{
  "id": 6326,
  "curve_key": "585537916621750262352:-14289026070928466678477962147776",
  "ainvs": [
    "0",
    "0",
    "0",
    "-12198706596286463799",
    "16538224619130169766756900634"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 143.47408924970378,
  "faltings_height": 9.813769651412953,
  "conductor": "763984342762073033863271954314650121721944699629870168",
  "bad_primes": [
    "2",
    "3",
    "67",
    "263",
    "328587853588208167307",
    "1832609379685153170800593877"
  ],
  "discriminant": "-1980247416439293303773600905583573115503280661440623475456",
  "regulator": "4530218406133779436899.5913421374064158104090404333961346430646384498675101",
  "points": [
    [
      "98425853133246",
      "976480964312801867496"
    ],
    [
      "-920942789233725/229441",
      "3175273557352246780692/109902239"
    ],
    [
      "-2455809713262353/667489",
      "58777377749750875140316/545338513"
    ],
    [
      "572995518875409/267289",
      "2137104450108006674742/138188413"
    ],
    [
      "495544150443805/214369",
      "2610695633092354703494/99252847"
    ],
    [
      "-3452267408657931/946729",
      "103124864808739603405458/921167317"
    ],
    [
      "174169004829261/32761",
      "1893295252146734373654/5929741"
    ],
    [
      "429553605076117/210681",
      "1153215606861259398062/96702579"
    ],
    [
      "1124088394018089/624100",
      "9980188574455906537437/493039000"
    ],
    [
      "8705793899911774/727609",
      "781003574703975938575852/620650477"
    ],
    [
      "-1546598523938397/1117249",
      "207158953209293571119964/1180932193"
    ],
    [
      "-68363868182743983/36590401",
      "40090287062227743014787558/221335335649"
    ],
    [
      "-4724249551235/5041",
      "58971021413354202502/357911"
    ],
    [
      "7547816760508497/7912969",
      "1690861730358260802490614/22259181797"
    ],
    [
      "-184723556526495/58081",
      "2130410064755034870282/13997521"
    ],
    [
      "107295516199909/4489",
      "-1100155464923177306942/300763"
    ],
    [
      "27695643948637290063/12741668641",
      "-24594960315875473334779365708/1438266814527439"
    ],
    [
      "-23161381871939/167281",
      "9236313486253255174714/68417929"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: Layr-Labs elliptic-rank-challenge-public, submission/board/1-18-mestre-e-man.ec, commit 50996b75f386f17ed01450a3f90ece81d435f51a.\r\n\r\nOwn find: Mestre ten-root construction (Mestre 1982), roots [0,5,32,42,60,85,92,97,105,106]; random-sampling Mestre–Nagao search with true-height filter. Source claim: rank 18, H=11.956174104141981051.\r\n\r\nThe 18 points are reproduced from the source model. The corrected point is point 11:\r\n[-1546598523938397/1117249,207158953209293571119964/1180932193]\r\n\r\nThis is source reproduction.",
  "created_at": "2026-11-01 01:05:03",
  "updated_at": "2026-11-01 01:05:03"
}