{
  "id": 633,
  "curve_key": "23126663961688351463960715477847753937037441978045290188561:-3272829155988009814386540164007895490751049812107723611416557827871585476063041540386809",
  "ainvs": [
    "1",
    "0",
    "0",
    "-481805499201840655499181572455161540354946707875943545595",
    "3787996708319455803688125189783802656028376487166414974768271061303274667935154635537"
  ],
  "rank_lower_bound": 28,
  "torsion": [],
  "naive_height": 403.16500960971143,
  "faltings_height": 31.552693535952653,
  "conductor": "23727944441030864096387213834241233762298678396410694856785493478043111120631688163839202091071874835260952486380923333121424867763048615510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "61",
    "2326213",
    "1090103210268297832166736343",
    "1187649827402758944777770290888217788786197111743684246462657964572153633268054931909852799285383"
  ],
  "discriminant": "959325274574349035172855059523013726376419182426964249365279253580507069051245828224353946745544229122092494235923478613464653556024357401055854920726612835722027520000000",
  "regulator": "28246253120457840564234056558843820.24889934408825780257282227338593219387293734215533893057523",
  "points": [
    [
      "-5030557969202041568769805986",
      "-2466666033103699497813579954570405824753007"
    ],
    [
      "-13330385101524796871693565186",
      "-2800330557091905653059249778085715879958607"
    ],
    [
      "18874756543359950688711518514",
      "-1190919258038873007063041426319583913226507"
    ],
    [
      "9838925072495701984741702014",
      "445828088305126381716874722595898130993"
    ],
    [
      "15897005849758023435243785742",
      "-382283197766764490017955850041643597037647"
    ],
    [
      "9732959892835515496571821662",
      "-143566521564562084134460411529288540532975"
    ],
    [
      "4536451925083593407969608014",
      "-1302177662556781778426522289726257771387007"
    ],
    [
      "16890495640267696615369883934",
      "684640769353872041627548763311014584628753"
    ],
    [
      "9057244713477080063570435214",
      "408858812498608043244029071208154267926193"
    ],
    [
      "5819217226160826649751154137454/361",
      "3143639339040798582596238035413638506005090587/6859"
    ],
    [
      "2001800416460434509568733154",
      "1682718004841167114744476248589040004698533"
    ],
    [
      "37573181763369772614130398790138014/4879681",
      "7881736215612645347407958099012740895441289683504817/10779215329"
    ],
    [
      "4050223562605207769311149382014",
      "-8151023183145666494018301927963158303806553007"
    ],
    [
      "-39440331810460955485439467874/9",
      "-65109958261754785928968978826669066801927189/27"
    ],
    [
      "-18031611030983056288197333666",
      "2571564922166951024440952365137010267693713"
    ],
    [
      "-81841104665081238368795543217/4",
      "-18032379979177667818711137227937674709986055/8"
    ],
    [
      "36905830779936147891064447134",
      "6022773031960963795545324546427503737802513"
    ],
    [
      "49193227880102142623072448414",
      "9956542832134583177033871686802245726445393"
    ],
    [
      "43006132871869880890693007688294/7921",
      "-813663434148816056982378180583280577243248733183/704969"
    ],
    [
      "9375122786089247615842991514",
      "-308249865087690935808627603779269218993507"
    ],
    [
      "1770964456826009268065506216083204/961",
      "-74521929245407280088228461571789921412260441731787/29791"
    ],
    [
      "33682545878898396232395394166092608/1885129",
      "2432838615897071755321301647959549427733904238923405/2588282117"
    ],
    [
      "374481703627065402516390494",
      "-1899374075895069961302458176327591473577327"
    ],
    [
      "-18192074787876289776790301736",
      "2555844751922171030806993002377658088431993"
    ],
    [
      "566822251975266643947464288604/361",
      "-11949951490288362022664146341415274867370657663/6859"
    ],
    [
      "16171390079703578401028073814206/289",
      "-60578252746152846129584957057086020018125625471/4913"
    ],
    [
      "-22442295740975853487199583786",
      "-1815931437670275263503209691625348076387807"
    ],
    [
      "1279901758816134995231552705610850566/5640625",
      "1441432899684029337412961710357192965739495716170264511/13396484375"
    ]
  ],
  "submitter": "7fff-zip",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-07 23:04:27",
  "updated_at": "2026-09-07 23:04:27"
}