# Stored data for newform 6005.2.a.e, downloaded from the LMFDB on 25 April 2024.
{"label": "6005.2.a.e", "space_label": "6005.2.a", "level": 6005, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543042421, "dim": 88, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [32, -1804, -77872, 3264910, 21730743, -1044147087, 2299715858, 71823511614, -213092235690, -2496012634993, 6540446119299, 54004826038872, -104565567725853, -783827529598772, 992001768104122, 7974160488636356, -5734890461195835, -58961204884518379, 17551265317794930, 327025505765106119, 9176182174563261, -1397307768811354364, -401775743762791209, 4699955932638106446, 2370414340486171426, -12658397747062230874, -8822108607050793074, 27651272450239630330, 24359944689907908092, -49423216664786648432, -52992641024238557138, 72609237039776398122, 93709662207910559248, -87593151454470209535, -137332460824019948557, 85912511399113414778, 168987662381742458481, -66559172402956760146, -176215142339768536304, 37389662723676392443, 156748686816828543659, -9990340419681349612, -119485474190861640684, -7482908128195051090, 78268015638872558470, 13700738340813257183, -44102372620051834252, -12361056863421139632, 21357315985246373318, 8221491109118169178, -8857908223368759601, -4403148576045882070, 3123503677708609336, 1964149789654814861, -923346728757210715, -741333605201105091, 222395503673191483, 238526921917614827, -40757791094047201, -65605549249576427, 4421074522681354, 15414312294512109, 306904888578503, -3081944630076460, -301195267136745, 520503980567308, 89462023882141, -73339816286994, -18262723492930, 8444325004657, 2869085532065, -764940144230, -357765432611, 50064469512, 35548844455, -1728337789, -2781739563, -64578930, 166802742, 14221060, -7279036, -1068382, 207654, 47070, -2777, -1205, -23, 14, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24020, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 47.950166413778874, "level_radical": 6005, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [6005, 1, [1202, 11], [1, 1]], "inner_twist_count": 1, "level_primes": [5, 1201], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 88, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [1201, -1]], "trace_display": [-14, -34, 88, -35], "traces": [88, -14, -34, 66, 88, -1, -35, -39, 72, -14, -26, -64, -31, -17, -34, 34, -31, -42, -56, 66, -1, -49, -74, -3, 88, -1, -130, -57, -6, -1, -37, -87, -43, -35, -35, 53, -67, -40, -21, -39, 2, -15, -136, -15, 72, -16, -139, -71, 41, -14, -71, -71, -75, 26, -26, -22, -34, -65, -41, -64, -11, -30, -114, -33, -31, 24, -209, -42, -22, -17, -43, -80, -50, 9, -34, -62, -49, -19, -77, 34, 72, -107, -113, 19, -31, 14, -87, -107, -5, -42, -159, -100, -82, -31, -56, 58, -105, -29, -68, 66, 7, -19, -190, 48, -1, 0, -155, -151, -44, -49, -43, -45, -104, 12, -74, 4, -55, -25, -9, -3, 36, -41, -89, -39, 88, -17, -188, -118, 31, -1, -11, -59, -103, 55, -130, -65, -71, 30, -68, -57, 30, -62, -189, 120, -6, 