{
  "id": 5990,
  "curve_key": "6703695080350233444936368457270635509444027015200631303201:-749361316110962413988669364784077892565714238744146341090474411770574014101941772794801",
  "ainvs": [
    "1",
    "0",
    "0",
    "-139660314173963196769507676193138239780083896150013152150",
    "867316338091391682857256209229192534658783435852710403246028308456490710161042622500"
  ],
  "rank_lower_bound": 30,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 400.072738153425,
  "faltings_height": 31.35912884274348,
  "conductor": "8271715155405553481885092585610900195192700182609395052784941335501791096123170191746499494920225747961072781036355100854356282050520760370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "43",
    "53",
    "61",
    "67",
    "79",
    "8233",
    "311123",
    "30529231",
    "60992481324017306163967019649383",
    "660189936915218930224827205442843665070049640700195752604793378353921255341189"
  ],
  "discriminant": "-150625862919328013609146641641051887871794029592860010193678788996269082112115005523469500647342829443644655966838483091169549923555826544246883566627950570141721600000000",
  "regulator": "1020180755256967575516865430362327387.7975531346859294468408098885578601221222085778927168742783583",
  "points": [
    [
      "-52288199399376446594904173473638220477486246707376255680886019990624019020488676/6634627873285331235368576843974949430204670426841025",
      "657102615700602182533526641231672320977478892928050323709941318319193558073717480727328874202477633448930922425735503258/540411837376915481584685510739364288504716175598504668154000855409326044382625"
    ],
    [
      "3480048700362869101579010892",
      "650720834632950112685717188058902029746202"
    ],
    [
      "331432642701554117595016718244/25",
      "145013465425387814449986913674063822749472762/125"
    ],
    [
      "8167683111073366613891799300",
      "521046873054906720839071735553475747062850"
    ],
    [
      "23489724905620811954169991875/4",
      "-3997472583333935016020032932524643009687825/8"
    ],
    [
      "48429143558403400623053319950700/3481",
      "-261173057116643188267847629976461284596695004850/205379"
    ],
    [
      "415864453268449508653477772380/81",
      "389598643194273547872940259971824538317522250/729"
    ],
    [
      "9299953370212690379026985749800/121",
      "28051117094327500595061091435559618493486658350/1331"
    ],
    [
      "27920343015577732502852833682475/5476",
      "-217383485471913201398941101897729026143050777225/405224"
    ],
    [
      "88045117570031016883767683117/16",
      "32972227429790733810341831965336073841866603/64"
    ],
    [
      "-9062810518378127071841626500",
      "-1178414858727923237428287229867763785261350"
    ],
    [
      "-23268493900887793227249170791200/6241",
      "-569922037635535790661690069350662032049901401350/493039"
    ],
    [
      "2442459875475879331896229677180/361",
      "-3304544491536864371273066216346464279288249250/6859"
    ],
    [
      "5074212739043045735274352061175/676",
      "-8644839866175008409063134529777826313014045275/17576"
    ],
    [
      "6392352822316189291832119263/4",
      "6440910108005162717315076040514995280692041/8"
    ],
    [
      "-1708989129710126543961626466900/169",
      "2451918208967563924369704638926135978012553250/2197"
    ],
    [
      "-3380930561857920530994378659700/289",
      "4661076270869116925700788298871140258689657850/4913"
    ],
    [
      "-6284263243826155207703472900",
      "1223438031136417069874502214347840489527850"
    ],
    [
      "932232854666465558464822735500",
      "900019544484313754575430491646652169325237850"
    ],
    [
      "87593466662059818744250421580",
      "25704181890883683712024624481424145642676250"
    ],
    [
      "15037113795648161339291728650",
      "1472189576388873639555278557588728292134750"
    ],
    [
      "-333547056538321985472686294340/49",
      "420448626413677648808471305740940601241457350/343"
    ],
    [
      "38283302283204688354115647685550/841",
      "229875505959283012086991449149076664298460174900/24389"
    ],
    [
      "1669971512802283486805587525290",
      "2158006556708935130712894475523297319882409950"
    ],
    [
      "249621508357909465806275064300",
      "124579875192124914180078624914487212411177850"
    ],
    [
      "56950695829393490101642994490",
      "13327655910905278296775482679608655660219560"
    ],
    [
      "368559342572077197560657937217725/35344",
      "4904789112726596698942637065529722997681833344375/6644672"
    ],
    [
      "129001176296895197347024907340",
      "46147575194510846510017113463823254693341210"
    ],
    [
      "1017345513525307733852482804834700/157609",
      "30317561932789774231593734572106205883345752426050/62570773"
    ],
    [
      "85900304591454413611662551300",
      "24954297714071722762359819757914364858417850"
    ]
  ],
  "submitter": "FNacc",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-27 17:00:55",
  "updated_at": "2026-10-27 17:00:55"
}