# Stored data for newform 847.2.u.a, downloaded from the LMFDB on 20 April 2024.
{"label": "847.2.u.a", "space_label": "847.2.u", "level": 847, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1374423089999, "dim": 1720, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 33, "char_parity": 1, "char_degree": 20, "char_conductor": 847, "char_orbit_label": "u", "char_is_real": false, "Nk2": 3388, "analytic_conductor": 6.763329051202448, "level_radical": 77, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [847, 33, [122, 365], [11, 21]], "inner_twist_count": 4, "level_primes": [7, 11], "conrey_indexes": [23, 67, 100, 144, 177, 221, 254, 298, 331, 375, 408, 452, 529, 562, 639, 683, 716, 760, 793, 837], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 86, "sato_tate_group": "1.2.3.c33", "trace_display": [-11, -20, -7, -24], "traces": [1720, -11, -20, 73, -7, 8, -24, -32, -844, -39, -22, 49, -28, -8, -26, 61, -17, -2, -13, -76, 13, -132, 23, -36, 75, 7, 28, -38, -20, 51, -5, -23, 59, 4, -16, -18, -52, -13, -46, 110, -52, 33, -48, -4, 60, -45, -19, -2, -92, -68, 127, -75, -97, -213, -60, -18, -18, 54, -7, -20, -23, -64, 125, -412, 19, -46, 7, -27, -6, -40, -24, -11, -25, 29, 81, 184, -284, 2, -55, 7, -772, 27, 8, -1, -232, -37, -38, 23, -126, 448, 17, 416, 2, 144, 69, -47, -62, 96, 330, -115, -19, 24, 175, 316, 67, 60, 179, 118, 5, 1, 200, -648, -12, 151, -3, -32, -52, -72, -74, -32, -16, -26, -14, -30, 78, -142, -68, 95, -89, 202, -51, -332, 96, 250, -3, 11, 59, 17, -218, -41, 230, -67, -30, 152, -119, -48, 92, -424, -17, -10, 37, -124, 288, -10, -120, 91, 7, 224, -41, 436, 42, 72, -29, -61, -28, 145, 102, -233, -308, 139, 265, -227, -3, 426, -410, -358, 87, -215, 43, -34, -52, 69, 190, -319, -17, -92, -11, 120, -30, -224, -25, -252, 17, -154, -82, 236, -190, 110, -76, 9, 61, -160, 108, 10, 99, 7, 306, 255, -172, -618, -464, -38, -20, 198, 154, -152, -228, -934, 281, 311, 259, 359, -96, 208, -536, 97, 163, -2, 139, 192, 217, -386, 164, 762, -9, -381, 318, 148, -432, 301, -28, 66, -132, 88, 170, -614, 109, 419, -104, -77, -228, 913, -372, -113, 230, -103, -133, -34, 282, -1112, -103, 269, -102, 59, 112, -237, -236, 134, 150, -18, 23, -648, -331, -402, -11, -102, -21, -448, 176, -421, 100, -24, -11, 45, 57, -60, 292, 148, 217, -339, -196, 933, 240, 408, -620, 709, -161, -65, -171, 750, 140, -646, 177, -559, 127, 6, -660, 599, 306, 55, 69, -10, 19, 20, -138, -198, -141, -384, 61, -306, 498, 276, -832, -378, -9, -12, 35, -120, 31, 610, 353, -167, -37, -129, -732, -528, -200, 71, 36, -279, -131, 436, 300, 382, -192, -5, 179, 332, -88, 359, -20, -281, 1, -138, 399, -164, -289, -540, -100, 1044, -5, 290, 282, -176, 208, -828, 371, -183, 42, -44, 162, 1988, -489, 499, 150, 238, 484, -33, 104, -702, 400, 600, 293, 1482, 993, 396, -419, 239, -15, 1040, -632, 118, 342, 208, -23, 221, -95, -2340, -526, 80, 432, -76, 368, -322, -838, 534, 300, -231, -47, 11, -3, -420, 179, 772, 1, -63, -124, -19, -372, 79, -256, 25, 36, 367, -237, -554, 305, 240, -300, -633, -221, -218, -1260, 236, 454, 360, -81, -75, -140, 186, -10, -104, 41, -336, 409, 53, 326, 204, 388, -322, 399, -358, 33, -736, -1196, 1222, 364, -330, 249, -179, 248, -1173, 66, -79, -544, 686, -144, 724, 23, 1658, -57, -393, 163, 25, -1008, 178, 1110, 