19, -180, -120, 12, -1, -99, -59, -22, 2, -37, 64, -86, -31, 44, -87, 41, -38, -214, 72, -43, -54, -160, 51, 21, -35, -78, -184, -54, 92, -35, 88, -25, 23, -88, 53, -54, 26, -101, 1, -67, 40, -161, -158, 87, -40, -57, -35, -63, 90, -21, -19, -8, 24, -94, -39, 128, -39, -158, 21, 2, 91, -156, -74, 85, -15, -251, -67, -33, 42, -136, 162, -91, -32, -78, -15, -12, -17, -183, 37, 72, 27, -194, 121, -57, -16, -12, -119, -27, 96, -139, 52, 46, 34, 24, -71, 52, 1, -274, 130, 41, 142, -204, -17, 92, -14, -10, -113, -96, 93, -71, -44, -87, 63, -190, -71, 110, -39, -148, 189, -75, 53, -133, -241, 37, 26, -55, -25, 84, 10, -26, 90, -55, -61, 64, -22, 19, 8, -188, 19, -34, 30, -211, -22, 37, -65, -81, -31, -98, 312, -41, 105, -31, -69, 44, -64, 71, 24, -109, 21, -11, 97, -274, -27, 87, -30, 3, -105, -53, 228, -114, -115, -128, 66, -82, -33, 146, -84, -153, 205, -31, -3, -103, -151, 50, 24, -216, -108, -95, 1, -209, -65, -148, -62, -35, -42, 73, -153, -112, 158, -22, -18, -179, -35, 49, -17, -38, -226, -95, 68, -43, -37, -169, 27, -10, -80, -56, -88, -140, -53, -50, 29, -254, -43, 141, 9, -10, -188, -133, 104, -34, -32, -153, 120, -245, -62, 66, -206, -252, 162, -49, 48, -324, -87, 40, -19, -159, -62, -20, 41, -77, -145, -135, 16, 178, 34, 77, -142, -185, 115, 72, -194, -224, 8, -39, -107, -55, -343, -37, 125, -113, 61, -24, 75, -6, 19, -176, -80, -163, 78, -31, -55, -396, 15, 71, 14, 1, -273, -86, 57, -87, -170, -75, 84, -76, -107, 86, -182, -235, 179, -5, 108, -194, 84, 72, -42, -285, -333, 50, 38, -159, -29, -88, 98, -92, -100, 90, 3, -262, 114, -82, -178, -239, 19, 35, -31, -70, -265, -24, 212, -56, 89, -340, -89, 93, 58, 85, -18, -11, -69, -105, 82, -324, 15, 166, -29, -15, -204, -96, 183, -68, -209, -72, 165, -193, 66, 37, -137, -264, 111, 7, -44, -223, -136, 94, -19, -160, -112, 163, 87, -190, 73, -95, 69, 120, 48, 132, -365, -171, 102, -1, -211, -210, 215, -72, 0, -93, -461, 21, 83, -155, 104, -144, 182, -41, -151, -73, -51, -113, 105, -44, -168, -424, 3, 153, -49, 39, -137, -61, 117, -43, -88, -41, 220, -174, -45, 139, -358, -160, 185, -104, 94, -252, 87, 137, 12, -243, -311, 59, 63, -74, 98, -146, 209, -7, 4, 136, -211, -164, 102, -55, -39, -227, 88, -105, -25, 71, -335, 64, 454, -9, 137, -43, 103, 83, -3, -18, -45, -326, -187, 36, -2, -277, 207, 203, -41, 0, 8, 9, 233, -89, -96, -138, 312, -149, -39, -10, -422, -66, 237, 88, 38, -254, 94, 141, -17, -261, -19, 303, 29, -188, -91, -160, 345, 74, -118, 19, -411, -239, 434, 31, -21, -308, 31, 88, -1, 94, -328, -27, 258, -11, 136, 96, 325, -158, -59, 36, -12, 110, -39, -103, -2, -515, 61, 239, 55, 86, -75, 9, 360, -130, -381, -36, 371, -147, -65, 143, -263, -208, 91, -71, -27, -246, -86, 191, 30, -149, -100, 283, 53, -68, 346, -136, 32, 18, -57, 105, -97, -77, 396, 30, -218, -339, 179, -5, -62, -132, -74, 22, 258, -189, 10, 100, -10, 102, 120, 94, 14, 33, -37, -6, 23, -434, 461, 282, 19, 110, -273, 126, 297, -180, -110, -5, 191, -185, -120, 79, -201, -75, 