{
  "id": 3551,
  "curve_key": "1114393123842418818331475764551169219068841018658896:-37269475760616752771524617429286566596923952271445810019002405383038618117056",
  "ainvs": [
    "0",
    "1",
    "0",
    "-23216523413383725381905745094816025397267521222060",
    "43135967315528649041116447619129425396309076715962063324059133067120956208"
  ],
  "rank_lower_bound": 29,
  "torsion": [],
  "naive_height": 352.6241132439148,
  "faltings_height": 27.18130981270877,
  "conductor": "17520269029530926089161437405849872143576625985318044755024027455380276629952648734501535879217339723633268979237181652780523080",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "23",
    "29",
    "37",
    "53",
    "89",
    "2027",
    "5801",
    "207187",
    "978096109",
    "930816669883",
    "15824656786463281",
    "2748676558308079067842987942257605698130032779903299734975499751407"
  ],
  "discriminant": "-2939911787433255721657151074061712417356000983755353885827044835158109976139626513710485798819765818075253329609811940031553740055284450823948000000",
  "regulator": "107076944151424852540593455844453346301684.108342555124137594483858440014946591614917130455935293",
  "points": [
    [
      "2764848409257686484294643",
      "285254214965668257402395557253136528"
    ],
    [
      "4110010064325389142799546",
      "4140394117943016940056277752805440030"
    ],
    [
      "2399874502492592930977786",
      "-1114027044417715372494871487290735650"
    ],
    [
      "-5073131785254203802879342",
      "-5509169746443211674964065267653731002"
    ],
    [
      "326588670862372720921356106/121",
      "-490125924090755474867998987916950997850/1331"
    ],
    [
      "1967913661053525344416858",
      "2251435503348144946923334734003449598"
    ],
    [
      "2568769976138387560270300726/841",
      "-20682166856671764991428797718173786190750/24389"
    ],
    [
      "635018603985335745297789406/121",
      "-10799871450046718000970997737675331838550/1331"
    ],
    [
      "-213364167282366433126349",
      "6933961944899139316952474083068237720"
    ],
    [
      "381482660821099644871006036",
      "-7450368071752901889001583880958109457900"
    ],
    [
      "2368652156114987262694963",
      "1197268923900778682398517008532629512"
    ],
    [
      "23647844185897969573513786",
      "112776217829074579106390239708394056350"
    ],
    [
      "1435249063281768097431245986",
      "-54373647070222572488009803668910516634250"
    ],
    [
      "-138927782608668961903388396/25",
      "91933808246221910959864890791214381708/125"
    ],
    [
      "1197534233092558909410914926/361",
      "-11112115619291920092109956225268329238710/6859"
    ],
    [
      "123772078897282615772586025294/49729",
      "-9731141324468111785096767850900003703855250/11089567"
    ],
    [
      "139128230732643566367591949/4",
      "1626080569201300173464504067864135616395/8"
    ],
    [
      "4586539085989481111734213434911139592/968761842049",
      "-5980615481752789163556551718233154789832522630152232836/953510624369622593"
    ],
    [
      "47768933158588225436453180463774173390213266/17283389062135134481",
      "20532418355727622950400637307586490538504269877751466069229938250/71852744227711682230301423879"
    ],
    [
      "5252255720918168258266337043764366861106342106/1863557582667906790921",
      "-24152774149250547962588895931137122680116782113458896885177229615750/80447809831597094043095177704219"
    ],
    [
      "94668337705913562446262001366749950001881544/15458018019542646025",
      "694677006612486531830877581357623095302629628068222384103591648172/60775804142960097835120545125"
    ],
    [
      "-3849272656000827775999220273913154375011924455654/2197138305111659675036881",
      "-28842640076530989225912087353437741792934559483862775784160707289415521710/3256762536039496293522434146770226279"
    ],
    [
      "2945575977015281393659820313276195005165376314458474/1052326076361209528270261809",
      "9741807683824754580757466306357198322528918543027652660037965585522482047550/34137011492493630366386204234740360385623"
    ],
    [
      "2156983415076784750686802328072064766805441387195242/787002652933648519740422449",
      "-6732825270258837865232052411885016580117959750862377463558180090079688110786/22078232095238054209096308007185013315543"
    ],
    [
      "132943550167355892661839863485780214109463324794868/2378295189663468236495161",
      "-1527339146123312197654685206006779186217855792506916402177458756990583889508/3667740798308322279627463721093324909"
    ],
    [
      "1544647744008530621400007590838024213372298784629506/2031803895107045707397445721",
      "-466320973495970530766606760033513354141348346364659372794657266323280927044050/91584648478871937444784859266863162330019"
    ],
    [
      "22191179022824432555665715767084299362462705432472853/7944696353760908857555447396",
      "-200325180727086414392032748511214451328851175105843945506566268478292652956743/708134827991929682352648784668087966353944"
    ],
    [
      "119916150943577192550926511234451373265214752111889378/42912577134028847392950327121",
      "2518592590779545725525653124476736679692442987188803238599889855552993006790118/8889491020864077406488833675940018152053081"
    ],
    [
      "46303457786756275214094517359504341750215365895100272753/36928198892707086169874204606464",
      "897535323480613693848708040054881769142534194820820355984102083424609738457481816585/224407407924681906610352240240307184032114802688"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = 7258/7029 of a rank-17 fibration of X1008 (2-neighbour of the one in curve#751).",
  "created_at": "2026-09-28 10:41:19",
  "updated_at": "2026-09-28 10:41:19"
}