427811049593398454515844948963746984610",
  "points": [
    [
      "5290295",
      "-5033359968"
    ],
    [
      "5563756",
      "-4928003880"
    ],
    [
      "5650958",
      "4946680626"
    ],
    [
      "5068079",
      "-5285954512"
    ],
    [
      "6092195",
      "-5425701448"
    ],
    [
      "4692816",
      "-5976438645"
    ],
    [
      "4044045",
      "7637648592"
    ],
    [
      "6914207",
      "7620267984"
    ],
    [
      "3226817",
      "10057584984"
    ],
    [
      "2488995",
      "-12288758713"
    ],
    [
      "2270012",
      "-12941586616"
    ],
    [
      "7962098",
      "11647008273"
    ],
    [
      "511195",
      "17835613047"
    ],
    [
      "-158979",
      "19487717360"
    ],
    [
      "10128114",
      "21681479918"
    ],
    [
      "-8632503",
      "-22756544841"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Layr-Labs/elliptic-rank-challenge-public, submission/board/1-16-m10-kh-c1.ec, commit 8a063023532b95764b842318657cf3d536805625. Source header: Mestre ten-root construction, roots [0, 22, 51, 71, 80, 91, 94, 115, 123, 147]. The model is minimal. All 16 points were checked exactly on the model, and their independence was checked by reduction modulo primes (rank 16 over F_3 and F_5).",
  "created_at": "2026-11-01 19:58:56",
  "updated_at": "2026-11-01 19:58:56"
}