# Stored data for newform 273.2.br.b, downloaded from the LMFDB on 19 April 2024.
{"label": "273.2.br.b", "space_label": "273.2.br", "level": 273, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4506554598424849, "dim": 64, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [85, 0, -16257, 0, 296869, 0, -2140397, 0, 7791329, 0, -16585032, 0, 22618426, 0, -20933043, 0, 13630402, 0, -6379285, 0, 2167391, 0, -534323, 0, 94449, 0, -11647, 0, 950, 0, -46, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 273, "char_orbit_label": "br", "char_is_real": false, "Nk2": 1092, "analytic_conductor": 2.1799159751809545, "level_radical": 273, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [273, 6, [92, 157, 106], [3, 1, 1]], "inner_twist_count": 4, "level_primes": [3, 7, 13], "conrey_indexes": [17, 257], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 32, "sato_tate_group": "1.2.3.c6", "trace_display": [0, -6, 0, -6], "traces": [64, 0, -6, 56, 0, 0, -6, 0, 0, -6, 0, -6, -12, 0, -9, 16, 0, -36, 0, 0, -12, -18, 0, -12, 16, 0, 0, 18, 0, -22, 36, 0, -15, -24, 0, -4, 0, 0, -9, -54, 0, 39, -12, 0, -6, 0, 0, -54, 2, 0, -14, -48, 0, 18, 42, 0, 0, 30, 0, -9, 6, 0, 3, -28, 0, -9, 48, 0, -39, -84, 0, -123, -12, 0, 0, 18, 0, -11, 4, 0, 0, -66, 0, 27, -30, 0, 0, -30, 0, 0, 130, 0, 0, 84, 0, -24, -12, 0, 0, -94, 0, 60, 72, 0, -48, -12, 0, 0, 180, 0, 18, -18, 0, 82, 12, 0, 75, 0, 0, -14, 38, 0, 0, 54, 0, 93, -32, 0, -75, -36, 0, 63, -66, 0, 120, -156, 0, 30, -6, 0, -102, 44, 0, -54, -144, 0, 13, 0, 0, 240, -60, 0, -87, -30, 0, -52, 54, 0, 0, -78, 0, 81, 168, 0, 0, 0, 0, 182, 52, 0, 48, 14, 0, 54, 36, 0, -60, 0, 0, 138, 0, 0, -44, 0, 0, 168, 24, 0, 45, 0, 0, -33, -42, 0, 81, 12, 0, 136, 0, 0, 30, -126, 0, 44, -20, 0, 45, -282, 0, -141, 10, 0, -114, 0, 0, 90, -174, 0, 0, 6, 0, 147, 0, 0, -51, -258, 0, 0, -72, 0, 50, 72, 0, 30, 4, 0, 57, 36, 0, -156, -156, 0, -156, 90, 0, -22, 124, 0, -90, 0, 0, 171, 0, 0, 6, -136, 0, -45, -224, 0, 34, -24, 0, 105, -144, 0, 102, 60, 0, 28, -48, 0, -206, 80, 0, -270, -36, 0, -30, -108, 0, 156, -6, 0, -261, 156, 0, -9, -164, 0, -270, -6, 0, -126, -10, 0, -99, -66, 0, 0, 102, 0, -35, 246, 0, -150, -108, 0, 25, 0, 0, 29, 24, 0, 83, 52, 0, 144, 0, 0, -132, 158, 0, -136, -6, 0, 288, -54, 0, 0, 108, 0, -6, 390, 0, -123, 16, 0, -87, 42, 0, -87, -36, 0, -342, -12, 0, 0, 102, 0, 25, -78, 0, -103, -192, 0, -129, -108, 0, 0, -56, 0, 0, 268, 0, 0, 204, 0, -99, 126, 0, 0, -96, 0, 96, 252, 0, -199, 102, 0, 0, 258, 0, 99, 288, 0, 60, 390, 0, 393, 0, 0, -73, 98, 0, 0, 162, 0, 315, 48, 0, -24, -162, 0, 0, -152, 0, 291, -348, 0, 144, 330, 0, -96, 102, 0, -118, -36, 0, -214, 0, 0, 366, 54, 0, -57, -90, 0, 10, 114, 0, 0, 66, 0, -45, 510, 