# Stored data for newform 315.2.bx.a, downloaded from the LMFDB on 19 April 2024. {"label": "315.2.bx.a", "space_label": "315.2.bx", "level": 315, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 3367287914811, "dim": 176, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 315, "char_orbit_label": "bx", "char_is_real": false, "Nk2": 1260, "analytic_conductor": 2.5152876636703323, "level_radical": 105, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [315, 12, [281, 127, 136], [2, 3, 4]], "inner_twist_count": 4, "level_primes": [3, 5, 7], "conrey_indexes": [2, 32, 128, 158], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 44, "sato_tate_group": "1.2.3.c12", "trace_display": [-6, -2, 0, -2], "traces": [176, -6, -2, 0, 0, -24, -2, 0, 0, -4, 0, -22, -4, 0, -14, 68, -18, -10, 0, -12, 20, 4, 0, 0, -4, 0, -32, -4, 0, -20, 4, -90, 32, 0, 0, 8, -4, 0, 0, -36, -36, 14, -4, 0, -68, 4, -6, 38, 0, 36, 20, -52, 0, 0, 4, -96, 32, -12, 0, -74, -8, 0, 14, 0, -78, -92, 2, 0, 0, -42, 0, -46, -4, 0, 54, -24, 42, 54, 0, 36, 20, -8, -12, 0, -4, 0, -28, 12, 0, -24, -16, 72, 4, 0, -66, 0, -4, 12, 0, 12, 0, 84, -52, 0, 102, -8, 54, 120, 0, 198, 40, -14, -120, 0, -4, -252, 100, 0, 0, -80, 0, 144, 86, 0, 0, -232, -64, 174, 0, -2, 0, 342, -48, 0, 34, -24, 0, -122, 0, -126, 28, -26, 6, 0, 6, 48, -164, -20, 0, 124, 16, -60, 8, 0, -108, -188, 2, 18, 0, 32, 192, -90, -22, 0, 124, 16, 108, -224, 0, 102, -20, -4, -234, 0, -2, 144, -56, 12, 0, 46, -8, 180, -6, 0, -54, 128, 46, 0, 0, -144, 60, 186, -22, 0, 156, 0, 0, 128, 0, 0, 116, 4, 114, 0, 22, 180, -114, 74, 0, -98, -20, 0, -156, 0, -228, 188, -58, 96, 0, -18, 216, -46, -10, 0, 204, -8, 0, -278, 0, 318, 92, -60, -240, 0, -4, -12, -122, -38, 0, 28, 88, 378, -72, 0, 258, -272, 96, 222, 0, 50, 0, 372, -20, 0, 112, 20, 0, -226, 0, 0, 148, 100, 0, 0, -76, -300, -48, -86, 0, -24, -8, -372, 212, 0, 0, 88, -4, 504, 0, 78, -204, 194, -70, 0, -260, -52, -282, -380, 0, 0, -164, -148, -156, 0, -78, -456, 16, 84, 0, -202, 32, -192, 52, 0, 156, -604, 104, -276, 0, 76, -84, -276, 2, 0, -40, 96, -96, 74, 0, 0, -344, -184, 0, 0, 26, 0, -378, 12, 0, -230, 52, -318, -108, 0, -180, 580, -70, 0, 0, 100, 264, -392, 52, 0, 0, 4, -378, 386, 0, -36, 68, 52, 0, 0, 16, -264, -90, -24, 0, -224, -64, -18, 206, 0, 204, 224, 56, 24, 0, -36, -192, 362, 56, 0, -286, -132, 0, 72, 0, -264, -216, -38, 0, 0, -40, 0, -204, 40, 0, 246, -8, 312, 236, 0, -18, 284, 92, 468, 0, -76, 0, -192, 172, 0, -90, 180, 342, 80, 0, -126, -156, -64, 144, 0, -76, 0, 314, 456, 0, 242, 76, 300, 320, 0, 426, 476, -52, -204, 0, 76, -432, 616, -112, 0, -4, -240, -114, 392, 0, 0, -352, -248, 288, 0, -18, 0, 434, 260, 0, -230, -100, 0, -314, 0, -168, 112, 50, -462, 0, 140, 408, -636, -4, 0, 298, -8, -72, 258, 0, -192, -180, 30, 