502, 12, -170, -200, -29, 245, -1, -313, -119, 99, 69, -99, 178, -265, 253, 267, -59, 198, -130, -140, 143, -22, -102, -182, 410, 170, 2, -180, -216, 19, 327, -37, 122, 156, 225, 12, 64, -126, -20, -98, -143, -86, -238, -323, 333, 163, -31, 152, -303, -66, 508, 44, -132, -156, 351, -12, -87, 166, -297, -125, 594, 41, 152, -118, 75, 201, -38, -305, -88, 189, 157, -214, -74, -23, 209, 72, 72, 103, -11, -228, 315, -43, -29, -231, 279, -88, -54, 53, -296, 177, 235, -160, 468, -297, 239, 201, 51, 10, 199, 227, -4, 21, -47, -279, 188, 172, -35, -67, -1, 112, 395, -78, -60, -107, 373, -89, -184, 148, -125, -206, 512, -54, 122, -315, 266, 227, 92, 125, 30, -1, 89, -35, -225, -109, 242, 302, 88, 120, 110, -169, 375, -25, -16, -290, 489, -16, 23, -44, -452, 226, 810, -88, 245, 89, 204, 253, 53, 29, 27, 77, 265, -54, 172, -495, 240, 232, 26, 45, 364, 172, 171, -101, -119, 57, 461, 93, 1, 396, 1, 47, 598, -67, 260, -179, 175, 212, 40, -140, 112, 169, 143, -161, 223, -49, 575, -136, -158, 298, -333, 10, 593, 87, -207, -202, 775, 78, -40, 346, -7, 77, 428, -57, 67, 218, 235, 169, -35, 225, 167, -104, 255, -63, 86, -309, 391, 384, 90, -99, -392, 65, 423, -21, 445, -22, 780, -136, -19, 178, -60, -311, 287, -8, 162, -177, 257, 257, 24, -281, 278, 381, 362, -94, 297, -118, 287, 27, -39, 271, 38, -298, 362, 128, 106, -125, 545, 262, -39, 142, -106, 179, 440, -158, 367, -50, 309, 102, 21, 40, -59, 76, 47, 2, -45, -322, 260, 417, 91, 144, 51, 64, 530, -156, -218, 75, 698, -64, -74, 254, -246, 40, 813, 85, 421, -133, 307, 137, -15, -210, 255, 455, -178, -251, -28, 19, 425, 23, -67, 222, -58, -146, 420, -33, -31, -148, 357, 229, 42, 353, -487, 186, 628, -136, 317, 44, 642, 163, 162, 223, 144, 96, 115, -91, 5, -189, 289, 293, -32, 22, 177, 38, 571, -78, -295, -74, 305, -59, -15, 219, 281, -24, 379, -12, 411, -238, 260, 463, -17, 165, -76, 471, 2, -183, 341, -270, 496, 541, 37, 146, 65, -236, 214, 72, -198, -290, 870, 174, 27, 193, -261, 87, 101, -194, 107, 209, 265, 272, 121, 115, 198, -133, 513, -57, 575, -374, 348, 261, -16, 245, -5, 261, 541, -12, -137, 158, 771, -146, -119, 342, -546, -59, 519, -27, -11, -51, 461, 338, 96, -546, 74, 403, 279, -139, 587, -140, 437, 301, 52, 293, 22, 225, 433, 46, -28, -88, 810, 298, 34, 197, -355, 38, 534, 24, 338, 82, 631, 199, -71, 88, 390, 115, 321, 52, 324, -170, 655, 430, 1, 160, 185, -100, 459, -274, -32, 68, 1063, -304, 130, 535, -182, -60, 651, 41, 289, 112, 84, 274, 142, 176, 386, 97, -42, -204, 120, 57, 346, 206, -17, 270, 132, -147, 588, 92, 300, -266, 432, -12, -14, 326, -675, 273, 335, -10, 900, -77, 738, -12, -113, -108, 368, 361, -247, -96, 43, -315, 478, 608, 93, 151, -35, 183, 334, -71, -72, 216, 771, -162, -44, 475, 220, -218, 648, -87, 369, -504, 289, 356, 63, -264, -76, 226, 392, -190, 123, -23, 518, 3, -71, 391, 237, -251, 592, 110, -267, -253, 597, -31, -39, 331, 40, -43, 402, -148, 347, 323, 444, 321, 189, 201, 144, -215, -347, -75, 415, -355, 240, 73, 53, 174, 