# Stored data for newform 210.3.q.a, downloaded from the LMFDB on 25 April 2024. {"label": "210.3.q.a", "space_label": "210.3.q", "level": 210, "weight": 3, "hecke_orbit": 1, "hecke_orbit_code": 1099561959634, "dim": 64, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 105, "char_orbit_label": "q", "char_is_real": false, "Nk2": 1890, "analytic_conductor": 5.722085551566235, "level_radical": 210, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [210, 6, [71, 127, 31], [3, 3, 2]], "inner_twist_count": 8, "level_primes": [2, 3, 5, 7], "conrey_indexes": [149, 179], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "2.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [64, 0, 0, -64, 0, 8, 0, 0, -4, -8, 0, 0, 0, 0, 4, -128, 0, 0, 8, 0, -88, 0, 0, -8, 12, 0, 0, 0, 0, -8, 152, 0, 0, 0, 0, 16, 0, 0, -208, -16, 0, 0, 0, 0, 106, -56, 0, 0, -64, 0, -140, 0, 0, -56, 616, 0, 0, 0, 0, -4, 104, 0, 0, 512, 0, -160, 0, 0, 456, -144, 0, 0, 0, 0, 298, -32, 0, 0, -360, 0, 304, 0, 0, -80, -408, 0, 0, 0, 0, -688, -288, 0, 0, 240, 0, -16, 0, 0, -568, 24, 0, 0, 0, 0, -440, -64, 0, 0, 776, 0, 136, 0, 0, 352, -532, 0, 0, 0, 0, 32, 936, 0, 0, 304, 0, 700, 0, 0, 152, -56, 0, 0, 0, 0, 344, 0, 0, 0, -2176, 0, -352, 0, 0, -16, -472, 0, 0, 0, 0, 456, -824, 0, 0, 1024, 0, -416, 0, 0, -596, 64, 0, 0, 0, 0, 790, -424, 0, 0, -96, 0, -1172, 0, 0, 1512, 2172, 0, 0, 0, 0, 212, -1584, 0, 0, -112, 0, 288, 0, 0, -980, -832, 0, 0, 0, 0, -2984, -656, 0, 0, -1064, 0, 288, 0, 0, 560, -480, 0, 0, 0, 0, -376, 2528, 0, 0, 536, 0, 224, 0, 0, 1292, -616, 0, 0, 0, 0, 3132, 1312, 0, 0, 600, 0, 3620, 0, 0, -128, -780, 0, 0, 0, 0, -8, 2728, 0, 0, -416, 0, -2040, 0, 0, -2012, -1144, 0, 0, 0, 0, 1658, -512, 0, 0, -168, 0, -2568, 0, 0, -320, 5080, 0, 0, 0, 0, -208, -392, 0, 0, -1120, 0, -456, 0, 0, 2088, 192, 0, 0, 0, 0, 494, -1856, 0, 0, -2984, 0, 2696, 0, 0, -2348, -2408, 0, 0, 0, 0, -1192, -4384, 0, 0, 32, 0, 320, 0, 0, -2064, -832, 0, 0, 0, 0, -3874, 1440, 0, 0, 960, 0, 5328, 0, 0, 608, -2024, 0, 0, 0, 0, -176, 2632, 0, 0, 2296, 0, 512, 0, 0, 2328, 408, 0, 0, 0, 0, 2322, 2032, 0, 0, 2448, 0, -3872, 0, 0, -224, 256, 0, 0, 0, 0, 688, -2952, 0, 0, 1440, 0, -2116, 0, 0, 1476, 3056, 0, 0, 0, 0, -868, 480, 0, 0, 3552, 0, -6804, 0, 0, 64, 3752, 0, 0, 0, 0, 2120, -4592, 0, 0, -2288, 0, 568, 0, 0, -2528, -96, 0, 0, 0, 0, -6172, -4736, 0, 0, -856, 0, -1876, 0, 0, 4392, -1928, 0, 0, 0, 0, -172, 1312, 0, 0, 64, 0, 3392, 0, 0, 1112, -3360, 0, 0, 0, 0, 3576, 1552, 0, 0, -4168, 0, 5944, 0, 0, -136, 1300, 0, 0, 0, 0, 1016, 7776, 0, 0, 544, 0, -1408, 0, 0, -2032, -1064, 0, 0, 0, 0, 4038, -1168, 0, 0, 4232, 0, -5612, 0, 0, -3008, 1800, 0, 0, 0, 0, -32, 2272, 0, 0, -3744, 0, -3196, 