90, 0, -90, 636, 46, -84, 0, 596, 40, 474, -318, 0, 354, 72, 56, -834, 0, -114, 348, -114, -72, 0, 176, -464, 174, 268, 0, -576, 212, -86, 0, 0, 136, 564, 128, 22, 0, 392, 68, 0, 18, 0, 0, 760, -8, 90, 0, -162, 48, -192, -40, 0, -338, 148, 0, -302, 0, -786, 452, 0, 288, 0, -124, 816, 18, -60, 0, 576, -56, 0, -266, 0, 198, -44, 68, -492, 0, 130, 72, -418, -12, 0, -10, -240, 432, -84, 0, 432, -188, 124, 126, 0, -40, 0, 488, 384, 0, -300, -20, 0, -424, 0, 0, 564, -124, 0, 0, 282, -288, -210, 34, 0, 96, -152, -606, 292, 0, 0, 212, 284, 540, 0, 108, -540, 178, 124, 0, -522, 136, -774, -340, 0, 0, -588, 248, -678, 0, 112, -84, -16, -4, 0, -326, 240, -324, -472, 0, 60, -560, -104, -420, 0, -4, -156, -240, -170, 0, -42, 40, -378, -72, 0, 0, -1000, 96, 0, 0, -36, 0, -746, 92, 0, -304, -144, 114, 2, 0, -882, 524, 140, 0, 0, 112, 348, -520, -218, 0, -20, -68, -912, 346, 0, -114, 152, 42, 0, 0, 264, -600, -186, 140, 0, -376, -184, 270, 34, 0, 342, -340, 536, -330, 0, -112, -312, 270, 20, 0, -592, 100, 0, 86, 0, -588, -516, 10, 0, 0, 368, 0, -452, -204, 0, 350, 64, 594, 292, 0, 798, 256, -204, 306, 0, 70, 0, -230, -396, 0, -402, -64, 642, -32, 0, -126, 140, 92, 210, 0, 28, 0, 904, -76, 0, 356, 4, 210, -150, 0, 930, -24, 404, -204, 0, -156, -1080, 664, -4, 0, -370, -152, -96, 516, 0, 0, -1192, 188, 108, 0, 90, 0, 1170, 12, 0, -38, 280, 0, -326, 0, -42, 68, -76, -198, 0, -230, 1008, -356, 48, 0, 228, -136, -366, 224, 0, -276, -564, -70, 150, 0, 42, 624, 56, 130, 0, 244, -480, 774, -62, 0, 456, -168, -44, -438, 0, 116, 240, 330, 12, 0, 184, 160, 360, 148, 0, -18, 776, -60, 0, 0, -180, 132, 354, 2, 0, 536, -264, 0, 426, 0, 0, 792, 14, 282, 0, 50, 84, -292, -168, 0, -440, -28, 0, -308, 0, -738, 1028, 210, 180, 0, 342, 576, 88, 80, 0, 414, -12, 0, -822, 0, 1146, 32, 64, -510, 0, -124, -552, -132, -74, 0, 750, -440, 1338, -218, 0, 408, -664, -340, 1002, 0, 106, 0, 980, -208, 0, 194, -92, 0, -710, 0, 0, 872, 32, 0, 0, -54, -588, -264, 150, 0, -288, 64, -942, 494, 0, 0, 588, -184, 1128, 0, -424, -792, 512, 178, 0, -374, -72, -498, -832, 0, 0, -744, -164, -330, 0, 56, -312, 474, -174, 0, -40, -264, -798, -86, 0, 402, -928, -40, -168, 0, -248, 660, -590, 148, 0, -104, -208, -96, 110, 0, 0, -840, -138, 0, 0, -20, 0, -422, -300, 0, -344, 156, -210, 46, 0, -438, 1296, 8, 0, 0, -396, 204, -1186, -138, 0, 216, 328, -552, 464, 0, -270, -212, -128, 0, 0, -712, -1200, -362, -138, 0, 356, 88, 588, 432, 0, 126, -432, -424, -132, 0, 72], "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, 5, 3, -1, 4, 0], [1, 1, 63, 14, -1, 6, 0], [1, 1, 315, 50, 1, 12, 0]], "char_orbit_index": 50, "prim_orbit_index": 50, "minimal_twist": "315.2.bv.a", "char_is_minimal": true, "conrey_index": 2, "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}