{
  "id": 635,
  "curve_key": "35341247701321182682178788142770503720884352274912962961:-204302120396328417997744674089224951618247424527489692202697172393722166014048794041",
  "ainvs": [
    "1",
    "0",
    "0",
    "-736275993777524639212058086307718827518424005727353395",
    "236460787495750483793685965319691064891511169565071192116367380569902358335277025"
  ],
  "rank_lower_bound": 28,
  "torsion": [],
  "naive_height": 383.7139373807607,
  "faltings_height": 29.887192664057906,
  "conductor": "10611483916571002514287713355904577915721002528082815600145909332427283297975576122739595921383606478642086875462261937174909193664770",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "23",
    "31",
    "43",
    "47",
    "61",
    "1699",
    "10455481",
    "4157426085193",
    "54434366988506808806427083875088521324154896450993280124197559455450139904801521974539983675371909"
  ],
  "discriminant": "1390043918718815135469996245601753287278418184236083220029598093810234261782932889760212984112819264444525897052068138418307972343652111633967831127068558080000000",
  "regulator": "3434664801421129234764751200030869.174570506610239478362332417841390255570178738119956049268870",
  "points": [
    [
      "561210990607913885365450530",
      "-111234544745877821268276835067726809695"
    ],
    [
      "2764410017544038207193693135/4",
      "-60770955562362582251308624795192469220135/8"
    ],
    [
      "229743569625540704047427253150/169",
      "91850281644285238807684738076848524542421165/2197"
    ],
    [
      "-698375089293784609572307698",
      "20249461195803992217699611080290065342361"
    ],
    [
      "637070554719538358407742190",
      "-5095270452140174788213006347944522797095"
    ],
    [
      "882607943389663264238649390",
      "-16557973737582881118414714901976038141095"
    ],
    [
      "373174713987407387579194590",
      "3697198752011049126116436080455744592505"
    ],
    [
      "-6383832319617319451907450290/9",
      "541238251990158430412857291984551947882435/27"
    ],
    [
      "-221473997474584937400333810",
      "19714545733675219690822799925774220138905"
    ],
    [
      "-233466778553108357200299150",
      "19890481634817199228190502777831573192705"
    ],
    [
      "391183666321844262128846790",
      "-2881387282773209272670160143921100763095"
    ],
    [
      "424554410020094730478022126",
      "-629278426882793665992682709850137128903"
    ],
    [
      "774090890168299398272001630",
      "11417724887261308493527637485239018685305"
    ],
    [
      "2997875574145990764757495170",
      "158024928669309248624408570756839655360925"
    ],
    [
      "39841626459707163868563293310/289",
      "-57626297804412968931462110759725510732995735/4913"
    ],
    [
      "677598741481844627088419982",
      "6976662797734869046708398007952051593881"
    ],
    [
      "1672083123279451221560932110",
      "-60665144368190163947617193890075695835815"
    ],
    [
      "425198826021042754615919190",
      "520109195372151643403658011567501440905"
    ],
    [
      "3828951772904910168543861310/9",
      "-12778798201071097614124150396228678182365/27"
    ],
    [
      "4049351053813834196089302990",
      "-252295893571834384683672996509362796629095"
    ],
    [
      "-354232967866306349640935116710/361",
      "-25776765107160326880737447944709194318854405/6859"
    ],
    [
      "-7602161993142061072923326824665/77284",
      "377018938225188204882869874486088933416669607935/21484952"
    ],
    [
      "21599470576527303467140833611038782/56235001",
      "-1355153263752372308945418796227847501871586922805637/421706272499"
    ],
    [
      "562926805877839698174003330",
      "-612575970094729541120584706188143889695"
    ],
    [
      "373696001214229290695332440",
      "-3674718232791773761214382216395034336345"
    ],
    [
      "3219772911065348633865937299630/16129",
      "20219518208335467420550637312096261409067512615/2048383"
    ],
    [
      "150947170845071052200535573608190/259081",
      "302480997267048234924814564573953133873774177245/131872229"
    ],
    [
      "-85083981768884964131781218530/121",
      "26835561172188187781658546775298437824209275/1331"
    ]
  ],
  "submitter": "7fff-zip",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-07 23:05:25",
  "updated_at": "2026-09-07 23:05:25"
}