# Stored data for newform 240.3.bn.a, downloaded from the LMFDB on 20 April 2024.
{"label": "240.3.bn.a", "space_label": "240.3.bn", "level": 240, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 2680109924592, "dim": 64, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 16, "char_orbit_label": "bn", "char_is_real": false, "Nk2": 2160, "analytic_conductor": 6.5395263446471255, "level_radical": 30, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [240, 4, [31, 181, 161, 97], [2, 1, 4, 4]], "inner_twist_count": 2, "level_primes": [2, 3, 5], "conrey_indexes": [91, 211], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "2.2.3.c4", "trace_display": [0, 0, 0, 0], "traces": [64, 0, 0, -24, 0, 0, 0, 0, 0, 20, -64, 0, 0, 72, 0, -36, 0, -24, 32, -80, 0, 48, 256, -36, 0, 0, 0, 240, -64, 0, 0, -40, 0, -76, 0, -12, 192, -280, 0, 0, 0, 0, -192, -280, 0, -300, 0, 0, 448, -40, 96, 104, 320, 36, 0, 112, 0, 64, 128, 0, 32, 48, 0, 48, 0, -72, -64, 280, -96, 240, -512, -120, 0, -608, 0, -308, -448, -360, 0, 0, -576, -200, 0, -144, -160, -560, 0, -184, 0, 0, 576, -56, 0, 460, 0, 360, 0, 368, -192, -20, 0, 912, -768, 1224, 0, -480, 0, 0, 800, 0, 0, 1432, 0, -252, -160, 360, 0, 176, 1280, -360, 0, 248, 576, -88, 0, 0, 0, -1344, 0, -80, -320, -504, 0, -1448, 0, 156, 0, 144, -992, 280, -288, -1456, 0, 144, 0, 72, 0, -232, -704, 60, -640, 104, 0, 32, -640, 792, 0, 2256, 0, 700, 0, 0, -640, 736, 0, 72, 0, -840, 0, 240, -96, 2152, 0, -360, 0, -1312, 0, 48, 64, 0, 352, 896, 0, 892, 0, 840, -704, -312, 0, -940, 0, 1152, 128, 1120, 0, 312, -832, 120, 512, -200, 0, 2168, 2048, -396, 0, 1760, 0, -344, 0, 0, -32, -48, 0, -1632, 0, -216, 0, -1016, 768, 0, -128, -1464, 0, -4104, -960, -1100, 1152, 672, 800, 800, 2304, -3432, 0, 456, 160, -736, 0, -1224, 0, 540, 896, -488, 0, -60, 640, 576, -3840, 2288, 0, 0, -512, 168, 1024, 3240, 0, 356, 0, 888, -1088, -320, -192, 2552, -1536, 0, 0, -1736, 0, -1784, -896, 0, 0, 2568, -1152, 1252, -320, -1404, -320, -2360, -384, -1360, 0, 1008, -1472, -2776, -480, -480, 0, 336, 1088, -360, -576, -1352, 0, -288, 0, 1080, 0, -1544, 1984, 0, 1600, -2944, 0, -2332, 0, -84, 320, 976, 0, 1960, 1024, -1752, 0, -1672, 0, 192, -1088, 96, 0, 1200, 0, -696, 4480, 216, 0, 472, 3072, 1768, 0, 0, -1504, 304, -576, 3460, 0, -72, 0, -440, 1248, -420, -1408, 600, 1536, 2864, 0, 480, -1408, -1512, 352, 0, 0, 5120, 0, 1008, 960, -32, 576, -1208, -2048, -60, 0, -648, -1152, -736, 0, -516, 0, -3288, 0, -1120, 128, -1344, 1664, -4104, 0, -356, 0, -648, 928, 1520, 0, -4456, 0, -1500, 0, 1672, -576, -720, -448, 840, 4480, -6304, 0, -3336, 1280, 864, -1344, 3856, 0, 240, 0, -1848, 128, 584, 0, -2464, 1280, 144, 0, 1880, 1824, 1344, -320, 348, 0, 736, -1920, -552, 2816, 0, 1184, 7208, 0, 5520, 0, 1800, -960, 3072, 1728, -2600, 0, 288, 0, 1504, 0, 1244, 1600, -1272, -3072, -1800, 0, 4992, -5248, -168, 1920, -544, 0, -2208, 512, 0, -2944, -2280, 0, -5480, -2560, 1884, 0, 4424, -288, 1660, -2240, -960, 0, -3272, 0, 3108, -2432, 1080, -768, 1200, -4608, -3256, 0, -960, -160, -2984, -960, 3776, 0, 600, 2176, -3936, -1344, 6220, 0, 0, 2304, 2200, 0, 1260, 640, 