116, 9, 566, -133, -232, 42, 746, -315, -241, 332, -383, -198, 672, 37, 458, -134, 274, 338, 26, -3, 147, 261, 513, -55, 269, -77, 673, -14, -25, 409, -83, -244, 467, 84, -204, -367, 530, 151, 10, 35, -127, 18, 325, -26, 491, 472, 350, 295, 90, -86, 87, 28, 77, -55, 115, -665, 331, 243, -61, 183, -141, 270, 772, 64, -122, 53, 642, 94, -22, 302, 55, -36, 286, 19, 455, -78, 99, 113, 8, -361, 41, 247, 264, -188, 370, 27, 629, 428, 19, 445, -202, -311, 416, -34, 298, -109, 634, 84, 30, 640, -229, 38, 219, -211, 187, 114, 576, 154, -22, -154, 138, 269, 320, 37, -136, -309, 286, 519, -65, 257, 247, -316, 391, -81, -189, -69, 728, -486, -31, 347, -128, -72, 244, -98, 358, -643, 406, 405, 312, 102, 155, 396, 108, -41, 320, -28, 446, -30, 105, 143, 85, -490, 544, -31, -282, -71, 477, -91, -69, 226, -354, 31, 395, 44, 335, -16, 316, 124, -64, 291, 532, 26, -32, 71, 63, -253, 181, 278, 24, 235, 253, -27, 438, -109, -303, 261, 421, 142, 21, 180, -90, -237, 436, -11, 349, -482, -88, -6, 97, -126, 132, 93, -6, -274, 550, -120, 143, -54, -27, 432, 511, -179, 515, 87, -218, -85, 250, -303, -30, 93, -510, 70, 156, 3, 14, 156, 356, 247, -105, 34, 107, -291, -21, -53, -61, -341, 438, 89, 228, 99, -424, 106, 243, -114, -512, -116, 568, -483, -115, 272, -127, -108, 280, -128, 228, -28, 72, 56, 66, -71, -65, 54, 267, -82, 562, 4, -29, -49, -33, 541, -254, -208, 380, 146, -66, -342, 264, -42, -84, -479, -491, -128, 49, -153, 121, -17, 249, 225, 205, -115, 304, -124, -6, -31, 42, -315, 34, 91, -3, 144, -123, -424, 308, -103, -96, -125, 690, -235, -151, 213, -482, -209, 458, 50, 92, -92, 108, 168, 24, -205, -92, -221, 56, -216, -325, 91, 154, 20, -108, 335, -192, -205, 365, -95, -748, -224, 32, 143, 1, -41, 32, 211, 143, -209, 73, 244, 130, 236, -65, -6, 95, -9, -315, -148, -290, -286, 258, -212, -62, 87, -514, -208, 692, -35, 57, -35, 226, -510, -42, 634, -388, -342, -149, 73, -135, -371, -70, 171, -153, 111, -119, 72, -237, -112, -127, -217, 320, -157, 158, 112, -45, -478, 154, -22, 17, -267, -131, -73, -18, 291, -278, -75, 40, -179, -125, 179, 75, 205, -35, -180, -597, -169, -78, 49, 542, -641, -230, 174, -17, 21, -14, 18, 96, -38, -649, 227, 540, -257, -226, 97, -75, -128, -291, -95, 18, -160, 60, 226, 68, -221, -215, -295, -109, -43, 190, 27, 514, -69, -37, 391, -537, -354, 248, -169, -306, -436, 8, -341, 27, -196, -331, 72, 203, -10, 520, 211, 407, 145, -80, -34, 135, -196, -114, -56, -113, -290, -234, 339, -88, 148, -437, 13, 322, -140, -279, 137, 402, -368, -53, 53, -239, -314, -745, -50, -11, -491, 230, 30, 29, -339, -213, -24, 290, -254, -521, -170, 212, 57, -43, 159, -561, -440, 470, 141, -453, -355, 314, -338, 9, 436, -572, -51, -269, -10, 403, 204, 149, 245, -188, -201, 205, -87, -236, -133, -473, -372, -424, 169, 104, 94, -667, -240, -21, -34, -215, 10, 359, -77, -32, 561, -580, -277, -357, -153, 33, 95, 99, -34, 120, -725, 213, 153, 335, -245, -830, 18, 316, -626, -62, 42, -414, -449, 0, 66, -271, -216, -159, 