630, -567, 392, 382, 946, 122, 388, 368, -416, 494, 191, 284, -64, 184, -141, -614, 612, 430, -2440, 396, 282, 177, -561, 148, 285, 76, -728, 22, -311, -168, 1137, 321, 1034, 274, -336, -283, 11, 179, 49, -1364, 84, 250, 936, -517, 385, -210, -2336, 189, 132, -251, -138, -71, -577, 168, 1035, -142, -501, -81, 122, -133, -1196, 474, -688, -310, -443, -496, 17, -72, 363, -424, -113, 566, -26, -164, 386, 208, -8, -169, -519, -16, -64, 232, 11, 766, -104, -311, -750, -68, 0, -30, 492, 85, -774, 51, 621, 544, 1270, -160, 960, 31, -348, 463, -996, -137, 174, 509, -663, -52, -369, -308, -63, 98, 582, 22, -157, -186, -728, 336, 1084, 99, -9, 162, -209, -360, 372, 154, -94, -260, -826, -67, -236, -40, -966, 277, 541, -244, -826, 316, 967, -1036, 329, -193, -571, -313, 352, 527, 750, 255, -341, -911, -781, -44, -634, -16, -52, 328, -327, 416, 130, 307, 208, 16, 2123, -141, 31, -20, -1602, 712, 125, 633, -669, -349, -558, -766, 576, -310, 908, 350, -745, 700, 9, 1134, -913, 207, 546, -195, 948, 415, 1874, -77, -564, -302, 857, 588, 456, 276, -205, 721, 419, -320, 304, -25, -162, 75, -401, 109, -686, -144, 1332, 82, 259, -213, -1396, -143, -462, 42, 562, -181, 912, -97, 666, -516, 1377, 676, -138, 280, -7, -173, -52, 243, 526, 359, -377, -372, -921, -1600, -53, 550, -79, 282, -74, -705, 1828, 750, -608, 148, -335, 1100, -1060, 456, 492, 1196, 327, -138, -961, -45, 1528, -316, -318, 5, 1836, -130, -1034, 1500, -500, -796, -760, -839, -15, -540, 2692, -407, 1628, 161, -411, -508, 79, 810, -1791, 236, 51, 497, -273, 694, 1450, 366, 644, 370, 346, -66, 1178, 1048, -1260, -514, 899, 34, 676, -235, -2246, -661, -1090, 493, 1048, 248, 1017, -772, -122, -992, -191, -537, 648, 559, 628, -409, -1896, -139, -73, -312, 1037, 16, -466, -732, -431, -191, -175, -513, -266, -39, -2132, -118, -1427, -214, -811, 62, 364, -574, -257, 83, -1359, 229, -270, -712, -28, -555, 776, -427, 379, -738, 0, -796, -572, 558, -667, -275, -166, -1791, -534, 191, -69, -632, -54, -408, -3158, -152, -1047, -68, -654, -319, -1504, 15, 1220, 159, -2144, -359, 377, -428, 279, -900, -390, -486, -1264, 1033, 1034, -59, 552, -282, -607, -29, -319, -1858, -523, -2408, 623, -925, -71, -269, -1288, 432, -1056, 322, -499, -616, 459, 1616, -930, 466, -1206, 148, -607, 1130, -602, -94, -2516, 98, -55, -161, -603, -132, -966, -78, 812, -550, -1236, -382, -836, 562, 744, -406, 96, -23, -518, 608, 997, -4, 725, -367, 839, -548, 1334, 103, -1452, 345, 1615, 502, -204, 2212, -391, 464, -283, 768, 0, 81, 448, -785, 132, -515, 315, 831, -1766, 1506, 111, 1110, 233, 1056, 800, -43, 2308, -1040, 2506, -787, 802, 331, -247, 2044, 781, 202, 1012, 551, 542, -43, 2422, -1108, -246, 579, -343, 1482, 313, -1092, -55, 860, 808, -148, 827, 54, -1478, -401, -1624, 440, -1059, 528, -257, 824, 1156, -154, 170, -37, 886, 383, 1136, 206, 436, 45, -783, 217, -564, -774, 0, -3184, 315, -586, 205, -772, 2006], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 121, 5, 1, 11, 0], [1, 1, 847, 21, 1, 33, 0]], "char_orbit_index": 21, "prim_orbit_index": 21, "minimal_twist": "847.2.u.a", "char_is_minimal": true, "conrey_index": 23, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": 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, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}