1176, 2880, 4392, 0, -1120, 3584, 1968, 160, 0, -672, 6848, 8192, 1944, 0, -2856, 2304, 952, -1856, -780, 0, 6840, 0, -588, 1600, -1008, -3456, -2272, 384, -3080, 0, 312, 1344, 496, 0, 3596, 0, -912, -3136, -2560, 384, -5960, -5120, -3168, 640, -1352, 0, -3136, -1728, -180, 1056, -10416, 0, -5796, 0, -576, -2880, -1736, 96, 200, -1792, -96, 0, -752, 0, -3524, 768, 480, 0, 2400, 0, 520, -6272, 180, 160, 2920, 0, 4256, 0, -1080, 6752, 2016, 2880, 3936, 0, -636, 0, -4656, -2880, -640, -1728, 576, -5376, 1992, 0, 960, -1792, -4800, -2368, -2600, 0, 7560, 0, 864, -640, 4640, 0, 752, 2048, -360, 0, 2064, 192, -1856, 0, 3192, 0, -2408, 0, 1260, -2112, -1176, -1216, -3040, 0, 2816, 0, -4704, -4512, 2240, 288, -3424, 0, -2448, -1600, 4648, 2880, 8224, 3520, 360, -4096, -9600, 0, -1136, -2240, 1632, 1536, 1056, 0, 840, -128, -192, 2560, 3800, 0, -4456, -7680, 0, 0, 760, -4416, 0, 1600, 3492, 0, 5720, 0, 4824, -2048, 1800, 2336, 9400, 0, 7104, 0, 1512, 7616, 5016, 0, -3080, 0, -384, -7680, 4152, 0, -9796, 4160, -2496, 3328, -1600, 0, -1120, 6528, -684, -800, -5072, 0, -1112, -896, 1620, 5408, -3664, -1344, -5008, 5120, 3432, 0, -88, 1824, 280, -5376, -360, 0, -104, 0, -7628, -1664, 5880, 3040, 2200, 768, -3888, 0, 264, 1600, -3376, 0, 1352, 0, 480, 4096, -2808, 1152, -284, -320, -3588, 1536, -1504, 0, -1120, 256, 1248, -5056, 3096, 0, -3252, 8704, 2952, -4448, -4080, 768, 1392, -13568, 4176, 0, -1872, 0, -104, -2496, 0, 0, 9928, 0, 8048, -1920, 648, -448, -760, -3840, -3100, 0, 2328, -3008, -2312, 480, 1900, 0, -192, -384, -4640, -4896, 4640, 6080, -2160, -640, -112, 0, -4296, 4928, -2520, -896, -8720, 0, -9324, 0, -2880, 5824, -8560, 4896, 2600, -1792, -48, 0, -1408, 0, 1008, 5440, 1848, 0, 560, 0, -8080, 14464, -264, 0, 6576, 6144, -432, 0, -180, -6048, 3568, 2304, 8800, 0, -3084, -5888, -10624, 1728, -200, 704, -2880, 1792, 2584, 0, 1584, 2048, 216, -544, -1040, 0, 808, 256, -636, 1440, 5464, 0, -4392, 1280, -1200, 0, -248, -1344, -5108, 3200, -84, 0, -1952, 3456, -140, 3520, -3312, 3904, 2232, 0, 4888, 0, -6864, -800, 3840, 0, -6616, 0, 36, 1920, 4616, -3456, 6672, -7104, 1200, 15360, -6712, 0, 6696, 0, 4824, -6016, 2768, 0, 2840, 1792, -3384, -1536, 2536, 0, -7696, 0, 648, 0, 2520, 576, 6376, 448, 1440, 0, 1040, 0, 12216, 8064, 360, -3136, 2896, 0, 1516, 0, 4464, -1920, 8864, 0, -80, 0, -1248, -2304, -4384, -480, -4044, -2240, 0, 1152, -960, 0, 5072, -13696, 288, -960, -6392, 0, -6144, -2176, 1800, -9760, 952, 0, -5456, -8960, 2016, 0, 11904, -4416, -2380, -4224, 528, 0, -1224, 0, -5936, 2432, 6912, -10176, 1000, -5376, -2600, 0, -1440, -1920, -3496, 3840, -1808, 0, 1440, -1728, 2480, 0, -3216, 0, -984, 12800, 1112, 0, -3480, -2304, 0, 768, -1504, 0, -4236, 11776, 6960, 2432, -4560, 2400, 2288, 13056, 3816, 0, -6960, 1728, -16336, 2688, -600, 0, 5088, 5760, 2832, 2560, -3024, 1152, -2584, 0, -100], "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, 16, 6, -1, 4, 0]], "char_orbit_index": 40, "prim_orbit_index": 6, "minimal_twist": "240.3.bn.a", "char_is_minimal": true, "conrey_index": 91, "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}