{
  "id": 341,
  "curve_key": "148060204880487918027170050425:-57022066837023831163756517666344651747378125",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-3084587601676831625566042717",
    "65997762542852427586433425766175664366441"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 201.50402447231545,
  "faltings_height": 14.561057857779588,
  "conductor": "135728434608497948561915641226036813359924982522780290436813966763050",
  "bad_primes": [
    "2",
    "5",
    "7",
    "17",
    "23",
    "41",
    "73",
    "263884463",
    "133288999652357",
    "9421307797688753118486482507112040631"
  ],
  "discriminant": "-3336987098669501970890481504495636828867532662799128045348091937609448562993812500",
  "regulator": "4523809601657028110.312132294569182823380958526309006197033324151590846779793",
  "points": [
    [
      "5482409602445553",
      "-405914927902343669302637"
    ],
    [
      "884323231909284",
      "-26246969427969312049717"
    ],
    [
      "368135891521994",
      "-6987253697844091612847"
    ],
    [
      "-26615414184979759/1849",
      "26057960202939920064602481/79507"
    ],
    [
      "-7970260217407031/2401",
      "32476377926270256180130172/117649"
    ],
    [
      "904980822794776875659/30184036",
      "3583817959818037571917260523827/165831093784"
    ],
    [
      "484656041357598914309/15452761",
      "624155922669691835316174109573/60744803491"
    ],
    [
      "51170778122056719450/1545049",
      "24782733151924756199323457503/1920495907"
    ],
    [
      "34685585230304",
      "27146086832673595923"
    ],
    [
      "65171193492693",
      "376526333758412072623"
    ],
    [
      "127918358983491134591/1885129",
      "1064456212683213642019927977116/2588282117"
    ],
    [
      "1568312459328623626/7569",
      "1899710732084472584519308819/658503"
    ],
    [
      "34804647475960",
      "28299409282181228181"
    ],
    [
      "2507912851611679",
      "125563393822782356826773"
    ],
    [
      "56840290468211327130719/1100401",
      "-13551400570909999219173307035099028/1154320649"
    ],
    [
      "-2259441977470839766/83521",
      "8691047799105577021103678337/24137569"
    ],
    [
      "-29532855865420267/7921",
      "196187424194633242162992092/704969"
    ],
    [
      "2055990865266521/169",
      "382255036322074603474476/2197"
    ],
    [
      "26599240767639380/841",
      "213825979468701051047991/24389"
    ]
  ],
  "submitter": "7fff-zip",
  "commentary": "New in this search: Mestre quartic family with roots [0,115,206,234,731,784], T=5494/7. 19 independent rational points certified exactly by Cremona-Brumer quadratic characters; quartic point box [10000000,10000].",
  "created_at": "2026-08-24 19:19:04",
  "updated_at": "2026-08-24 19:19:04"
}