{
  "id": 1843,
  "curve_key": "161712784817209630067917114487352452472733551139878976:-61083129962794476472898376520472814895161234267255924121907390582702896227323776",
  "ainvs": [
    "0",
    "1",
    "0",
    "-3369016350358533959748273218486509426515282315414145",
    "70698067086567681102891638368282530083221590115455135645593374706367580310243"
  ],
  "rank_lower_bound": 29,
  "torsion": [],
  "naive_height": 367.5529847135862,
  "faltings_height": 28.57839214941357,
  "conductor": "69493352738105582876147427268788655783935752100966723764353741423399682386556547541634042174297153982663740032993192010298427080",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "29",
    "37",
    "61",
    "127",
    "44210011673",
    "48367980223723560498179",
    "284605515351186083133155982769651",
    "547722473807114352576244341883369347903494993034413"
  ],
  "discriminant": "288082335572076215929807840016899405641028344618936666247029307307910559218583742438295732495146908547090255933649112258877817638515996417008892650708000000",
  "regulator": "7421601358321863207099570953450100.75319614160931323729386523219829715293114344135219413027607746",
  "points": [
    [
      "26476806792956026649836149991/81",
      "-4244187896305480810713782630061877620173210/729"
    ],
    [
      "101672392434131544564895420335088366299820324544471/3867935085272930884215481",
      "-132320750600807686573755744034726722287796064030284039848900961123439904130/7607093691458749146356939714580876371"
    ],
    [
      "81580716192566798784544533689/64",
      "-23277588805040688144750287693496561232707405/512"
    ],
    [
      "42179408641432413477060131",
      "-60302915769761532881727289214930661150"
    ],
    [
      "-3347296100362369850280038692471/222784",
      "-36110155748895438595181413725193731811511581125/105154048"
    ],
    [
      "3952938315331140358660243351294/3969",
      "-7846154634247819127560630605686239369176242255/250047"
    ],
    [
      "17883060396263002986210648161/256",
      "-1719521504309965378286637918068282812817775/4096"
    ],
    [
      "163082325422234986801548388121/16",
      "-65857208135748865398210420587527127350599675/64"
    ],
    [
      "-21855301336344989269777194799/361",
      "-1575571242812075065663857265882991469473430/6859"
    ],
    [
      "-29339773084921153700354719",
      "379852486929700456999720403350264694550"
    ],
    [
      "50411158454924614600661231",
      "-170209181954046968665502521152935479350"
    ],
    [
      "5177283154219739124283045883039/97969",
      "6151438533457493660344047679545408196202701350/30664297"
    ],
    [
      "103868640545763260360622485011",
      "-33475463849711900062199204264634166575486690"
    ],
    [
      "141473286379916333801595031",
      "1557439029209836608984710610280850635050"
    ],
    [
      "63577741395989111499613481",
      "-336887313260589445821513891420533956350"
    ],
    [
      "24440510816611381432637806",
      "54376891144569584346862122024016350375"
    ],
    [
      "19715147825418054769068261962400431/21058921",
      "-2763010473164379661202159898845488801634439283834290/96639388469"
    ],
    [
      "102997808531538571937119705232457532638754510458070693523754853928247679123479510964820835682243504931383271162567/2554520312105077759817497672150719470431833622182639406348533825051208963077874389285889",
      "2605945459067773426903725840750301097895087818116140835548788143998371963378241627594738542304708666933734965469074682275655162606556743998647504530575625359724686676694/129111236516807579353657703906098692043218587115062092583120566732501128059931030928457459208215815976928662233348884902391574067713"
    ],
    [
      "-3927223153431814251069083098461981030628157972920376672286674576113020610412984257240542749259910747977365270683963039403011453/77793829116997281608616567794327633590215733946358877936339146184033002230897985354590955253180817881",
      "7265423542563172811423390487966451565567579727182121970586894107185106247014503549184267243072532132921000955428375997836097319543050769981470541949876242163623451282313909629235951330256890/21697900976480815334815312911248629879462485989413976269701483259960068348985279816474292281150247774103917772066318919734107964904810979665110614576029"
    ],
    [
      "722793503047669664666094877825803520404974598264601408446212789238279042994936387508420813666065126/29068700322061102769102563456533084295722511272092564105065825132127048121",
      "7517414616099340074790677653512703112752243697057835384113735783625349010258979649894442117910661864564252138009488075990791582459713805636073059175/156725051774396579485064566468873139737666498850440747399241615653474199849887439300006615439395841301119550419"
