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3762 bytes, as of the version from 2026-10-31 10:48 (current). Recorded here, not run.
{
"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"
}
}