{
  "id": 1984,
  "curve_key": "3730394502695241014301221194867251615825:-227132398468716839062433596459884657316893135511857845585625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-77716552139484187797942108226401075330",
    "262884720449903748934282837641219029955148878343472775297"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "naive_height": 273.35199785888534,
  "faltings_height": 20.59598139537479,
  "conductor": "1661437540594472610170289527190042676788121744515052516330239539754449278718668745727350050",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "19",
    "127",
    "137",
    "223",
    "227",
    "307",
    "337",
    "461",
    "593",
    "1319",
    "522283",
    "363990268427",
    "635852046329",
    "5718659700887713323405615272213549"
  ],
  "discriminant": "186607833959249791149151624223480399920806591732830448743988446899474164648103015342472295275012266652398336000000",
  "regulator": "10070069179426259601301122.041050573966411878950078717422977677792381946032473127235616",
  "points": [
    [
      "234924095309746994575561/59049",
      "58574759678121378797924654058361685/14348907"
    ],
    [
      "15523172430716483116819/3721",
      "762099161243785692303029896658355/226981"
    ],
    [
      "4555952018379429739",
      "1838031997695471955707036055"
    ],
    [
      "32498574735921376641493939/8208225",
      "-97668012064451403861079209040646672267/23516564625"
    ],
    [
      "2699593590567990015/4",
      "116135466265657241310043628743/8"
    ],
    [
      "5265020486904702689009/961",
      "-37070544481732502402498153003135/29791"
    ],
    [
      "-437572974448625936028139/97969",
      "699858216190290908678375796138282955/30664297"
    ],
    [
      "43705138586800654441/9",
      "-479345452812933726235703675/27"
    ],
    [
      "676012925088992317921/289",
      "47606259163418433381758367704015/4913"
    ],
    [
      "3082860072992082083",
      "7252244330010987227590261045"
    ],
    [
      "5482355863908803489",
      "-1262478108865086545533764545"
    ],
    [
      "426697127887966776065",
      "8812266157108379451770344026623"
    ],
    [
      "3440071116826283802235/324",
      "-146921816663904041214035336565139/5832"
    ],
    [
      "459838977602146331473/81",
      "-1571758627248895931433263017945/729"
    ],
    [
      "-9309000242027914511",
      "13403490952028890945823543455"
    ],
    [
      "4213063250475206907/4",
      "107984293168680638407680685585/8"
    ],
    [
      "10941740004972680029102088304014350219118361/1591776627295787888166649",
      "-14684487818404739030430607086291241627783621978618039823666648685/2008275015045721564941950523680810893"
    ],
    [
      "25184158344506013582744718990091525131189836868030219759786088725643/7812690979443329624648893117383011019155257302361",
      "147884449334753028552867013561337067199018928584328653287376509804832456152968695935700980989277462239/21837402053322731539331668212770257378219676480247208178760971959001613859"
    ],
    [
      "-14460107794708692904419276376653437166345571925175728111371633499/2890174168082931266810614135466773506072861649",
      "3565129549383674947613841352822273633434688745364960216264672239529898227665102291889106051100875/155376746235535296868451450110806204921926490652878624449431343672857"
    ],
    [
      "5992152736747541228444396500504512231492642342112014184607029682448676330793945842329142156363501468989/626232632896237739930407572248312032765017478275281968583156186218321449069466418881",
      "9853260793014211098949497607185026480552864159496772863639694823388971856473186980304397101974913060008401500519777292183745636930244197517239563299661515/495568327673241028161718589224466822314842847731666635887502738244479545456863441934983321149650476192067652500237554894066721"
    ],
    [
      "4395655030859740849736501691783302327973683161/483281394231471319920587449",
      "186593755798531595556647420438506990929671506369002669815184685235565/10624294813992624061307287632760341673043"
    ],
    [
      "467029334245058987589311520139393913394582796495054239449333315226377/180003905609376712983697599954742644992240426040889",
      "21425959522903836111408132494174674088544872265965149994122791228959638582254067784797955354994477134173/2415032014998666588735161829025415014872774778264175761661218099267723538963"
    ],
    [
      "755028691293680412991605001181/164008800400",
      "108606801143242193759363102543150520894049081/66420283985992000"
    ],
    [
      "-212295802766212246191406588741470183029054912530486644024354433600165079/63446961574781356094534036438812075038409974630665329",
      "352123664684759140879288430337861043268925877268299762248041355981211238788534765511487793405068073933103825/15981452317334524339040075128595270360511315289094726365757080222774523175627767"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 23:17:16"
    }
  ],
  "commentary": null,
  "created_at": "2026-09-25 23:06:03",
  "updated_at": "2026-09-25 23:17:16"
}