# Stored data for newform 6015.2.a.c, downloaded from the LMFDB on 23 April 2024. {"label": "6015.2.a.c", "space_label": "6015.2.a", "level": 6015, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288301439, "dim": 28, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [88, -668, -2764, 13633, 32978, -100763, -193557, 358667, 602508, -721925, -1094488, 893429, 1244533, -714236, -928493, 381178, 468389, -138297, -162204, 34196, 38556, -5668, -6175, 602, 636, -37, -38, 1, 1]]], "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24060, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 48.03001681580015, "level_radical": 6015, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [6015, 1, [2006, 2407, 3211], [1, 1, 1]], "inner_twist_count": 1, "level_primes": [3, 5, 401], "conrey_indexes": [1], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 28, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [401, -1]], "trace_display": [-1, 28, -28, -20], "traces": [28, -1, 28, 21, -28, -1, -20, 0, 28, 1, -1, 21, -18, -4, -28, -1, -28, -1, -19, -21, -20, -35, 2, 0, 28, -20, 28, -54, 9, 1, -19, -6, -1, -16, 20, 21, -32, -2, -18, 0, -27, -4, -77, 1, -28, -19, 10, -1, -4, -1, -28, -34, -21, -1, 1, -9, -19, -46, -7, -21, -31, -7, -20, -46, 18, -35, -50, -68, 2, 4, -4, 0, -87, 4, 28, -40, -8, -20, -65, 1, 28, -41, 13, -54, 28, -17, 9, -117, -33, 1, -33, 3, -19, -60, 19, -6, -75, -18, -1, 21, -7, -16, -73, -53, 20, -26, -19, 21, -17, 35, -32, -81, -71, -2, -2, -9, -18, -100, 26, 0, 5, 15, -27, -58, -28, -4, -71, -20, -77, 20, -7, 1, -49, 19, -28, 24, -32, -19, -99, 54, 10, 20, 2, -1, -9, 36, -4, -81, 18, -1, -20, 27, -28, 10, 19, -34, -19, 2, -21, 6, -13, -1, -74, 24, 1, 24, 39, -9, -20, 16, -19, -108, -47, -46, -20, 30, -7, -117, 3, -21, -21, 50, -31, -5, 32, -7, -97, 9, -20, 2, 38, -46, -111, -85, 18, 49, -18, -35, -39, 0, -50, 7, -17, -68, 27, -3, 2, -74, -46, 4, -79, -17, -4, -67, 77, 0, -99, -1, -87, -1, 60, 4, -60, -16, 28, 83, 38, -40, 5, 19, -8, -64, -63, -20, -10, 34, -65, -80, 28, 1, -101, 16, 28, -114, 4, -41, -94, -32, 13, 1, -11, -54, -70, 59, 28, -47, -37, -17, -57, 34, 9, 44, 20, -117, 21, -10, -33, -111, 5, 1, -51, -60, -33, 36, -1, 3, -68, -52, -19, 9, 12, -60, -157, 6, 19, -16, 17, -6, -54, 46, -75, -60, -47, -18, 7, -3, -1, -108, -60, 21, 48, 36, -7, -46, 31, -16, -158, -24, -73, 7, 18, -53, -181, 29, 20, 35, -49, -26, -53, 46, -19, 34, -2, 21, -18, 125, -17, -105, -89, 35, 44, -3, -32, -31, 50, -81, -117, 45, -71, 68, -18, -2, -112, -6, -2, 158, -3, -9, 9, -4, -18, 50, -39, -100, 4, 50, 26, -52, -2, 