{
  "id": 1766,
  "curve_key": "13201840318495324319029619618757202311453513522377766014821441:-51505329695379540806109487173240584442160395809856649365942025769788982118423714775621745761",
  "ainvs": [
    "1",
    "0",
    "0",
    "-275038339968652589979783742057441714821948198382870125308780",
    "59612650110392987044108202746783312131577144471502436269113298572131715102014060331712400"
  ],
  "rank_lower_bound": 30,
  "torsion": [],
  "naive_height": 422.34868732201966,
  "faltings_height": 33.14987609859108,
  "conductor": "6893044055598256645671515562881907419160641538519599205808907767947762589243300583832909942031401879816605504128181103608575365791308718370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "37",
    "59",
    "79",
    "137",
    "96572780501050022595907231",
    "5261196490625091504975252892910823676971962567",
    "2573858763957556396344178983707175842652181078971907"
  ],
  "discriminant": "-203627825013575908920095567749048120946102982394315930875640504136138240739301619225342479297703586394101480673114378333663027971901391536620378838140967239789783025669091328000000",
  "regulator": "460185425082960917228782001365835826.22739684768143420246344455972616644161520329461212094435579553",
  "points": [
    [
      "471563690884904955224863995491650/169",
      "-10072047507705231889485512649239364573101110556960/2197"
    ],
    [
      "-22915390600764767558219801594741499239380539156778830167530499710760/64030420648648925467082315761277122129",
      "171628134294567445331967455761274917818819393040353651193684451927826923201562422895394558003995528140/512365091159219860352448332407355227365765062690864227367"
    ],
    [
      "53677266255778266292592247441638680/12769",
      "12344008975241369627732627235657590704990572897558740/1442897"
    ],
    [
      "-82455030832467814197090869928",
      "285885198989731835074752300526642475484548436"
    ],
    [
      "-99798088876668699727491682538",
      "-293371770827693857735727513991892030981753958"
    ],
    [
      "375809627662244605270335233127610/841",
      "-3928059409022593963693137745967277786794952513970/24389"
    ],
    [
      "259510407197067898133040538180463512/2401",
      "132198664099624867197104384439058674074731168956896404/117649"
    ],
    [
      "308364536451084784277048365336",
      "64207156090565881344155931859721629633047892"
    ],
    [
      "271766943300566278848988611952",
      "70272939847610783795211853203103207345887292"
    ],
    [
      "112194235463613794927546862610540",
      "1188368358129178580532226492442964336365505962320"
    ],
    [
      "-4300947081393673194749168508524/25",
      "39890054559664626298504204331653835463849754484/125"
    ],
    [
      "473402056189827798154850475697240/169",
      "10132269828908679624459127481316356507483030763940/2197"
    ],
    [
      "1537663447781351732473514934255760/1849",
      "50661931403327547527316669141505098532960731282580/79507"
    ],
    [
      "-491830095937901879826841297800",
      "-275522477506058050444022314718002298000511180"
    ],
    [
      "73896457436510234194588689832240/169",
      "332836657970243833714569777994490935379607168940/2197"
    ],
    [
      "456217938514050371672726691160",
      "170558079294578952902092323942107379181716820"
    ],
    [
      "48801210955954781661998752679330666795298536920/13935048642895249",
      "-10666669402943093985485246946481724899372111826297703096416041258793140/1644987997683467379919943"
    ],
    [
      "-184435229812629280271564086144616425167821401382139824174475544979518943981531972331548643090644955929099031103149302573480/5183433275079371306773365124720341314898720882420429280321376595499016663743219756925430183121",
      "98279241103146595876982890504012485074249216604871775856666175711436535705101151947104657556210590019051363353798940329097460900360579825089054302411916370419486082276247022330149853260/373186795381400162863852234049935331297682085444651523217790889127592260372425401635367416263085522784336819192841059033581278257852035145831"
    ],
    [
      "-82802652266583170180098431421034726148782204953492921721150295835265425549645234637960/151369978344149116315224211352979872504588177429282884441",
      "401065073862601273467385225311547565648713318788006552614828785571387232643858518377298035108870978445388483364599110999941483140/1862342795448699497760234959027384750973451467487869437592921163412974570606936855261"
    ],
    [
      "30746689341578495521874701485022652952273096800743170/107024026091484022099489",
