{
  "id": 6323,
  "curve_key": "341617745097624583057:-6352052587146098190181348100281",
  "ainvs": [
    "1",
    "0",
    "0",
    "-7117036356200512147",
    "7351912716011193949693184289"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 141.8526615851295,
  "faltings_height": 9.664206185895248,
  "conductor": "19411133257706478263023107221685307117146816645736646",
  "bad_primes": [
    "2",
    "7",
    "1386509518407605590215936230120379079796201188981189"
  ],
  "discriminant": "-278278006382480072378699265130080562831416763433280557056",
  "regulator": "9980726422662654.2820632834992259805810240081754217750257267172099455187730",
  "points": [
    [
      "1500267630",
      "-7160378243463"
    ],
    [
      "1462085038",
      "8466192652025"
    ],
    [
      "1347336110",
      "-14447525925543"
    ],
    [
      "1338059374",
      "14984686252665"
    ],
    [
      "1625229950",
      "-8828586585767"
    ],
    [
      "1173625230",
      "-24814417533063"
    ],
    [
      "1622251030",
      "8692209313833"
    ],
    [
      "1953517462",
      "30061138736961"
    ],
    [
      "1423676122",
      "10253127090321"
    ],
    [
      "847709542",
      "-43908360316783"
    ],
    [
      "-9903298",
      "86153321061097"
    ],
    [
      "1078980494",
      "30477603892345"
    ],
    [
      "984305474",
      "-36059144135039"
    ],
    [
      "1694797592",
      "-12571036404959"
    ],
    [
      "-547594586",
      "-105284870802039"
    ],
    [
      "17581664542/9",
      "-811705086823325/27"
    ],
    [
      "12699726886/9",
      "-294395282710405/27"
    ],
    [
      "40730083743/4",
      "7962448605341061/8"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source attribution: Layr-Labs elliptic-rank-challenge-public, submission/board/1-18-mestre-11010011.ec, commit 287daf3c0197665eadddf883b1d165a52296433d.\r\n\r\nOwn find: Mestre ten-root construction using quickrank quartic points and the Washington map, roots [0,6,15,25,32,34,38,67,68,85]. The source supplies 18 rational points and marks CLAIM rank=18. This is a Layr-Labs result.",
  "created_at": "2026-11-01 00:41:23",
  "updated_at": "2026-11-01 00:41:23"
}