0, -59, 129, 5, 67, 87, 15, -104, 54, -27, -4, 45, -58, -186, 44, -28, 42, -34, -4, -112, 40, -71, 69, 80, -20, 8, 58, -77, -11, -14, 20, -128, 150, -7, -65, 65, 1, -67, 37, -49, -1, 28, 19, -92, 22, -28, 211, 7, 24, -41, 41, -32, -48, 28, -19, -13, 165, -99, 55, -36, 54, 89, 158, 10, -68, -28, 20, -70, 65, 2, 17, 69, -1, -174, 85, -9, 182, 26, 36, -34, 117, -4, 99, 4, -81, 33, 204, 18, 4, 21, -1, -108, 66, -20, -53, 33, 27, -144, 29, -28, -3, 56, 10, -23, 28, 19, 180, -4, -34, -8, 60, -19, 21, -40, 2, -19, 321, -21, 13, -16, 6, -70, 80, -13, 46, 75, -1, -70, 208, -74, 18, 102, 24, -53, -14, 1, 99, -141, 24, 15, -21, 39, 43, 106, -9, 7, 224, -20, 5, 81, 16, 110, -11, -19, -52, 73, -108, -91, 195, -47, 53, -102, -46, -146, 93, -20, 180, 51, 30, -26, 26, -7, 55, -19, -117, 19, 117, 3, -4, -5, -21, 145, 147, -21, -40, 17, 50, -218, 50, -31, -35, 20, -5, -6, -16, 32, -15, 34, -7, 3, 81, -97, 188, -73, 9, 71, 55, -20, -33, -82, 2, -139, 117, 38, -2, 2, -46, -115, 32, -111, 9, 15, -85, 7, 19, 18, 59, 58, 49, 165, 100, -18, 47, 5, -35, -26, 168, -39, -67, -50, 0, -76, 79, -50, -78, -5, 7, -65, 128, -17, -15, 123, -68, -142, -63, 27, 280, -111, -3, -16, 58, 2, 51, 79, -74, 28, 267, -46, 59, 44, 4, -25, -5, -79, -61, 71, -17, -50, -70, -4, 20, 6, -67, -38, -260, 77, 258, 9, 0, -87, -20, -99, 94, 41, -1, 7, 217, -87, 91, 13, -1, 76, 173, 60, 43, 49, 4, -222, 100, -60, -19, 110, -16, -133, 14, 28, 191, -104, 83, -24, -24, 38, 74, 105, -40, 32, 107, 5, 37, -151, 19, -50, -53, -8, -13, 99, -64, -77, 32, -63, -54, 73, -20, -156, -8, -10, 195, -9, 34, 140, -20, -65, -153, -110, -80, -2, 95, 28, -84, -60, 1, 126, 141, -101, -32, 9, 16, -52, 127, 28, -36, 101, -114, -20, -195, 4, 153, -188, -41, -119, 81, -94, 167, 42, -32, -18, 29, 13, -118, 205, 1, 46, 63, -11, -142, 20, -54, -207, 124, -70, -27, -36, 59, -40, -135, 28, 141, 3, -47, -105, -10, -37, -115, -50, -17, -19, -151, -57, -43, -37, 34, 67, -20, 9, 199, 19, 44, -126, 45, 20, -2, 83, -117, -22, -234, 21, 262, -76, -10, -3, -6, -33, -1, 116, -111, 13, 190, 5, -131, -70, 1, -34, 36, -51, 219, 74, -60, -109, 30, -33, -24, 181, 36, -21, -136, -1, 171, -62, 3, 68, -24, -68, 80, -154, -52, -39, -70, -19, -66, -63, 9, 77, 17, 12, -256, 20, -60, -117, -65, -157, -16, 141, 6, -169, -111, 19, 24, -82, -16, -43, 108, 17, -21, 69, -6, 47, 79, -54, 13, 60, 46, 63, -53, -75, -190, 20, -60, 48, -81, -47, -30, -73, -18, -146, 210, 7, 114, -68, -3, -35, 117, -1, 22, 139, -108, -3, 91, -60, -60, 70, 21, 1, 60, 48, 212, 21, 36, -209, 97, -7, -50, 60, -46, -75, -66, 31, 317, -13, -16, -99, 