      "2298207402364438913456783181844020638913334523940289494849484993476808207739010/35012403651796129629842669998973263"
    ],
    [
      "1363951589765743743749801257363493315293044760/4118083958945401",
      "18405906848832988781871893840840605787869551139450257292540936817980/264266915120547997646899"
    ],
    [
      "-1959753034197762122206590653572026900137561127456375432941843271539821880029037409800/3502188439117654151209174977085768558500071350048599889",
      "1282613633868310792482706269951733088879166648586337701806263496611572065612940365619178470496292840131124796966138822342030060/6554042678785774373633291432328858507327112929643320581151357668275527498851525287"
    ],
    [
      "46516181292613370260160196420130320750736283534994470828069312080801990721755988040146704982885099860883781238884767627402731194659626320770561912347645052911968218800532464/74446862405675108681682392361498943405051465710143793577545847389357203423944424611565467436554842275402001249098898929663427622861821425974849",
      "7371513407701076387299507612069677721363190603379114725836886804262498254797556434325942541138703465479103299318597223345570246539491588101564061976162947913519747589318550499957119295082346772365653259287516166734819008064095039690172444224288030930572237884/20312790924113155775337398414135293841439743695430193798203835497651971872383422550136947609873831011586497084389177397012197122090878720626112284621225357125447819172765853297587919326692956546321016389708477244257"
    ],
    [
      "73903775161500856916486722072281102750914164283196951007045171067649644752591106568/1767985543543922644259512617480685698054276746866693369",
      "516049106352289469131786870327913043976134512151215542094896040162805242046371460373146106467073495835209399469742180434438292/2350812895169751839226119397345346144025512608388413179196791610075073745431699597"
    ],
    [
      "-1953967965357876446418032639834458397872906860386417957163047412539234874576176789772054640112458941541266399151340/3809723237828822464507490676042169139620117365076937841219302294004708677220625299001",
      "1906845559915101583653872254538158130015653847659933092678412820618208331461843286373151771558518423828859205377423529911270920962598712958992372528664421898782583871587020/7436013001160423077435759380963805777107534812924260576260715986768077987761222846994670414089898500915329284661633973803167251"
    ],
    [
      "1561763882467682364336315841854866726889530641513273192452750849748895140660/1234970593418557025985424224296812114895537881",
      "57153025709505863203460563905938293080229266088367402667477784409731963990953974326821045805688741601635036397580/43399519850389108248197158992966604610227488468741111855502583639779"
    ],
    [
      "-2541309904059343700103312339745557048559789438046141728528714631338642280/4864256377212298416613913317890761776102849",
      "2643218912083849434014244429124962115603418365559553759287900841452759387015566083337849433456791327719477100/10728146251841153559034384696804119713551935972710851504525499743"
    ],
    [
      "-46495565667353777296384630994172352921718734491460935338712855559182329286906932203032220760/940358169167165523192123690124511605950985387483829506070486329",
      "7795996577549700699783755117641570013544057939515382662658205892125062447908779603442674199096925612137384879977072081307384619491934716660/28836327724562981594943116360876957626346534050802273210866049368379704098794977049390645722733"
    ],
    [
      "-1205129516223012652067641880049528273793859434578563953976116963370326202547002542479049128492010181869844637450533480/2633156551588467468171344327052769024914971710777850855131462348717043322021261042433849",
      "40450657290952233420387214293444341681824675739439513683216753429223653194134231372096170944631426987576806775360221531683406746265286536020794838854602649885522986226479763140/135118563865301610478970069986124478609395100112587286697611959789305419712292780138796022591884355407507947526372126376268135099757"
    ],
    [
      "-4338571254187558218922666159286331060924884924630582221717944997901333040894146/7660687253877441809461709158159319738193201943225",
      "3893998454587210940463175448401551727653684919558092463032110006118121204210394469220177919075559616657956326104666022/21203209237165571953571050689931163397803136635021685372776376746532897875"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 15:32:31"
    }
  ],
  "commentary": null,
  "created_at": "2026-09-25 13:52:14",
  "updated_at": "2026-09-25 15:32:31"
}