    ],
    [
      "119132412114926994165967726122763534382878814738728691047239053157851431908757044691308170958346226901224447069185601/2905452767647287897185792803807268830422562279294282641128775052705045858528826924488177936",
      "191455616975071694274846216284220029364698312805509782475390742244623607073838269048577874101911967031720923835904374054884190678642801275939612891235289936872905067870230345/4952457184483180893462350302017334768491371482285171061164927240494743978492240456694538009100877112475845251930340840035039742266298816"
    ],
    [
      "600707419519379319762994124075635879262180432461262946427092623563308691732118392900317457460657799529/14815641596455193925689906858344209686423499840572220741633275198723342304784",
      "49513997582225526342401275546501139377742053208946963535438601154618276938825330813819144411185315873676859131617611033805067050676690656791013970656125/1803352786498821489438018262880054379678130639645092769625551107049783820143314427669382036954567964989213578789952"
    ],
    [
      "12118677363359040751302833795719637531733352549492074588655304119/43519404621972931841223632281544989129",
      "1307011367184404078247697326114141782775107777564286614203297743527216854410941307920591315430030/287094199407576206461321233447866806838013646841954063867"
    ],
    [
      "-19763213875026712813383948882855922339328667891595321207020603285988826401118721251869913270255725912156780721994800751222991747862959/4808361565873085586408289765962803705137619923005706310724919600081151760017753190650799386665664903901882121",
      "3064517073535444688734408300330736631762572878683522688124250629639662132724289204698676508869168872514416748569299247293970610853026613282285966828516227586514741770886097333672441427589606944882073130/10543763977111804983096955216195953001014769990590718190511941451815543224412140008059630949698451999196827234274781815972197836258116386668468193511806715458539419"
    ],
    [
      "448310576541775231971934014336853292923410563051116082468776424508242587730391769793384706458347262897771702401012843379/18198332088377424810877629393874290432246304238349135413071901652252583204803517230139480769209",
      "126458027206513103865153161919357268500866425190338785772039585026878579307645236298206806685112674577644732192272022182181513124103914162399376894639757919431429945238345963406950/2454976723871553906924854452865851232717546824964964380339457595626599874924347997737724158206626897698294639286821482482871122354041061958573"
    ],
    [
      "-3576110693556284282345088349154775684227671902153970880126569/54654990304424837633130246398660401",
      "1341050325080707887032008529711247271901785950319554336181506856775903034342521138552506950/12777465952778939009475129286810045809073673342050601"
    ],
    [
      "11679288378499096612786510401362031113556473465022612689831170115447738837862321058989883637030926063819215096289/1170537342748640692355423898562849127186758452077764491899446444782112541919294110030769",
      "7814574569964963099335837669644077416433083630765579718341133357003722012451201095341097275655410670306297821043828781761182197468758589278219500304197125015070805380150/40047730511087256760453092488960055453185458040790991540579484700479732577825600909164657325096124944706054514383872882542447962647"
    ],
    [
      "2008304791777172841052063585091934789329116334639507471/109514686300005805371230930641",
      "4450985472986636122869354620900519090413134946898767244661683169245958047157934650/36241698678213400704121857693928699205505689"
    ],
    [
      "1485144354162855407534504938499129554730303932824180638495243107389706460776512292201592427664209193627120884217539269174536660015649120410270694959116718936539067260482666280296345832994411866401/74906835885692465482845894103199685750984580752298042723631981016512942375235442515656569385121134267414544484043058321094509568166955276299364440563136896280387404741225",
      "70112620965205978975681568459201164832463628307827161946764777181554915358620418892558832263819241339407514767417101263123691538600429850557524686707570583675311393455106532074724973126662363456267184628744656876485576063589848396229693440889847567124865782198704021212124665533710470933771974/648309191406138689315323565250004317318795955054995500518128175170773628409460010100904936324547437729059545439353642302414368837430586493323550418931856467457690632433291729938402608619436487372904636634611783155882799264972966601543311680701790241107125"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 17:14:10"
    }
  ],
  "commentary": null,
  "created_at": "2026-09-25 17:05:39",
  "updated_at": "2026-09-25 17:14:10"
}