5, -158, 33, 106, -24, -32, 42, -73, -170, -54, 7, 100, -283, 18, 15, 97, -53, -258, 295, -181, -9, -34, 29, 24, -115, 20, 190, 170, 35, 137, -2, -49, -14, -26, -26, -38, 249, -53, 244, -1, 46, 95, -147, -19, -235, 111, 34, 61, 211, -2, 85, 36, 21, 60, -94, -18, 194, -159, 125, -153, -49, -17, -9, 60, -105, 18, 406, -89, -145, 52, 35, 128, -42, 44, 53, 39, -3, -207, 214, -32, 0, 27, -31, -97, -166, 50, 69, 16, -81, 13, -7, -117, 264, -65, 45, 17, 121, -71, -74, 88, 68, 173, -136, -18, -134, -27, -2, -116, 81, -112, 3, 69, -6, -49, -191, -2, 256, -103, 158, -44, 74, -3, 43, 85, -9, 46, 35, 9, 282, -214, -4, -51, 26, -18, -58, 79, 50, -179, -68, -39, 17, 148, -100, -119, 11, 4, 501, -36, 50, 72, 67, 26, 8, 26, -52, -77, 280, -2, 27, 74, 0, -93, -198, -59, -7, 99, 129, -65, -7, 5, 1, -36, 67, 71, -116, 87, 409, -175, 15, -138, 1, -104, 152, 217, 54, -60, -31, -27, 154, -12, -4, 49, 40, 45, 64, 60, -58, -214, 528, -186, 16, 56, 44, -77, -61, -28, 151, 62, 42, 152, -83, -34, -243, 85, -4, -38, 292, -112, 84, 129, 40, -70, -254, -71, -117, -5, 69, -87, 165, 80, -19, 13, -20, 26, 145, 8, 179, 62, 58, 92, 64, -77, 16, 59, -11, 63, 445, -14, -88, -60, 20, -6, 21, -128, 178, 10, 150, -226, 254, -7, -34, 92, -65, -79, -145, 65, 54, -78, 1, 165, 80, -67, -61, -270, 37, -28, -192, -49, -52, 8, -1, 169, 134, 28, 182, 101, 19, -192, 460, -92, -16, 126, 22, -58, -204, -28, 171, -169, 211, -67, 114, 7, 155, 285, 24, -4, 66, -41, -110, 116, 41, -29, -153, -32, 17, 94, -48, -151, 140, 28, 32, 113, -19, -185, 46, -13, 824, -91, 165, -303, -1, -99, -163, -20, 55, 11, 146, -36, 25, -2, 54, 73, 99, 89, 112, 70, 158, -108, 113, 10, -59, 106, -68, -91, -27, -28, 460, -107, 20, 143, 47, -70, 91, 91, 65, 37, 88, 2, -74, 106, 17, 35, 92, 69, -160, 57, -1, -107, 8, -174, -34, 105, 85, -69, 130, -9, 364, 19, 182, 344, -44, 26, -103, 146, 36, -20, 111, -34, 169, 105, 117, 6, -88, -4, 359, -21, 99, -102, 23, 4, 10, -138, -81, -137, 236, 33, 519, 108, 204, -121, 111, 18, -7, 313, 4, -5, 49, 21, -301, 40, -1, 89, -97, -108, 255, 51, 66, -150, 226, -20, 60, -22, -53, -43, 106, 33, 166, 166, 27, 100, -36, -144, -75, -31, 29, 1, 34, -28, 144, 120, -3, 236, -20, 56, 153, 68, 10, -313, 123, -23, 52, 215, 28, 123, -56, 19, 87, -9, 180, 5, -9, -4, 305, 44, -34, -12, 125, -8, 455, 28, 60, 35, 82, -19, 25, 157, 21, -188, -21, -40, -6, 226, 2, -51, -37, -19, 136, 66, 321, 295, 16, -21, -179, 38, 13, -17, 92, -16, -421, 104, 6, -93, 229, -70, -43, 54, 80, -270, 351, -13, -46, 178, 46, 152, 58, 75, 377, -272, -1, -111, 60, -70, 360, 183, 208, 