{
  "id": 5982,
  "curve_key": "661841275592556126825338194719796748789018546913789260367860679825:-543489040490234638277471926286736696725406841094185551360522803050089355777675579588461762160685625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-13788359908178252642194545723329098933104553060703942924330430830",
    "629038241308141942450777692461504253485123851385134566414813706175299660140204504213117381404797"
  ],
  "rank_lower_bound": 31,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 454.6923569381899,
  "faltings_height": 35.75294008739531,
  "conductor": "117794698838592718053041793389174313120535417408712936291855601527351927716029425658899174269591823326404098616966876446169717450148621053728889118191891858350850",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "29",
    "53",
    "291502963",
    "56240524793581274256305918537",
    "1396955561458892662250952031973292719785466115670446309418097834308366607679602134400456906735681967974859364751"
  ],
  "discriminant": "-3166342106756542970671998598226696574497841358193650350730400707862581315481626233394907009205483000431677195913806092153744987969382578933982254354477639973433669991352919084163771131904000000",
  "regulator": "3127034993130753080176134264177030918303.945886210259904814320418355078463346544569550219885739602371",
  "points": [
    [
      "9892235925711528496085011284297101935/6724",
      "31016806955196658365202575721639962048315131538921849323/551368"
    ],
    [
      "-3488643419091173934474809080736282961746441159/3078774431757025",
      "-137161562129318057160620696856635804857878583742255887017234761768230429/170831048656444677852625"
    ],
    [
      "382352348733618470503884900426571/4",
      "3435639305214112458099496711763621444458976738125/8"
    ],
    [
      "-21033569391178081279152609936901903/169",
      "1419147751749665138951392551775584645683432117913055/2197"
    ],
    [
      "130341035507500677659767610448089",
      "1022831868810974878169279679065347514602901165555"
    ],
    [
      "1285004218407335946391860242273689",
      "-45877619372434094302781622289643087440890095725645"
    ],
    [
      "496636266340918251668569028195845",
      "10783105879558871728692484201057634795562810989003"
    ],
    [
      "-24075520683575769689360935980161",
      "973162511945065701018626550095270446609228390355"
    ],
    [
      "8266791140061554901068904302341009/25",
      "709604776644607337498439396674906056562377049091367/125"
    ],
    [
      "762882998091980099368156047665353",
      "20835084990898334002622552187555786005386349573075"
    ],
    [
      "-50518492665645016901171228307047",
      "-1093926981394526445815132384463442613722536676429"
    ],
    [
      "104918086897051245592000611604105",
      "580782003369343688808786379618254452001469601363"
    ],
    [
      "30218911640822003812299334643500183",
      "-5253091364935748400233908858947967752190153838602555"
    ],
    [
      "42486516182058062244655972968787889",
      "8757396733615482202671404417476510122982939947652555"
    ],
    [
      "-806096427026949036989670591447484775/7921",
      "-697273151255748029392144842520516979917407617328021221/704969"
    ],
    [
      "8877358142533563994185278502672889",
      "-836349518135809843850238378473942937600285497598445"
    ],
    [
      "22131495593519120860873852242305483455518766124933289183032281284360996697/325179505384738961429773372251565961130609",
      "14203956606858650386199043536112123667876484222273314179917244642240726854223869089841450917112012186907960533/185432028493466536073729843011226569716308256156845509373836023"
    ],
    [
      "-2738087319397538963489537653844011872288105511177308959/21430560820902445057609",
      "1732796044773822501608101839818876147771810374555862423322552276817335516114963775/3137258499014459041126496128385477"
    ],
    [
      "54328906677696259616738073501612285473745329013598950416020536495272861576047448126215120092403381298881/855142883535264895203236646382244773989246584398859698254877442957094049",
      "76959956030939681715025068862042784519630477459287543763736819088573306924282898268818958066607113442832507337691761913327724570828609522687893429551711605/790784282644957830870352279549096492825710381814556827217089768190420368509856129605968442585864874506731407"
    ],
    [
      "3446703211468861234364266307496805824319852708836199464952201396572044209/25430905636372051974918476792353746380025",
      "4533904457631941889131492474330048793989905217107822136349516069210835599886385425678527763858745558898275063/4055484441305644397872868878440131970814599870239049927850125"
    ],
    [
      "-2317603829711002285072949956886233851781745333777272808221161596393879095780264318381342981595869761489680205551/32569387947251066874599849666185845390589960116819172940965858730858040555510841",
      "207801711518755499013732312607016923374133365006461602564752924094803291453698311164859220755018582388639552465631550404041926755891709757956215489481559656558672248905/185872181414910482188277416384518522343680846202750106269058662603625875466252876764817585494072857423246153280747790611"
    ],
    [
      "-299499226900355939541544947766598031225156988820828055223918421461068041414705087/7685932653402624273310873279641709050625442277721",
