{
  "id": 346,
  "curve_key": "79242200370824348802253560562801:-715316191846330432245533451533112159351147784201",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1650879174392173933380282511725",
    "827912259081400825673880665852533513855100625"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 220.37810771206262,
  "faltings_height": 16.244189892121053,
  "conductor": "799749988490452666919632124716837519159126114433589737854386523851870",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "23",
    "31",
    "4216697847056923",
    "461847537619525509593513",
    "1476824848248452589410159"
  ],
  "discriminant": "-8153715222927956302195203530071282231036456187252543215356220806381515287867179840000000000",
  "regulator": "401836351919833283356.0279594182246569487376264081251835724201924095533359904",
  "points": [
    [
      "-3069528923984800830/6241",
      "-19227855505229860682582850255/493039"
    ],
    [
      "2181668163423686850/2209",
      "1316538885790405221756990225/103823"
    ],
    [
      "1654529263324849506",
      "-2128195637027110066526334753"
    ],
    [
      "100176665612807250/121",
      "7119276619008014161423725/1331"
    ],
    [
      "704967033346320",
      "-3801360193690192395495"
    ],
    [
      "636458637770850",
      "5917123771763849795775"
    ],
    [
      "5338251532814842020325/853776",
      "-382380799804246101859218127279525/788889024"
    ],
    [
      "2913460687526768976075/630436",
      "-151743196956997467402900748598025/500566184"
    ],
    [
      "34893243661712270968050/78659161",
      "9434082018554113962233171657489475/697628098909"
    ],
    [
      "3768321088293550050/5329",
      "-1461460543777262270856456825/389017"
    ],
    [
      "201935356641811906464450/269255281",
      "15065413389926006232079312179249975/4418209905929"
    ],
    [
      "847249363339650",
      "6114588455401318055775"
    ],
    [
      "-663399875436430",
      "40387416863224353722255"
    ],
    [
      "19391526656520306/25",
      "468810089449981442255139/125"
    ],
    [
      "20268223487416898130/76729",
      "430495144312116608458308448275/21253933"
    ],
    [
      "6624573282867330",
      "-529727055468507227993505"
    ],
    [
      "651943419976002",
      "5359859862410393527071"
    ],
    [
      "-1473296219998800",
      "-7887137543232907029225"
    ],
    [
      "37303032483977700",
      "-7200487525462795890942225"
    ]
  ],
  "submitter": "Christopher R. Hill",
  "commentary": "Found with Rank Hunter v0.7.21; family=Mestre/Fermigier sextuple, generic rank >=11; parameter=57894/65; local status: rigorous rank lower bound >= 19.",
  "created_at": "2026-08-25 04:05:00",
  "updated_at": "2026-08-25 04:05:00"
}