{
  "id": 6255,
  "curve_key": "26118911235756976:-4079600501191065421890776",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-544143984078270",
    "4721760020722838931056"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 113.40430804585851,
  "faltings_height": 7.370608994579379,
  "conductor": "362690224994678250876232239094171126809255",
  "bad_primes": [
    "3",
    "5",
    "10433",
    "565163",
    "10754417",
    "11452501",
    "33294649870321919"
  ],
  "discriminant": "680044171865021720392935448301570862767353125",
  "regulator": "52408437985889.07597862689710322924387138309710369136141404706735957405",
  "points": [
    [
      "1991701215",
      "88880527524412"
    ],
    [
      "869137530",
      "-25614025752233"
    ],
    [
      "2348089017/16",
      "112421038730875/64"
    ],
    [
      "347317693/9",
      "-5480026630217/27"
    ],
    [
      "3688138185/169",
      "-125059899318011/2197"
    ],
    [
      "76584905010/4489",
      "6045674287593256/300763"
    ],
    [
      "10928859860/961",
      "62126039990057/29791"
    ],
    [
      "1249635590/121",
      "-18991870328528/1331"
    ],
    [
      "112962573315/14641",
      "-55535375691939368/1771561"
    ],
    [
      "-25205085",
      "49236747112"
    ],
    [
      "-10464710",
      "96281238487"
    ],
    [
      "5262090",
      "44767516087"
    ],
    [
      "10509242",
      "12802483415"
    ],
    [
      "15495990",
      "3270410512"
    ],
    [
      "20351990",
      "45576442512"
    ],
    [
      "125117295",
      "1376687431852"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Jacobian of a genus-one curve from J.-F. Mestre's ten-point construction. Rank 16 proven (independent generators plus a matching 2-descent upper bound) in M. Rubinstein's elliptic-curves-by-rank collection, file mestre/mestre_rank_16.tsv.gz:\r\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-31 23:03:02",
  "updated_at": "2026-10-31 23:03:02"
}