# Stored data for newform 670.2.k.c, downloaded from the LMFDB on 21 May 2024.
{"Nk2": 2680, "analytic_conductor": 5.349976935425786, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 67, "char_degree": 10, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 11, "char_parity": 1, "char_values": [670, 11, [537, 471], [11, 4]], "cm_discs": [], "conrey_index": 81, "dim": 50, "has_non_self_twist": 1, "hecke_cutters": [[3, [64009, 3105828, 151164332, 1687304465, 8464534067, 23525999970, 42014735202, 49513171422, 56422657291, 111869697291, 302089329444, 623886827238, 927918378652, 973871826240, 734188632412, 338283557371, 24611394471, -122078481009, -91939822143, -6450032283, 81094905420, 116558487791, 120863454073, 94901952381, 68277029346, 42452898691, 24960815985, 12850512366, 6319742382, 2823148462, 1132285469, 435411245, 154702389, 49871488, 18998036, 5246231, 3016264, 1010439, 365443, 160002, 57698, 18588, 6839, 1978, 1204, 346, 96, 26, 10, 2, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007886483063454, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 67, 5, 1, 11, 0]], "is_cm": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "670.2.k.c", "level": 670, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [2, 5, 67], "level_radical": 670, "minimal_twist": "670.2.k.c", "prim_orbit_index": 5, "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c11", "self_twist_discs": [], "self_twist_type": 0, "space_label": "670.2.k", "trace_display": [5, -2, -5, -1], "traces": [50, 5, -2, -5, -5, 2, -1, 5, -1, 5, -12, -2, 24, 23, -2, -5, 31, 1, 4, -5, 12, 1, 27, -9, -5, -2, -14, 10, -36, 2, -13, 5, -42, 2, 21, -1, -50, -26, -31, 5, -10, 21, 16, -1, -1, 17, -13, -2, -40, 5, -19, -20, -5, 47, 10, 12, -90, -8, -20, -2, 12, 13, -15, -5, -20, 20, -21, -24, 77, -21, 24, 12, -68, -16, -2, 4, 7, 53, -26, -5, -21, 21, -10, 12, 31, -27, 61, 12, 51, 1, -10, -6, -38, -9, 15, 2, 72, -37, -32, -5, -25, 19, 10, -2, -10, 5, -72, 52, 26, 12, 60, 21, 38, 90, -6, -3, 72, -57, -49, -9, 51, 10, 35, -24, -5, 48, -17, 5, 96, -2, 14, -42, -58, 21, -14, 2, -45, 66, 11, -12, 59, -46, -57, -1, 19, -64, 68, 16, -53, 2, 17, 7, -169, -7, -13, 24, 39, -29, -60, 5, 47, 76, 48, 34, 2, 76, -44, -34, 63, 13, -10, 38, -15, -94, -23, 10, 44, -51, -23, -12, 52, 10, 17, 6, -17, -116, -16, 53, 59, 7, -205, -2, 76, -39, -53, -18, -17, 32, -126, -50, 6, -74, 43, -19, -10, -120, 14, -20, -43, -34, -75, 28, -197, -104, 16, 14, 81, -15, 59, -1, 52, 17, -33, -21, -1, -60, -96, 64, 104, -16, 250, -8, -100, 49, 9, 35, -89, -72, 98, -2, 62, 26, 32, -10, 59, -13, 7, 24, 7, 5, -71, -70, -107, -71, -63, -5, 89, -63, 8, 24, 42, -14, 141, -24, -5, -118, 50, 45, -144, 14, -130, 31, 104, 122, -1, -22, -171, -22, -4, -10, 100, 95, 113, -31, 20, -152, -83, 1, -58, 14, 49, -2, -28, 31, 57, 50, -66, 64, -52, -2, -87, -149, 336, 15, 12, 48, 164, -37, 58, 13, -21, -24, 222, 137, 84, -81, 64, 5, 31, -5, -133, 217, -6, 78, -20, 106, -29, 21, -59, -2, 87, -76, -232, -44, 23, -10, 171, -63, 255, -2, 93, -144, 150, -27, 0, 59, 147, -71, 23, 1, 115, 12, -8, -22, -20, -37, 64, 23, 46, 1, -123, 25, 245, -10, 