{
  "id": 6253,
  "curve_key": "22365171354597001:-3429166762134757157049125",
  "ainvs": [
    "1",
    "1",
    "0",
    "-465941069887437",
    "3968942817587930552745"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 112.9887190740644,
  "faltings_height": 7.3210968479543705,
  "conductor": "1491350913958806556224626733815272488356514",
  "bad_primes": [
    "2",
    "3",
    "37",
    "9181",
    "526528998929",
    "1389679297145768871252763"
  ],
  "discriminant": "-331079902898855055481867134906990492415146108",
  "regulator": "81140308898217.35721291961130848947083285589720387996619647341181935168",
  "points": [
    [
      "464752260",
      "10008335448795"
    ],
    [
      "1276281816",
      "-45589438487595"
    ],
    [
      "340556111/4",
      "6099849815687/8"
    ],
    [
      "16838090704/289",
      "-2053065242516563/4913"
    ],
    [
      "74474310510/3721",
      "-11710726782116835/226981"
    ],
    [
      "98741282313/6241",
      "11637044569297155/493039"
    ],
    [
      "13950167414/961",
      "483941192427699/29791"
    ],
    [
      "162497073901/11664",
      "-16984737863493857/1259712"
    ],
    [
      "206806874379/16129",
      "-20764786280478438/2048383"
    ],
    [
      "-24624276",
      "22625427387"
    ],
    [
      "-588928",
      "65139716467"
    ],
    [
      "8696296",
      "23967379795"
    ],
    [
      "10285941",
      "16260131154"
    ],
    [
      "14027301",
      "13890170985"
    ],
    [
      "19007604",
      "44484971739"
    ],
    [
      "185786732",
      "2515886046937"
    ]
  ],
  "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 22:55:50",
  "updated_at": "2026-10-31 22:55:50"
}