{
  "id": 1677,
  "curve_key": "353344911599186308256549335294932638956088697025:-210807545954011469988780682262163315289707710421621842166138880999221025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-7361352324983048088678111151977763311585181188",
    "243990215224550312487014065098143421886858015737984837693495887576592"
  ],
  "rank_lower_bound": 27,
  "torsion": [],
  "naive_height": 328.4586340587229,
  "faltings_height": 25.19452570490067,
  "conductor": "101376256245105340964767638186502829488636494478626649371283652035614376862879389493617955234108114105620399219650",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "23",
    "31",
    "89",
    "2259144926531058363447311317",
    "189551887636872774995135362742202519366429239973044915833417532824951429969"
  ],
  "discriminant": "-187373344238225155205362228497376101216576374312921318788656213705625321395155720765953411121287526813986687114598412946636622848542720000",
  "regulator": "1197652505753154747061657775156.1040038274864023173358628566972060880911298328911184054031684",
  "points": [
    [
      "4920109960202053752142572391150869072/83195176657321",
      "2985833443278560968891636758401381089162669122440602236/758834770420980208619"
    ],
    [
      "11058776645273702937162857517/126736",
      "-735904912241534624533095570111894276679461/45118016"
    ],
    [
      "-464414949002801828941927837908/6145441",
      "292532784606031809793363258382041610952312276/15234548239"
    ],
    [
      "36058062428392491179504944/9",
      "216473528535160578281549826217050952660/27"
    ],
    [
      "-105380684754469914550824075271747068455141966999778071361268512/6784727617301749103539035921789364846129",
      "-10523392499629551193112738992274270928657322114150458108916800792715394959698738105787043399292/558854336765508512924526143565215065237919779127968235336617"
    ],
    [
      "1478860111238650093449628/9",
      "1590715864542254894089547065684461128/27"
    ],
    [
      "8481337339797285081762",
      "13496895629090939128130303804270454"
    ],
    [
      "71079253381064894447308728/289",
      "-566832195376968712740395322393426702468/4913"
    ],
    [
      "-16089362332396723924488",
      "18927880645834958227557772742260284"
    ],
    [
      "48270572852347190116992",
      "1061264851879872472901969119403844"
    ],
    [
      "4868482714015687202299815768/97969",
      "-28996736098800919431795608706592417498212/30664297"
    ],
    [
      "16777200202698852802720508448/97969",
      "1940722941169026263064750524741079307052868/30664297"
    ],
    [
      "19608302382179248467642",
      "-10353052751617332416302761010427106"
    ],
    [
      "185305246843794209953308952068/4765489",
      "-42309014636792849128324684143544072110660492/10403062487"
    ],
    [
      "11734352855594373888920705988/97969",
      "-1008023016161233595305767623303589278502192/30664297"
    ],
    [
      "1827291908550690087916872",
      "2467410081600858633481840748469481404"
    ],
    [
      "1682609641820407275339144/25",
      "-913610044911505323769708247578172532/125"
    ],
    [
      "-46706519413770537810192",
      "22043664331870920484684822253803092"
    ],
    [
      "-201185490792693895731011895753/5635876",
      "287359270455325853697593953479737845880953971/13379569624"
    ],
    [
      "314698021977603817007969876934/16785409",
      "729632323929320395294436549004992481556080162/68769820673"
    ],
    [
      "136934010822531304831382639508/579121",
      "47717478158114659340326464856088763690302592/440711081"
    ],
    [
      "-12933871783136218171668930125652853461853368/132338224929966141529",
      "8325642417402493053510136814367040407459484865625440739387304500/1522397133827994106838577842083"
    ],
    [
      "2582807642406491814660894712884858238723964104/162759934894570682068449",
      "752036774151964250171590185119415624618219689850538484971245632779460/65663081701134856098082917350220207"
    ],
    [
      "-9339101634699891863692793938915250181343665196304059723273/96562103839281392450587744027601764",
      "214854265591815605622321844627096738675888771087509523947491986334471713168419084488465/30006136393083265575706608182363428883506103738874088"
    ],
    [
      "30021371573060081238552",
      "7074607138195577706958516849882284"
    ],
    [
      "9307440633976796992259832764992932/4091009521",
      "897306622355866360589894105097079009339022715078384/261665059972681"
    ],
    [
      "-182505419892217050888931104471160038990007902/7125352696909141671001",
      "12263619712695700114688773744429009726184880943410721391499485038770/601463877070829399464963455225251"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 05:29:50"
    }
  ],
  "commentary": null,
  "created_at": "2026-09-25 04:08:32",
  "updated_at": "2026-09-25 05:29:50"
}