{
  "sources": {
    "j": {
      "table": "T79",
      "url": "https://numberdb.org/Q-expansion_of_the_j-invariant",
      "document_sha256": "b0e1b8492d0416ba3434ff4233f75f024da83c852fe6e20ee6c01e60268c2f74"
    },
    "canonical": {
      "table": "T309",
      "url": "https://numberdb.org/Canonical_modular_polynomials",
      "document_sha256": "955114ac58a324565a5b9385d9172096a0070de95ebcdae06ca3e5c691d2b46b"
    }
  },
  "j_coefficients": {
    "-1": "1",
    "0": "744",
    "1": "196884",
    "2": "21493760",
    "3": "864299970",
    "4": "20245856256",
    "5": "333202640600",
    "6": "4252023300096",
    "7": "44656994071935",
    "8": "401490886656000",
    "9": "3176440229784420",
    "10": "22567393309593600",
    "11": "146211911499519294",
    "12": "874313719685775360",
    "13": "4872010111798142520",
    "14": "25497827389410525184",
    "15": "126142916465781843075",
    "16": "593121772421445058560",
    "17": "2662842413150775245160",
    "18": "11459912788444786513920",
    "19": "47438786801234168813250",
    "20": "189449976248893390028800",
    "21": "731811377318137519245696",
    "22": "2740630712513624654929920",
    "23": "9971041659937182693533820",
    "24": "35307453186561427099877376",
    "25": "121883284330422510433351500",
    "26": "410789960190307909157638144",
    "27": "1353563541518646878675077500",
    "28": "4365689224858876634610401280",
    "29": "13798375834642999925542288376",
    "30": "42780782244213262567058227200",
    "31": "130233693825770295128044873221",
    "32": "389608006170995911894300098560",
    "33": "1146329398900810637779611090240",
    "34": "3319627709139267167263679606784",
    "35": "9468166135702260431646263438600",
    "36": "26614365825753796268872151875584",
    "37": "73773169969725069760801792854360",
    "38": "201768789947228738648580043776000",
    "39": "544763881751616630123165410477688",
    "40": "1452689254439362169794355429376000",
    "41": "3827767751739363485065598331130120",
    "42": "9970416600217443268739409968824320",
    "43": "25683334706395406994774011866319670",
    "44": "65452367731499268312170283695144960",
    "45": "165078821568186174782496283155142200",
    "46": "412189630805216773489544457234333696",
    "47": "1019253515891576791938652011091437835",
    "48": "2496774105950716692603315123199672320",
    "49": "6060574415413720999542378222812650932",
    "50": "14581598453215019997540391326153984000",
    "51": "34782974253512490652111111930326416268",
    "52": "82282309236048637946346570669250805760",
    "53": "193075525467822574167329529658775261720",
    "54": "449497224123337477155078537760754122752",
    "55": "1038483010587949794068925153685932435825",
    "56": "2381407585309922413499951812839633584128",
    "57": "5421449889876564723000378957979772088000",
    "58": "12255365475040820661535516233050165760000",
    "59": "27513411092859486460692553086168714659374",
    "60": "61354289505303613617069338272284858777600",
    "61": "135925092428365503809701809166616289474168",
    "62": "299210983800076883665074958854523331870720",
    "63": "654553043491650303064385476041569995365270",
    "64": "1423197635972716062310802114654243653681152",
    "65": "3076095473477196763039615540128479523917200"
  },
  "canonical_equations": {
    "2": "x^3 + 48*x^2 - x*y + 768*x + 4096",
    "3": "x^4 + 36*x^3 + 270*x^2 - x*y + 756*x + 729",
    "5": "x^6 + 30*x^5 + 315*x^4 + 1300*x^3 + 1575*x^2 - x*y + 750*x + 125",
    "7": "x^8 + 28*x^7 + 322*x^6 + 1904*x^5 + 5915*x^4 + 8624*x^3 + 4018*x^2 - x*y + 748*x + 49",
    "13": "x^14 + 26*x^13 + 325*x^12 + 2548*x^11 + 13832*x^10 + 54340*x^9 + 157118*x^8 + 333580*x^7 + 509366*x^6 + 534820*x^5 + 354536*x^4 + 124852*x^3 + 15145*x^2 - x*y + 746*x + 13"
  }
}