0, 28, 0, 0, 346, -52, 0, 42, 162, 0, 156, -168, 0, -285, 0, 0, 18, 0, 0, -106, 0, 0, 108, 150, 0, -75, 0, 0, -39, -150, 0, -123, 232, 0, 208, 0, 0, -45, 102, 0, -2, -236, 0, 67, -132, 0, -6, 162, 0, -327, 0, 0, 222, -424, 0, 0, 30, 0, 129, -126, 0, -31, -246, 0, 0, -126, 0, -50, 156, 0, 186, 90, 0, -33, 136, 0, -78, -468, 0, -639, 306, 0, 106, -24, 0, -189, 0, 0, 102, -42, 0, 156, -52, 0, 12, -382, 0, 38, 36, 0, 96, 156, 0, 150, 372, 0, 2, -384, 0, -305, -16, 0, -405, -464, 0, -51, 30, 0, 192, 120, 0, -339, -306, 0, -96, -272, 0, -426, 42, 0, -15, -78, 0, -291, -154, 0, 0, 156, 0, -192, 186, 0, -222, -228, 0, -136, 0, 0, 44, -372, 0, 190, 100, 0, 402, 0, 0, -285, -330, 0, -22, 60, 0, 96, -372, 0, 0, 294, 0, -18, 486, 0, -66, 248, 0, -120, 42, 0, 81, -330, 0, -642, -132, 0, 0, 24, 0, -192, -44, 0, -44, -12, 0, -30, -306, 0, 0, 22, 0, 0, 334, 0, 0, 78, 0, -102, -12, 0, 0, -362, 0, 300, 336, 0, -159, -390, 0, 0, 300, 0, 42, 192, 0, 370, 192, 0, 432, 0, 0, -37, 196, 0, 0, 336, 0, 619, -112, 0, 9, 0, 0, 165, -290, 0, 414, -72, 0, 360, 402, 0, -174, 178, 0, -38, -456, 0, -204, 0, 0, 744, -54, 0, -222, 480, 0, -148, -144, 0, 0, 258, 0, 246, 480, 0, 200, 0, 0, 338, -116, 0, 75, 294, 0, -168, 390, 0, -216, 0, 0, 210, 0, 0, 102, 0, 0, 296, 240, 0, 141, 0, 0, 45, -210, 0, 120, 494, 0, 648, 0, 0, 102, -312, 0, 273, -272, 0, 109, -816, 0, -291, 216, 0, -246, 0, 0, 84, -486, 0, 0, -126, 0, 195, -144, 0, 6, -900, 0, 0, -294, 0, 202, -114, 0, -45, 138, 0, 90, 2, 0, -267, -720, 0, -372, -120, 0, 28, -214, 0, 54, 0, 0, 615, -102, 0, 168, 188, 0, 42, -452, 0, 150, -174, 0, 351, -384, 0, 411, 480, 0, -75, -252, 0, -408, 84, 0, -489, -20, 0, 87, 216, 0, 484, 222, 0, -453, 66, 0, 384, -532, 0, -456, 78, 0, -390, -66, 0, -192, -324, 0, 0, 120, 0, -108, 342, 0, -534, -432, 0, 97, 0, 0, 178, -174, 0, 61, -60, 0, 318, 0, 0, -327, 84, 0, -220, -126, 0, 162, 582, 0, 0, 84, 0, -87, 756, 0, -243, -288, 0, -15, 426, 0, 327, -162, 0, -714, 6, 0, 0, -186, 0, -26, -114, 0, -90, -60, 0, -216, -372, 0, 0, -24, 0, 0, 440, 0, 0, 540, 0, -231, 114, 0, 0, -268, 0, 357, 708, 0, -236, 504, 0, 0, 330, 0, 372, 66, 0, 100, 222, 0, 666, 0, 0, -88, 246, 0, 0, 408, 0, 637, 252, 0, 186, -140, 0, -33, -408, 0, 774, -528, 0, 99, 312, 0, -300, 216, 0, 47, 108, 0, -149, 0, 0, 432, -216, 0, -297, -120, 0, -76, -42, 0, 0, -354, 0, -54, 918, 0, -168, 0, 0, 303, 546, 0, -147, 22, 0, 216, 138, 0, -609, 0, 0, 330, 0], "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, 91, 12, -1, 6, 0], [1, 1, 273, 44, 1, 6, 0]], "char_orbit_index": 44, "prim_orbit_index": 44, "minimal_twist": "273.2.y.b", "char_is_minimal": true, "conrey_index": 17, "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}