{
  "id": 1950,
  "curve_key": "603417267667654199445180750386540837281:-15069253257034648882485061471081338301356151388801175055345",
  "ainvs": [
    "1",
    "0",
    "0",
    "-12571193076409462488441265633052934110",
    "17441265343790102872198999501828538196977291971321022916"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "naive_height": 267.9200135208957,
  "faltings_height": 20.213412499499874,
  "conductor": "4602946029136108141523873485353131236407127499471409949595324492274524550729951398910628656587922",
  "bad_primes": [
    "2",
    "3",
    "13",
    "53",
    "61",
    "71",
    "11955139469615840995033",
    "62418253137705534986846246033",
    "344517248080551190748433713366607434737"
  ],
  "discriminant": "-4265442618478765456518816568473551798026602898094923592041794075851719332646349472698319109378356056351272009728",
  "regulator": "184577497099005559776079478.88372894366887290950495731117388688280542800218610093617535",
  "points": [
    [
      "327178859291456957050726942576400253448168348/105566550695148672025413001",
      "3115351776110410248293974386200572547197759195764721668004689114022/1084649692156741248717107446691873505499"
    ],
    [
      "9849539513769999919/4",
      "9521090979711188330754111533/8"
    ],
    [
      "2056013205094329244",
      "534682569443721809220624466"
    ],
    [
      "-4100162229850354670",
      "-236674467981985365074145194"
    ],
    [
      "-15013205678388441196292/24649",
      "19299932258050816580285257563704602/3869893"
    ],
    [
      "-886598194383496984964/529",
      "70739042311882649166140698427582/12167"
    ],
    [
      "39022407174850165236603064/20729809",
      "-63126947924557892570764436639721740218/94382820377"
    ],
    [
      "2134059885827027728",
      "-576668676878291191714998542"
    ],
    [
      "1578723147745404892",
      "-1236765525521453861509225646"
    ],
    [
      "49837896341824525329610/36481",
      "-11694787238366302774982997392897014/6967871"
    ],
    [
      "4879908225185314417660/121",
      "-339618084034919642023512407533354/1331"
    ],
    [
      "102612393632172166051324/34969",
      "-15774750288039545788692339099601802/6539203"
    ],
    [
      "-3070422542962497794",
      "5205165516442271290628162188"
    ],
    [
      "914236852845090220",
      "-2590822851348538463873041214"
    ],
    [
      "-46908311416493412",
      "-4246275493503883999583269806"
    ],
    [
      "6563002208643416789445813874/1640331001",
      "371042867965495439026152100590683533654600/66435045871501"
    ],
    [
      "158270917676532020089430056/26388769",
      "1702824703403853757114281123627038428978/135559106353"
    ],
    [
      "94234808080381588244344595223295028810179147114487984125858876/56546389557474202466928085950533797338756649",
      "449922431476690746382907165440325538433980780938914789894330624211101411472073990795015637318/425213771010362163461942830482982289425045985566257345691245849643"
    ],
    [
      "-154154369235185466277775873976770385322807022384795417584659163120944772459967516/15120462682989243090223860296182801863359970922905797835778560601",
      "7793390543711662173509168842283915908779134794311527105721586852011946256815638899891704366973545745615452450333550871875030/1859292087245168151510471861126336543959360426186481177910379447291179837854607144225106906024099"
    ],
    [
      "198569237652227389048650699374859964/115820254133415001",
      "37968715669077182076082177523903327724048650894435594/39416383096816539313158749"
    ],
    [
      "17865207813386263244754279142592800252638303669538/13052820307695130741832561271241",
      "78899549979102787194348870541103534267270733792074244128265636369052157522/47158126052469342758557899294773474933551020539"
    ],
    [
      "177056054462238486575997856898043345027839098147333170931039296782269/3657559476396038134756347552826579815358101144976",
      "2349804290326186662116517664002880974840642972056003858312480419444650565336071271471452893604813983509/6994989960684942579669981008893643214358784251511887626038756780289452224"
    ],
    [
      "-17392557961672616383879841708571682815130165215592797418765917613256954175562441809246215505716/302024939081939264960703840289568608993903942345373373328969465217324841732969",
      "707427556601340951340947532324931497009017726969332380458595839993949929021997540712089026834065576310795277424346726961556619238729846005934022/165983228657587123238192163533114582348605460745455758962814008149129653249012972242812921125753652139191203546265547"
    ],
    [
      "-4579489548798061522861604/3359889",
      "34862450909942510500885405783765006210/6158676537"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 20:03:04"
    }
  ],
  "commentary": null,
  "created_at": "2026-09-25 20:01:28",
  "updated_at": "2026-09-25 20:03:04"
}