47, 236, -74, -16, 94, 18, 174, 221, 102, 153, -7, 24, 273, 224, -53, 3, 23, -14, -19, 266, 1, 537, 87, 99, 58, 108, -141, -60, 360, 24, 60, 96, 15, 153, 168, -21, 3, -110, 39, -2, -48, 43, -55, 76, 106, -36, 116, -9, -165, 71, 7, -26, -111, 224, 228, 46, -20, -44, 280, 5, -31, 75, 81, 54, -70, 16, -142, -125, 110, 360, 158, -11, -321, 294, -19, 24, 185, -52, 74, -8, 73, 598, -7, -108, 349, -7, -91, 343, -83, 195, -18, 29, -47, -104, 103, 53, 110, 21, -102, -393, 181, -46, 25, 50, -146, -29, 5, 93, 168, -161, -20, 75, -3, 180, 54, -35, 51, -330, 32, 30, 49, 148, -26, 21, 88, 26, 345, -410, -7, -451, 53, 55, -243, 397, -19, -46, -87, -117, -245, 21, 19, 595, 178, 117, -153, -34, 3, 98, 145, -4, 2, 369, -5, -37, 80, -21, 143, -108, 145, 152, 18, 147, -93, -68, -21, -125, 223, -40, 111, -276, 17, 138, -3, 50, 81, 105, -218, 398, 251, 50, 89, -203, -31, -183, 210, -35, -20, 91, 20, -141, -44, -5, -386, 107, -6, 3, 107, -16, -121, 130, 32, 27, 140, -15, 11, 31, 34, 6, 57, -7, -50, -95, 3, -77, 179, 81, 271, -413, -97, 100, 117, 188, 343, -112, -73, -45, 109, 9, -164, 81, 71, 48, 32, 55, -127, -68, -20, -23, 171, -33, 18, 39, -82, -103, 418, 2, 117, -4, -139, 179, 112, 117, -136, 160, 38, 6, 102, -2, -87, -85, 2, -38, 336, -46, -5, -158, -115, -438, 90, 32, 3, -107, -111, 2, 137, 9, 127, -395, 15, 77, -9, -85, -78, 236, 7, 4, 36, 19, -208, -307, 18, 128, -252, 59, 42, -50, 58, -47, 214, 49, 39, 40, 165, 238, -52, 100, 5, -138, -18, -88, -4, 47, -307, -1, 5, -50, -95, -35, 67, 186, -26, 73, 172, 168, 215, 52, -39, 341, 241, -67, 2, 282, -50, -195, 99, 0, 50, -536, -76, -64, 59, 79, 126, -177, -50, -129, 164, -78, 55, 153, -5, 44, -265, 7, -100, -67, -65, 490, 106, 128, -87, 184, -17, -397, 510, -15, 440, -277, 123, -420, 104, -68, -318, 60, -142, -54, -143, -63, -122, -350, 27, 179, 194, 280, 277, 4, -111, 164, 164, -3, -45, -68, -16, -153, 290, 58, 146, -331, 2, -19, 186, 51, 172, -114, 79, -44, -37, -74, 13, 29, 28, 588, 82, 267, 156, -42, -46, -366, 112, 59, 34, -61, 44, 70, -48, 4, -24, -427, -25, -138, 112, -5, -102, 96, -79, -40, 16, -61, -173, 468, 71, 119, 159, -17, 145, -69, -50, -54, -103, -70, -80, -37, -4, -156, 159, 20, -105, -7, 6, -232, -8, -67, -150, -12, -38, -58, 130, -260, -49, 42, 77, 196, -225, 258, 182, 11, 9, 28, 77, 0, 14, 344, -87, 26, -195, -20, -183, 23, -99, -217, 128, 94, -109, -245, 41, -150, 222, -1, -301, 38, 7, 312, 267, 217, 95, 65, -87, -77, 199, 91, -65, -48, 13, -233, 9, -1, 328, -437, 76, 91, 67, 173, 197, -407, 60, -37, -15, 43, -170, -163, 49, 120, 84, 4, -62, 1, -222, 344, 