1, -206, 100, -118, 62, -433, -252, 55, -95, 239, 204, 162, -99, -221, -219, 65, -49, 133, -440, 148, -4, 48, -139, -525, -176, 521, -324, -465, -74, 652, -570, -87, -206, 301, -351, 700, 40, 198, -468, -573, 118, -19, 58, -344, -310, -472, -159, -408, -27, -111, -19, -62, -40, -228, -326, 448, -20, -246, -461, 253, -329, 41, -199, -767, -142, -370, -77, -202, 267, 259, 247, -145, 1, -191, -445, 10, -135, -413, -439, -18, -136, 16, 115, -28, -117, 144, 178, -283, 100, 158, -234, 34, 300, -366, -511, 120, 77, -341, -366, 108, 92, -142, -420, -167, 187, -137, -185, -16, -224, 205, 69, 115, 364, -1322, -61, 364, 72, -273, -230, 322, -619, -194, -289, -428, -90, -368, -224, -163, 324, -165, 158, 8, -12, 102, -399, 236, -39, -398, -333, -40, 278, -107, 177, 216, -187, 341, -55, -12, 63, -151, -318, -343, -172, -734, -157, 128, -37, -82, -411, 426, 424, 125, -312, 31, -95, -165, -113, -374, -142, 460, -210, 61, 190, 134, -893, 569, -24, -456, -115, -550, -174, 75, 150, -474, -62, 602, -6, 191, 214, 783, -100, 19, 179, -338, -105, -249, -176, -480, -326, 466, -359, -80, 89, -457, 100, 722, -163, -616, -28, 458, 55, 78, 358, -403, -213, -266, -31, 358, -147, 148, 179, -55, -159, -138, 463, -186, -396, -366, -11, 28, -194, 15, 288, -26, -528, 570, 71, -355, -456, -245, -1, 14, 277, 10, 280, -223, 1, -399, 61, 441, 277, -273, -576, 13, 138, 35, -86, 622, -408, -29, 83, 57, 260, -167, -370, 34, -87, -593, 300, 627, -488, -170, -49, 76, -382, -482, -75, -35, -387, -260, 365, 84, 134, -182, 186, 581, -76, -323, 316, -46, 45, -107, 323, -833, -76, -124, 86, -511, -264, 930, -635, -182, -49, -201, 55, 19, -235, 91, 232, 69, 14, 179, -226, 158, -48, -63, -5, -380, -904, 153, -54, 108, 215, -847, -257, 266, -194, -505, -58, 645, -77, 84, 90, -641, -396, 976, 72, -421, 51, -38, 77, -42, -357, 300, 147, 261, -285, -478, 126, 179, -120, -333, 191, -328, -348, -18, 50, -165, -305, 58, -149, 38, 467, -22, -134, -567, -159, 230, 67, 275, 173, -29, 114, -114, -18, -399, -88, -647, -105, -137, 66, 98, -259, -590, -139, 461, -92, -785, 84, -167, -596, -100, 610, -254, -349, -35, 90, -30, -11, 76, 274, 3, -415, 504, -296, -275, -262, -1019, 24, 47, 46, 114, 230, -851, -20, 605, -82, -197, -124, 167, 293, -178, -17, -372, -201, -286, -239, -149, 167, 725, -13, 19, 12, 47, 439, -139, 35, -638, -547, 35, -55, -31, 238, -706, -248, 62, -70, -669, 146, 841, -244, -265, 438, -74, -534, -385, -24, 44, -343, -74, 278, 212, -200, -434, -103, -78, -56, 594, 70, -70, -289, 89, -143, -854, 7, 801, -340, -943, 310, 586, -588, -89, -61, 84, 13, -12, 93, -170, 596, 203, 224, 58, 176, -14, -116, -136, 85, 214, -313, 236, 489, -18, 483, -606, 287, -18, -11, -675, 199, 908, -193, -69, 299, -388, -92, -650, -105, -39, 339, 149, 91, 82, -65, 505, 123, -316, -324, -643, 333, 368, -15, 15, 554, -273, -561, 146, 166, 397, -118, 167, -273, -29, -129, 68, -189, -7, -15, 500, 842, 388, 152, -204, -108, -671, 55, 132, -96, -1153, -452, -42, 334, 183, 