      "22420771178105737124124943222485731728111442432737321466077131606546276657027168697102318977347008388379710574622155293849/21308106662523653141270587051342856917442629755193906853038106836988202019"
    ],
    [
      "-1222934827491485864309984085124557996893785127138839258110187116007115/271135576490001357731410041115385701681",
      "3711607701645268595406447284892478454838414503027049290406740502965659769371495251061539647552833280456903/4464571263317353715349797395617176301508967994429970618921"
    ],
    [
      "28726261549111891517800092727339343533832207322695481984068046768814921361/396697042515594929613995404448331771468049",
      "25346200629458580341086009140003553493875509825204196843578109655102941317933056715826790904168987851681250115/249855229698220399945208198888811057306530463028673950781945593"
    ],
    [
      "-92389710010922413656826027045419305163744381176345731604369583941915269637999/1022895988167232056072943172051311677610466809",
      "34893005504274398866091189319616447224524859516878150207041307303237868116046698167769065988805460946153495935770665/32715021717900910512048158311373837496435378004776347782330255963123"
    ],
    [
      "824462911722470112550691041801702777890730889833369332957731907635048995348419430452494218005796522447537699061817383786718583300438057073072011554945068668638997306433658142898336491861803079405/65375534412748006039116736492787488959663530976292880490014144799749714984953635039949859679928176029486074439480940292455926485582900476306301794800212813101864721",
      "357400602801716627543881012189864508947950386482189846625101144150362196164432459773479140290057622246936751743542821799018809322319809345127965814066506651033044171004122914175595059574894845515533248126712890822556538937105110451154149616274595539668435760627538745796829045776860674291277489/528594789730554014518988618561566828984728366866420034179513149013864332007372860621103373938878961817261315273232072204121392268495792223230349848496887812063246193979488623186967472810570312231453773598029893854360064491755946007031461431616519"
    ],
    [
      "1667259968773215891532875285236837149049315141403414231211294792007955496879105264853349569049281256626720271900637252976545748977856123410258935755043750800082721255664600809/23672069650174628919442976384303491520247807211942581457137039275042737847942687784743244368984965903174071792010200183682493445210099567663961",
      "310876476137626393323928523919339825937436827370190312663254600515813881761456267960035540106872079056379148538379372005950717814839231380444184370765775786922968672690206226154338555957639908579175570867095840535276103924881954800518185159476016176663930621865/3642120790014652059682805032976367221102779861744095707006295060357522347700645253237648761837289089699647225094635255496453779450348656904417813610891647302791568014858681485528355283106746881587404620426745984291"
    ],
    [
      "5030905328098956639936403491034152983464429473638753961379880938534037392777462622338474633/2007913446639700454637726523374674313854764789563905896561",
      "11271986366995847414216642685359365997837891164469125162588462304318678505557634091166083176525716257654462447013442733176547668146219189/89974093999682062949212442840213297189553184688434528897731759665868234683586396333559"
    ],
    [
      "-11812062440850886076761057190465605135165693694552283449238188781952855130099264211356953844381277066820575046914583479735952222102759483207644158539281575/88866979139434459857404967274014184085946532004769297700408021116382958476331376553337842946807629124774439868148492301361",
      "282175114485289239492507357707447379493410019212801077258914358406109735629574398556547317133029325782889853950313204086676197863903301692623900357894410819161072738954406502451250047266398829378853957044713486961182269600977832331/837742649852156066462609610821303488152393872542950988725991668610980897507206132693451705905118228370613247477858220710622996388173529849576637479407376252633880085424259184477289641"
    ],
    [
      "-48922647093137939192914228897349974797713457121055900903948930117400804566512072440270257798008760521130775736486868451381084734351/4000469616206613433937853224937858019456799674236984787381097081092853294302265564037601756554470041",
      "225723457806619374215898703314339878234091157804802206659773682678545192234792893686456924362448408056872616653904242025853332530786348743427445866321516786185916501833814327857499959181568692352345/253026765826253234874136143968978380510889925770013953706682493721342345822092955789495925988722642224957757043984687438195975428999598504616360838339"
    ],
    [
      "-243685486898136895700583575677996724230984788525047496702575521431766663992181709631719682410663351/5106692803363062003815476504732301478354548971845430218521623030321",
      "12526952583380700255512172752197397293950713128696967816542951670373347764062993500854757190565289575326534728803175747145908077344429797438887772885/11540100739965509672605568528599021106129484694596326578943335443955997880458262654911585737402604119"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-10-27 16:13:39"
    }
  ],
  "commentary": null,
  "created_at": "2026-10-27 15:59:08",
  "updated_at": "2026-10-27 16:13:39"
}