{
  "id": 3572,
  "curve_key": "1190127805694732318966996082693903821169041899161:-1296416615370927365622632478486321143643032732230308449332880822331217341",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-24794329285306923311812418389456329607688372899",
    "1500482193716351117618793789422970798539893615408195106365828799791393"
  ],
  "rank_lower_bound": 28,
  "torsion": [],
  "naive_height": 332.0944354944425,
  "faltings_height": 25.462638182510446,
  "conductor": "48870518486191483035882278115591920792856727239322199690390853187559029695258153620208499133858228823266533413910539345170",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "23",
    "53",
    "59",
    "18367",
    "40654779608484678938197323695433999938708305972688056492264392000687382635425109705015350126080846450432014241"
  ],
  "discriminant": "2896976064029638589863594830450956003042964961982769618885733767896668380360994711391063597998656190315191882813947185657382703099264062500",
  "regulator": "288028798150625017872071185409507.2369990461058676370263178453980403409185510111869036851639007",
  "points": [
    [
      "-16407843865143959755525943/576",
      "645989892436298713126814298496569425191/13824"
    ],
    [
      "463855769378190861617987376110277756712/4112710897637241",
      "-3106681981081036463960948190142252039725385987006673720501/263749881316764170608461"
    ],
    [
      "5744788041964251743581132",
      "-13764154339238326601736571523959855741"
    ],
    [
      "-5402694295508491705546508/81",
      "-38969275705651411706249530584010561639/729"
    ],
    [
      "-71589464929551961539076398/961",
      "-1613705469345740868538722012415144854631/29791"
    ],
    [
      "86146939468219102753112",
      "1961753359800628573425830348050279"
    ],
    [
      "962289129664364519548532",
      "932052175506121018062150366191478859"
    ],
    [
      "3250921335891477356827443/49",
      "-4166096434822176874928574190349150738/343"
    ],
    [
      "8416608603426485700196574723/47089",
      "-538671577178101478049679404739748474019758/10218313"
    ],
    [
      "641255649952769874902257",
      "-499290446810070832315071634894052491"
    ],
    [
      "1016243682147885184349473537/576",
      "32271564327142874659048736673219595096171/13824"
    ],
    [
      "103590894007698330228607",
      "6607339536194881905729469149284159"
    ],
    [
      "470754920114113251321161653/729",
      "9934908144840563029645044662332091157547/19683"
    ],
    [
      "7032600372046474521598283233/12769",
      "-567898052245299198000219399019386910929227/1442897"
    ],
    [
      "13782862181797235419024503/4",
      "-51116741071170801998612707377303084253/8"
    ],
    [
      "197802726414547381989711619/900",
      "-2204656953386747319577760340426254773513/27000"
    ],
    [
      "18883310213494419251253933946046601493134541423764115552094008/241311045686763589683897183214234320729",
      "23540424981039262873181957491653307546694243207279078296485014329915877279351945952788942347/3748571529732673851857802907475814562621486643385787635933"
    ],
    [
      "189074066147011740499520573627/466489",
      "76755268898995643266783136399849629874351462/318611987"
    ],
    [
      "-502237099099554454739983923304265612049848/4191996757960630161",
      "450195692233071437548814420574358090361397691417287277064187169/8582847719281835047474827591"
    ],
    [
      "-22808937421743115092817203990253951228/130315489567561",
      "32530972029997353509230887114002021002503505369125514599/1487627026713147567941"
    ],
    [
      "10050670880478541923822203641191553054915012889077469654143856032497336688/191938284475143878992499422563607728567285364631209",
      "49443852907067584086302828860338736637855433295431475723816143343847575202446235541024666649670626813155794043/2659147410414155690787717943510509007142898174699029157043045272622038520427"
    ],
    [
      "12443775659486764430343003713775492919239636768/340396963006642030686649",
      "5035738370149100459769586338911439021718477981403228160386581365063587/198599666576955648573808679784270893"
    ],
    [
      "-14413539299026867516447875465706191262002062889792763768/96833795615986058122553039608561",
      "41461149512592484841681425792704829256758970881106687804543150521437849846690831319/952884873851678831774015818710496693201111643191"
    ],
    [
      "201428199233741632800823979133312535225729/2315381764812276736",
      "4840457931956638574946612713202620317762424084412198181243345/3523172544430449015045718016"
    ],
    [
      "18439334551429518380195360843281457479476254144579103948196/236648513945309316225241022144694225",
      "742601302148489566155190401286293596752967134687205169130437123166129969093611672872839/115121296616387848387676546749355433166445734414950375"
    ],
    [
      "2861792734784787876458173646194003054507145676/33647553673105353115369",
      "16245068722237117587671576496903457359865699623023515781666314661285/6172061457581792873250221803028597"
    ],
    [
      "8935641584507238525433050205724705447424350232800867088046012793244558253662902805072/85160820834509014141655139351805560256341669508128858507747721",
      "5780252442000746703820655314242219004839523232537066901297842002273007783269808306634991425631768814636700961144750775930241179/785886372765970563455596707840432665370464090310585583920946483404925007689361570041074802981"
    ],
    [
      "12617986984190617973462420919347893447388925226547/121439239826295486014251396",
      "9076661187325077458326334679217811720823655881457931127485152507771931771/1338254030374467644970752924936414637944"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-28 19:32:09",
  "updated_at": "2026-09-28 19:32:09"
}