{
  "id": 6254,
  "curve_key": "23664834978513456:-3425334423185836369304280",
  "ainvs": [
    "0",
    "0",
    "1",
    "-493017395385697",
    "3964507434242866168176"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 113.10829975504393,
  "faltings_height": 7.3733467962968025,
  "conductor": "879611946669933635328146333627700440787788197",
  "bad_primes": [
    "1249",
    "704252959703709876163447825162290184778053"
  ],
  "discriminant": "879611946669933635328146333627700440787788197",
  "regulator": "60845206382941.65285658117551590571103540635718686125461315826356221891",
  "points": [
    [
      "2188072286/25",
      "-99314997592091/125"
    ],
    [
      "6516212112",
      "-526005519030816"
    ],
    [
      "53144292560/361",
      "-12118920420390187/6859"
    ],
    [
      "109113026962/441",
      "-35901807583596310/9261"
    ],
    [
      "26897630552/3721",
      "6332707068732515/226981"
    ],
    [
      "25434065/4",
      "-263724433259/8"
    ],
    [
      "4438264447/289",
      "-19067804234561/4913"
    ],
    [
      "278967101674/5625",
      "134401789880424782/421875"
    ],
    [
      "215486867776/2025",
      "97996527295159024/91125"
    ],
    [
      "-6611715",
      "83277657912"
    ],
    [
      "7864144",
      "23952113631"
    ],
    [
      "39304329/4",
      "66358923415/8"
    ],
    [
      "15286058",
      "99016821"
    ],
    [
      "15404602",
      "5030893434"
    ],
    [
      "26768229",
      "99738460023"
    ],
    [
      "205879941",
      "2937516391479"
    ]
  ],
  "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 23:01:33",
  "updated_at": "2026-10-31 23:01:33"
}