{
  "id": 339,
  "curve_key": "23607828260928330960286497975721:-114432133637044773769535652878430892015665464981",
  "ainvs": [
    "1",
    "1",
    "0",
    "-491829755436006895005968707827",
    "132444599116949764711601499902718391049688249"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 216.71739345846663,
  "faltings_height": 15.865948212240703,
  "conductor": "1238318316451373978295596809992671091823834684624403142859416848506306975530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "23",
    "43",
    "847414652347307783",
    "48633691997858641753",
    "13151970204492846993007887537533"
  ],
  "discriminant": "36242601339908124690239703627094837632163784603962972713449076762616483455697692209362500",
  "regulator": "46569763744352744409.61359720185383356072702033688728301781298292503329077965",
  "points": [
    [
      "1325755309181584563",
      "-1526493649607651770438588644"
    ],
    [
      "14811900568473668",
      "-1800684850039588782758819"
    ],
    [
      "3479117997450980808/961",
      "-6375690841885100515680494979/29791"
    ],
    [
      "126763995381026907563/63001",
      "-1350053075773475369221449805644/15813251"
    ],
    [
      "372654799349919293/961",
      "5549544721805604674024221/29791"
    ],
    [
      "182368752388882452/529",
      "-23909733342456329501142423/12167"
    ],
    [
      "22191720064133473282/71289",
      "-58688533311249753481988450747/19034163"
    ],
    [
      "38735597402733",
      "-10651356759778027021344"
    ],
    [
      "32848283322701439923957/21003889",
      "5435396622374262026009925467739197/96260823287"
    ],
    [
      "1607839740652035",
      "59145293836504729834497"
    ],
    [
      "2787903644014973",
      "142933520469638124141696"
    ],
    [
      "3395145223101368",
      "193903293218894149902451"
    ],
    [
      "46678484992606296753/10816",
      "314942374992992739399337786779/1124864"
    ],
    [
      "7796853309458321021670622877/616771481104",
      "687422877097012406755920748397786591849627/484380249142064192"
    ],
    [
      "98137870007750233836620148/10730680921",
      "-969420302142226156410687178371464147661/1111580505925469"
    ],
    [
      "44708850599265413",
      "9452292275726751604748331"
    ],
    [
      "9301924261107281490192/24275329",
      "-59344901259662282399619011214357/119604545983"
    ],
    [
      "356596060653093",
      "-1550828506955649990069"
    ],
    [
      "27192694498319271858751683/10532711641",
      "-137034638259707168699920347357655106916/1080961663004189"
    ]
  ],
  "submitter": "7fff-zip",
  "commentary": "New in this search: Mestre quartic family with roots [0,113,550,753,868,1058], T=6141/11. 19 independent rational points certified exactly by Cremona-Brumer quadratic characters; quartic point box [10000000,10000].",
  "created_at": "2026-08-24 19:18:56",
  "updated_at": "2026-08-24 19:18:56"
}