43, 100, -28, 73, -60, -246, 148, -19, -10, -18, 110, 53, 92, -16, 23, -286, -133, -22, 157, 14, 10, 100, 28, -235, 219, 191, 184, -211, -104, 2, -123, 83, -7, 69, -24, 420, 232, -24, 69, -285, 38, -248, 41, 74, 176, 120, 105, -41, -126, -40, 54, 64, 32, 285, -49, 107, -232, 48, 5, -80, 175, 37, -28, 177, -151, -426, 123, 19, 166, 88, -50, 116, 13, -53, -308, 223, -8, -165, -173, -13, -155, -428, 99, 140, 204, -64, -125, -55, -77, 276, 162, 32, 36, -40, -63, -279, 226, -54, 55, 0, 73, 135, -89, -20, -157, 122, -156, -158, 7, -8, 31, -595, -10, 254, -234, 195, 147, 68, -9, 36, 31, 34, 28, 327, 140, 58, 103, -20, -252, -468, -65, 51, 70, -153, 48, -397, -110, -65, 148, -80, -211, -23, -2, 385, 127, 95, 290, -17, 28, 100, 5, -84, -69, 200, -60, -412, 21, 1, 152, -162, 126, 192, 174, 141, -218, 521, -101, -85, -131, -32, -56, -283, 9, 356, -245, 16, -111, -182, -52, -71, -65, 127, -26, -18, 28, -543, 105, -36, 232, -143, 101, -133, 34, -114, 141, -404, -20, -117, -193, -195, -259, -182, 4, -66, 16, 153, -134, -99, -188, 23, 99, -41, -4, -30, -119, -34, 134, 81, 67, -435, -94, -382, -33, 167, -3, -170, 42, -204, 115, -32, -455, 21, -18, 269, -186, 29, 113, -4, 13, 19, 30, -118, -21, -182, 205, -38, 7, 1, -129, -472, 46, 216, 108, 63, -299, 110, -11, -66, -106, -142, -100, -331, 20, 516, 101, -54, 221, 53, -207, 56, -285, 124, -33, -141, -70, -390, 300, -27, 55, -296, -36, -654, 144, 59, 127, 164, -40, -29, 38, -135, -174, -193, 28, 159, -159, 141, 238, 3, 3, 100, -93, -47, -56, 7, -105, 148, -102, -10, 179, -123, -37, -221, 23, -115, -248, -446, -50, -28, 56, -17, -267, -300, -19, 427, 410, -151, -86, -180, -57, -77, 207, -43, 4, -210, -37, -426, 109, 34, -320, 96, 67, -260, 8, -20, 83, -331, 9, -60, 59, 199, -208, -457, 19, 254, -314, 44, 141, -21, -126, 164, 90, 45, 40, 89, 20, -76, -184, -2, 45, -122, 83, -224, 19, -117, -81, -19, -22, -321, 223, -234, -347, -322, 21, 214, 97, 262, -132, -13, -76, -171, 57, -10, 16, 68, -3, -399, 20, -6, -44, -838, -33, -221, 70, -1, 135, 292, 116, -80, -3, -111, 124, 50, 13, 68, -101, 190, -74, -46, 5, -223, 227, -131, -75, -14, -70, -50, -32, 1, 13, -271, -34, -288, 70, 36, -88, -66, -51, -208, -381, 219, -119, -179, 74, -77, 148, -60, 7, -18, -109, -460, -481, 30, -102, 159, -33, -253, 34, -24, 266, -49, 181, -25, 53, 36, 109, -505, -21, 14, -174, -136, 174, -117, -1, 233, -257, 171, 197, -99, -62, -157, 234, 3, 141, -92, 68, -156, -281, -24, 110, -368, -68, -232, -15, 80, -311, -2, -154, 21, -90, -52, -317, -104, -39, 476, 51, -70, 137, -43, -19, -279, -18, -66, -106, -11, -63, -358, -4, 