{
  "id": 6265,
  "curve_key": "14154495766083282441:-53016394592550177748124892261",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-294885328460068384",
    "61361567889172926730902388"
  ],
  "rank_lower_bound": 17,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 132.28969190851143,
  "faltings_height": 8.855092347736026,
  "conductor": "465029593840878488544983778334871243962968049070",
  "bad_primes": [
    "2",
    "5",
    "15428303996049423811",
    "3014132946563368903261954937"
  ],
  "discriminant": "14532174807527452767030743072964726373842751533437500",
  "regulator": "273543072116664.905988698567109313810305761883648159650806019976694812016",
  "points": [
    [
      "442265127",
      "-4177593577126"
    ],
    [
      "3899573304502",
      "-7700620812233970876"
    ],
    [
      "-1336978709873/2601",
      "-1164906802482272651/132651"
    ],
    [
      "2639708458/9",
      "8651493873398/27"
    ],
    [
      "1175386269688/3969",
      "-18285051003727922/250047"
    ],
    [
      "47501872323/169",
      "-1815220298149597/2197"
    ],
    [
      "452916866238/1369",
      "-5949529059420028/50653"
    ],
    [
      "890069132058/529",
      "800469374021862958/12167"
    ],
    [
      "28764913281512/11881",
      "150684290206568049346/1295029"
    ],
    [
      "-594851498",
      "5127416782374"
    ],
    [
      "-200424173",
      "10602586107174"
    ],
    [
      "-81050198",
      "9204911653124"
    ],
    [
      "270258702",
      "1185560481374"
    ],
    [
      "290130002",
      "477663579124"
    ],
    [
      "350061302",
      "1015284573124"
    ],
    [
      "4994095377",
      "350919648351124"
    ],
    [
      "3833139643/9",
      "97439006210098/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Maksym Voznyy",
      "at": "2026-10-31 23:28:56"
    }
  ],
  "commentary": "Jacobian of a genus-one curve from J.-F. Mestre's ten-point construction. Rank 17 proven (independent generators plus a matching 2-descent upper bound) in M. Rubinstein's elliptic-curves-by-rank collection, file mestre/mestre_rank_17.tsv.gz:\r\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-31 23:25:00",
  "updated_at": "2026-10-31 23:28:56"
}