{
  "id": 719,
  "curve_key": "170477146585256606969966449344053952913902717271036346093252620801:-70444706399394097803716228739103329061896330625205521983562910566490569428182573576205132656610049",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3551607220526179311874301028001124019039639943146590543609429600",
    "81533224999298724309856746225813742298815338819785957215149183432362498349660494238062491640832"
  ],
  "rank_lower_bound": 29,
  "torsion": [],
  "naive_height": 450.60599404625174,
  "faltings_height": 35.31598657518399,
  "conductor": "587575481832992391446154649680201692961620813501573686240973661284313372466785760521009624673554434692223882893560045777440468013208184954351010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "23",
    "31",
    "41",
    "43",
    "59",
    "97",
    "113",
    "19739",
    "129341",
    "889901",
    "2554703759",
    "158971371562802259490360346753",
    "1049887118386298045369042088879076806093461790304286330478999156595444229"
  ],
  "discriminant": "-4613328126804252581339826857048998921834011053203802129280856963500585996401945075781919102915480977988569106144515610842544802809630581755972724438548189823128617827757439303465472000000000",
  "regulator": "121991668645210086402623964520377866.098174186098732788763272069104382200844695041770921821907863",
  "points": [
    [
      "211204419955748712055095281315089867591448297866/5909529313612369",
      "-7198444620421489441380652282548064012887556575556695794444622870442684/454285983037395844663847"
    ],
    [
      "68201263217709176372602585984293576510624951990779776/40495032524802723169",
      "-17800011195522601310730851824133176759914360057030536985496575814274924475847456/257693003968697835856160305553"
    ],
    [
      "4059763839123891246810980862477364326696395512136355231394625768704/8342410588771773151908421598601025",
      "-8121305069685140929870135376171770777734525909272828689212869151393649435493221870466276265829518752/761969067120709333771670198169814346307211435801375"
    ],
    [
      "26746560871230499958349095748112",
      "75325038162472149597052158508275968789089529680"
    ],
    [
      "2369814801160061329598945745437525448916264/71824536001",
      "-315563736295335351589277825395074524377930979011214487555160072/19249047472804001"
    ],
    [
      "29630627667206531735461101954368701051848133250944/962621953877670025",
      "35023521686051605303662862381237232256044951809354274866392571755489033632/944460160660750255249974875"
    ],
    [
      "16291818320261887209968990745921474078661692027715975051194399939484/49216456375798209158464117752907561",
      "-64759491702952784404568036339148769913206024350619434884611957447983060840462383594833817548063090588/10918563681221502648085411144829008723705416043028309"
    ],
    [
      "-48970520104559582048252941608602048/841",
      "-7353520083045997748720599646062324437810169160457568/24389"
    ],
    [
      "-25588910236105808016759893026362904631651158976/661210258852081",
      "6822584204810411048823938025957364701609627466021311348476269300156192/17002366547014740502729"
    ],
    [
      "101455461840687968320089471024751013134809902634639619216/1178087222615497265003689",
      "-823113352298232975345058119122161035244722699269273323849485774424583777241814135184/1278692649220470673003971075505153387"
    ],
    [
      "594914425261993737865754495423872",
      "14440312743765898761298786665899494018071170589088"
    ],
    [
      "1873166205365506329032652413227895613790798641948976/55999456165669162969",
      "-5289228644469425900546171268347062348934535270142633943764814584760560650256/419059522808278746921756599453"
    ],
    [
      "-41816231452072725435127548693056",
      "-396141778648188748108491746517653939885437320032"
    ],
    [
      "48922163632303091717462295082432",
      "-157702727213182238304933614828099701721246088032"
    ],
    [
      "24195244369969579128980377236694",
      "-98819809617412307619326268025449894991498483412"
    ],
    [
      "219243316225778945106088300215013620756672329744704/6317965770953847201",
      "-137045486222208691629502695292098237790546825897228353940123001818024860448/15880563292244010965741789199"
    ],
    [
      "-1262959012960911740861131874512910609251742116544/30711480516029569",
      "2139625550559917034687660635248328914272370898872346257734728668703787296/5382092154093828983970497"
    ],
    [
      "4679763959084116536113346462870077727616/16129",
      "320137031396122757528411811223160723095952909543440539340384/2048383"
    ],
    [
      "110978027105702388159368038311177817984/3845521",
      "-417991378803773844807714778043465151474597554695764961312/7541066681"
    ],
    [
      "50289797083295859910807043047776112177156969306/7950280775936409",
      "-172653786111061500419178484602358441540667855095821312674453823368734226/708881593853023222009923"
    ],
    [
      "75604894593878601837181936738369777168924372814970556477265815157432407802235044584/1485652027954707648171458252167058515839138030403921",
      "10337020764920318879872646295152754354861287738076100386276754155765887029725279005370511498146419949159915969279634349429512/57263204803059925354320339272201750787860833882638954990216174554577218039719"
    ],
    [
      "4804965360399968281042049219073503825489738279023116958954589632/23315769346951651307123545614009",
      "320455683548432356587392710856753789745031401094622544160691647604531025127481012459920393255648/112583468806104678232739609708333179217260080723"
    ],
    [
      "11029674372790525209215151685898182750068784/261694656721",
      "-10968165888175716221591050130479133719166383680803141062035032912/133872780286851481"
    ],
    [
      "155360993467119093340925655608860882568363693031886/4563829418514779449",
      "-86801704694974057855705386691417541116246565799419989199720203136091961246/9749764041055893295333489043"
    ],
    [
      "1984658350209641117703534011045884972780647941872894167491056/53653626876052695625676572129",
      "-345157569211769783489910619686086460968839671906160783083535698187422173763635161643493536/12427925096292726145736263479527114723966383"
    ],
    [
      "708658975057451442227117396298816273221383112591316307972333919457652/1216122219519351811077767700379007449",
      "-18769951926540385000981494605013844271899668049753117763289287709586347380458956010610958744398732719312/1341114429260624383702334379498766378466408660135739293"
    ],
    [
      "40022358016961989867565205457272253160012655638551102893636095981896508031694164620149931507636052296564576896/1181117702139102936009874487750124932969858145935540184625330774389821175707449",
      "12413769941134981754915716128277613465510595547219066823241400338330216485235575851098298784740070392320832467547072210158801952933869599541787502584950102515020064/1283629732105537206841966149302675627594880129109988287875901894307995995039488686355033030737018871823198231518589293"
    ],
    [
      "9385959368186833386864672009574658176254683314023546005498584522169133417523114576/113330056334856185663779978911792719374674205748449",
      "719303619484773760855739308100616389207170031405399236518524707131993480393732878812565254806681865088084831703890130920944/1206473138399765708852772945113737799832334396812279409424838509047672138543"
    ],
    [
      "16023322470284822188132696270470714886358492966758564765281088014933808352912345490796/289491885824787881975519046549268350607004711899568089",
      "36369840756873947700506187491337654575012350370926769035436519456736229281679658860625332252191092304677832949538589007527334736/155759517458876817154175168880548501625002957665643332412625404861220895243321187"
    ]
  ],
  "submitter": "7fff-zip",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-12 04:52:56",
  "updated_at": "2026-09-12 04:52:56"
}