9, -144, 391, 77, -236, -7, 17, 435, -314, 12, -224, 43, -256, 84, -676, 20, -131, -134, -60, -146, -5, -117, 278, -30, -65, -81, -382, -157, -260, 139, -16, 41, -120, 141, -118, -110, 6, -285, -227, -169, 11, -168, -111, -155, -154, 19, 43, 134, 24, 11, 52, -82, 127, -216, -16, -73, -393, -43, 39, 76, 108, 61, -331, 17, -42, 91, -21, -134, -152, 69, -195, -276, -6, -280, -24, 47, 2, -140, 79, 176, -53, -54, -69, -114, 13, 102, 221, 60, 11, -137, 46, 366, -44, 63, -267, 146, -53, -167, -152, -75, -93, -284, -190, 45, 238, 20, 264, 100, -60, 394, -180, 48, 345, 175, -81, -51, 498, -47, 14, -123, -30, -61, -225, -73, -360, 26, -18, -12, 100, -146, -26, -198, 210, -194, -164, 7, -249, -377, 114, 194, -55, -68, -175, 154, -3, 19, -76, -35, -285, -72, 117, 38, -361, -1, -203, -19, 22, 57, 209, 139, -117, -510, -108, -140, -69, -3, 64, 246, 91, -37, 4, -60, -260, -35, -60, 5, -180, 70, -319, 153, 21, -15, -268, 1, -215, -145, 60, -26, -362, 48, -147, -238, 212, -353, -316, 21, 182, -266, 36, -141, 40, -209, 463, -148, 97, -17, -586, -7, -21, -224, -50, -12, -254, 60, -24, 218, -46, 58, -439, -75, -50, -4, -66, -141, -448, 31, 146, -15, 317, 536, 35, -13, 128, -143, -16, -20, -348, -99, 170, -6, 5, 108, -389, -158, -112, 6, 33, 145, -137, 106, 16, -171, -24, 71, -287, -32, 195, -437, 42, -522, 15, -73, -197, -49, -170, -34, -42, -54, 64, -148, 7, -218, -232, 100, 109, -3, -283, -364, 62, 18, -81, -275, 15, -528, -115, 97, 456, -20, -53, 63, -188, -258, 221, -65, 295, 73, -66, -181, -72, 363, -9, 169, -286, -34, -395, -71, 29, 63, -358, 24, -55, 13, -115, -86, -128, 20, 353, -81, 190, 301, 33, 170, -87, 136, 35, 82, -215, 137, 31, -353, -2, -306, -524, -49, -240, 139, -14, -267, 130, -26, -117, -82, -26, -215, 32, -38, -125, 142, 249, 61, 2, -53, 54, -380, 244, -2, -165, -1, -208, -160, 46, -17, -496, 95, 316, 115, -147, 309, 13, -19, -32, -226, -235, -85, -202, 111, 239, -243, 34, 18, -9, 61, 78, -292, 211, -15, -45, -2, -412, 50, 85, 215, -151, 36, -57, -7, 21, -467, 238, 60, -19, -294, -94, 56, 132, -18, 160, 126, 194, 65, -59, -159, 26, 128, 125, -58, -192, -153, -68, 31, -49, 382, -339, -17, -466, -165, -9, 370, -85, 60, -100, -160, -105, -447, -450, 18, 52, -378, 406, 125, -47, -89, 357, 188, -145, -5, -44, 52, 163, 8, 35, -106, -269, 128, -233, 26, -42, -319, -8, 44, -168, -296, 53, 218, -16, 39, -159, 191, -3, 353, 67, -207, -59, -469, 214, 50, -310, -32, -517, 97, 0], "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": "6015.2.a.c", "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}