321, -100, -584, 232, -68, -371, 1, 988, -205, -209, 119, -218, 306, -801, -72, 323, -13, -288, 375, 165, -162, -353, 255, 246, -193, -455, 441, -467, -10, 66, 575, -193, 48, 432, 37, -351, 47, -60, -158, -137, 599, -1229, 30, -205, -264, -100, -78, 474, 646, 111, -181, 332, 186, -531, 7, -1406, 493, 289, -178, -44, -111, 508, -280, -123, -223, -337, 126, 325, -313, -136, -89, -319, -628, 594, 94, 610, -235, 129, 176, -19, 324, 259, -78, -289, -160, -341, 107, 615, 68, -112, 91, -321, -175, -543, 163, -578, -774, -652, -99, 87, 52, -692, 132, 4, -190, 252, 519, 221, 307, 73, 34, 115, -254, -168, -95, -516, -593, -216, -226, 69, 398, -564, -290, 565, 120, -636, 236, -95, -564, 48, 324, -448, 116, 76, 132, -353, 314, 340, 240, -365, -505, 291, -146, 137, -171, -547, 28, 551, 157, 102, 232, -463, -529, -78, -1, -25, -159, 1055, -530, -211, 180, 288, 250, 92, -210, -103, 161, -45, 165, 215, -60, -222, -280, 825, -72, 8, 3, 406, -240, 0, 307, -856, -184, -291, -93, -840, 334, 369, -105, -461, 257, 189, -341, -678, 21, -220, -61, -506, 68, 83, -74, 152, 140, -290, -155, -126, 305, 75, 251, 104, 567, -798, -390, 495, -144, -183, -463, 162, -87, 182, 71, -125, -149, -281, -41, 547, -13, -22, -129, -151, -198, 110, 665, -681, -73, -429, -80, 61, -168, -51, 222, 705, -206, 96, -113, -451, 473, 53, 141, 105, 377, -646, -284, 117, -44, 733, -120, -91, -72, -168, -414, -530, -276, -193, -424, -1439, 132, 9, -348, 3, 190, 447, -71, 679, 153, -814, -176, 38, 67, -49, 584, -360, -393, 5, 39, -97, -42, 416, -197, -137, 192, 163, -567, -380, -61, -95, -123, -213, -259, 117, 373, -684, -579, 477, -43, -534, -58, 434, -257, -88, 223, 13, 270, -84, -41, -189, -437, 205, -13, 220, 66, -730, 116, 249, -174, -317, 454, 102, -69, -45, 587, -183, -289, -262, 139, -802, 281, -163, -517, -358, -444, -791, -142, -1071, -160, 582, 515, -186, 276, 185, -90, 668, -348, 84, -104, 353, -324, -617, -227, 94, 119, -318, 80, 119, -252, -1032, 201, 420, -320, 87, -95, -85, -342, -502, 137, -195, -123, -18, 51, 12, -355, 410, -415, -581, -243, -526, 155, -856, 68, -311, 332, -734, -263, 366, 59, -598, -271, 576, 2, 63, 238, -921, 45, 53, -74, -222, 657, 396, -175, 98, 257, 28, -260, 78, -146, -1195, -231, 83, 180, 209, 159, -534, -860, -105, -7, 138, 292, 82, -466, 4, 795, -386, -273, -1222, 136, 41, 170, -440, -104, -211, -322, 647, 237, 244, -164, 12, 159, -214, 261, 102, 114, 97, -437, -425, -55, -422, -48, -595, -855, -39, 122, 129, -271, -809, -227, 414, 448, -60, -92, 88, -486, -12, -175, -47, -105, -1133, -61, -322, -411, -25, 688, 129, -123, -1, 71, -227, 107, 688, 213, -335, -17, 6, -620, -1, 64, 9, -95, 13, 591, 454, -260, -130, 39, -304, -9, -606, 28, 298, -270, 137, 108, -713, -310, -1417, -43, -595, 65, 338, -294, 103, 305, 4, -394, 87, 83, 431, 471, -104, 449, -3], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6005.2.a.e", "char_is_minimal": true, "conrey_index": 1, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}