20, -17, 16, -6, -31, -60, -74, 116, 82, -50, -2, 46, -53, 73, -109, -18, -84, 205, -57, -9, -4, -21, -107, 6, 122, 31, 120, -59, 21, 61, -81, -54, 12, -83, -21, -5, 358, 49, -202, -25, 23, 144, 4, 19, -63, -12, -172, 10, -171, -25, 12, -2, -48, -1, 7, 12, 37, 75, -57, 5, -2, -210, -64, 16, -212, 39, -14, -14, -168, 150, -5, -95, 13, -4, 58, -32, 125, -63, 89, 60, -26, 33, -59, -12, 160, 1, -102, -39, -277, 30, -10, 35, 93, -16, -301, -6, 36, 47, -155, 19, -38, 100, -353, -60, 45, 24, 72, -35, 208, -54, -7, -49, -71, -76, -212, 2, -215, -51, -59, 106, -27, 1, -291, -23, 57, 18, 185, 13, -85, 48, -32, -13, 293, -106, 54, -5, -101, 93, -72, -84, 63, 140, -152, -6, 58, -14, -10, 5, -46, -56, 120, 63, 39, 69, -149, -13, -137, -152, 110, 25, 12, -64, 168, 2, -60, -28, 64, -3, 125, -72, 104, 87, -294, 12, 167, 52, 59, -2, -46, 13, -95, -38, 206, 32, 371, 12, -152, 55, -84, -71, -116, 22, -142, 59, 160, -23, -195, -56, 94, 26, 60, 294, -106, 20, -151, -20, 152, -57, -108, -104, -6, -12, -23, -129, 50, -14, 48, -71, 419, 2, 72, -60, -104, -9, -42, 20, -42, -17, -292, 22, 83, -53, 152, 96, -274, 2, 59, -34, 27, -38, 106, -336, 293, 7, -8, -23, 71, -169, -195, 45, -9, -7, -122, 239, -363, -2, -7, 87, 79, -53, -5, -222, -16, 61, -196, 70, 246, -18, 500, -86, 5, -27, -102, 134, 13, -50, 102, 199, -34, 190, -113, 215, 33, -23, 176, 20, -195, 15, -113, -4, 36, -10, 286, -29, 304, 24, -72, 89, -221, 10, -47, 23, 372, -44, 472, 10, -34, -34, 15, 5, -14, 19, -69, 42, -345, 2, 153, -38, 352, 45, -12, 48, 67, 16, 276, 0, -62, 84, 255, -81, -44, 71, -465, 98, -618, 10, -105, 105, 89, -1, 59, 129, -286, 176, 142, 31, -59, 92, -37, -64, 42, 54, 320, -134, 18, -1, -48, -9, 19, 162, 8, -36, -461, 10, 20, 2, 97, -137, -57, -16, -9, -16, -149, 130, 252, 60, -54, 8, 94, -116, 101, 193, -73, 72, -116, 2, -263, 9, -5, 42, 17, 26, 47, -89, -55, 18, -366, -158, -224, -7, 161, -86, 162, -2, -35, 26, 123, -89, -65, -168, 42, 27, -118, -89, -356, 2, -82, -21, 110, 59, -115, -197, 179, -171, 119, -29, 165, 98, 192, -144, -27, 61, -239, 109, -131, 5, 509, 148, -94, 105, -96, -7, -311, 80, -105, -78, 44, 10, -438, -158, 26, -63, 238, 217, 67, -43, -330, -169, -87, -10, 2, -93, 117, -85, -31, -56, -16, 24, -114, 202, -77, -43, -175, -282, 66, 21, 54, 106, 96, -108, -113, -9, 38, -5, 370, 2, 57, -65, 62, -156, -65, 72, -109, 212, -60, -17, -265, 3, 259, 14, -59, 212, 364, -150, -1, 16, -56, -26, 2, -13, -23, 37, 242, -190, 44, -1, -112, 271, -58, -102, 44, 153, 29, -27, 7, -73, 0, 110, -103, 59, -23, -10, -9, 49, -88, 32, -52, -74, -182, 72, -36, -185, -148, 58, -266, -12, -16, 20, -420, -82, 50, -116, -160, 301, -152, 6, -157, -47, -146, 52, -50, -153, 582, 14, 89, 49, -112, 142, 79, 89, -137, 49, -328, -166, -432, 9, 1, 49, 4, 57, 26, 56, -150, -111, 184, -15, -127, -94, 93, -116, 37, -166, -95, 212, 177, -2, 330, -115, 225, -4, 21, 235, -30, 26, -343, 27, -400, -133, 100, 291, 68, 12, 240, -310, -66, 37, 34, -185, 228, -35, 148, -80, 43, -48, 321, -111, -258, 13, 60, -40, -38, 7, -161, -32, 346, 5], "weight": 2, "weight_parity": 1, "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}