0, 0, -4656, 2600, 0, 0, 0, 0, -122, -1216, 0, 0, 24, 0, 2324, 0, 0, -1408, -7432, 0, 0, 0, 0, -3752, -5704, 0, 0, 112, 0, 304, 0, 0, -328, -112, 0, 0, 0, 0, -8058, 7248, 0, 0, 120, 0, 10504, 0, 0, 2308, -5084, 0, 0, 0, 0, -1376, 8880, 0, 0, 0, 0, 7456, 0, 0, 5312, 2216, 0, 0, 0, 0, 5714, 2176, 0, 0, 4896, 0, -7160, 0, 0, 352, -2032, 0, 0, 0, 0, 4544, -1080, 0, 0, 5376, 0, -32, 0, 0, 5820, 1888, 0, 0, 0, 0, -1228, -1328, 0, 0, 1360, 0, -10464, 0, 0, -4064, 11192, 0, 0, 0, 0, 912, -23456, 0, 0, -1648, 0, 1252, 0, 0, -300, 5984, 0, 0, 0, 0, -3576, -2272, 0, 0, -8360, 0, -4620, 0, 0, 1664, -7828, 0, 0, 0, 0, -460, 10080, 0, 0, -4096, 0, 2384, 0, 0, 1160, -64, 0, 0, 0, 0, 9304, 4224, 0, 0, -3176, 0, 12564, 0, 0, -1260, 4124, 0, 0, 0, 0, 1580, 8056, 0, 0, 1696, 0, -7744, 0, 0, 1172, -2536, 0, 0, 0, 0, 4028, 96, 0, 0, -1712, 0, -7936, 0, 0, -2344, 7048, 0, 0, 0, 0, -3504, 7480, 0, 0, -14768, 0, -1512, 0, 0, -9960, -744, 0, 0, 0, 0, -3530, -7008, 0, 0, -224, 0, 6340, 0, 0, -11152, -16240, 0, 0, 0, 0, -848, -17872, 0, 0, 1584, 0, 1588, 0, 0, 2000, -360, 0, 0, 0, 0, -12700, 448, 0, 0, 3864, 0, 21424, 0, 0, 576, -5964, 0, 0, 0, 0, -2264, 8296, 0, 0, 3536, 0, 5960, 0, 0, 7884, 832, 0, 0, 0, 0, 8518, 2424, 0, 0, 25216, 0, -9976, 0, 0, 4060, 3996, 0, 0, 0, 0, 2984, -6976, 0, 0, 1568, 0, -7168, 0, 0, 8976, 3168, 0, 0, 0, 0, -4858, -2128, 0, 0, 1264, 0, -12956, 0, 0, -1152, 18004, 0, 0, 0, 0, 4240, -12320, 0, 0, -4768, 0, -560, 0, 0, -776, 1920, 0, 0, 0, 0, -6356, -7728, 0, 0, -7800, 0, -2836, 0, 0, 16960, -9952, 0, 0, 0, 0, 352, 15696, 0, 0, -2528, 0, 11728, 0, 0, -536, -7584, 0, 0, 0, 0, 10700, 1072, 0, 0, -5064, 0, 12384, 0, 0, -224, -76, 0, 0, 0, 0, 2052, 22672, 0, 0, -2464, 0, -5168, 0, 0, -2680, -1232, 0, 0, 0, 0, 5738, 744, 0, 0, -4952, 0, -10388, 0, 0, -6948, -3480, 0, 0, 0, 0, -3132, 2440, 0, 0, -5248, 0, -4688, 0, 0, -16712, -1920, 0, 0, 0, 0, -4958, -2400, 0, 0, -5768, 0, 644, 0, 0, -7856, -2824, 0, 0, 0, 0, -5568, -20408, 0, 0, 2984, 0, -256, 0, 0, -2360, -1560, 0, 0, 0, 0, -15592, 13984, 0, 0, -768, 0, 17576, 0, 0, 3200, -6908, 0, 0, 0, 0, 32, 5464, 0, 0, 5456, 0, 12144, 0, 0, 13196, 7232, 0, 0, 0, 0, 9060, 416, 0, 0, 28240, 0, -14592, 0, 0, 2040, 8048, 0, 0, 0, 0, 8732, -6856, 0, 0, 18976, 0, -4024, 0, 0, 9272, 4576], "weight_parity": -1, "has_non_self_twist": 1, "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], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 21, 8, -1, 6, 0], [1, 1, 35, 10, 1, 6, 0], [1, 1, 105, 15, -1, 6, 0]], "char_orbit_index": 17, "prim_orbit_index": 15, "minimal_twist": "210.3.q.a", "char_is_minimal": true, "conrey_index": 149, "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}