# Stored data for newform 630.2.bk.c, downloaded from the LMFDB on 18 April 2024. {"label": "630.2.bk.c", "space_label": "630.2.bk", "level": 630, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9009673189458550, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [7925984784, 6022210032, -79306667352, -61416558072, 711174412296, -761752025028, -824343591318, 1537893376626, 748497750037, -1930301876892, -284619463494, 1335489670152, 190053472554, -559094576838, -71866305412, 157809350682, 25728571968, -28031285250, -4436357925, 3510623412, 549963012, -311083236, -43647258, 19669806, 2714322, -871158, -116464, 27120, 3837, -522, -75, 6, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "bk", "char_is_real": false, "Nk2": 2520, "analytic_conductor": 5.030575327340665, "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": [630, 6, [281, 127, 451], [1, 6, 1]], "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [101, 131], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 16, "sato_tate_group": "1.2.3.c6", "trace_display": [0, -2, 16, -2], "traces": [32, 0, -2, -32, 16, -2, -2, 0, 0, 0, -6, 2, 0, 6, 2, 32, -6, 8, 0, -16, 0, 0, 18, 2, -16, -12, -8, 2, 6, -4, 0, 0, 20, 0, 2, 0, 2, 0, 30, 0, 6, 10, -28, 6, 6, 0, 48, -2, 8, 0, 34, 0, 36, -46, 0, -6, 18, 0, -60, -2, 0, 0, 32, -32, 0, -34, -8, 6, -28, 6, 0, -8, -30, -18, 4, 0, -6, -22, -8, 16, 20, -24, -6, 0, 6, 30, -22, 0, 12, 4, -66, -18, -32, 0, 0, -2, -96, 24, -24, 16, 42, 20, -12, 12, 0, 0, 24, 8, 2, 0, -2, -2, -54, 86, 18, -6, -14, 0, -24, 4, 10, 0, -112, 0, -32, -14, 112, 0, -40, -24, -30, -20, 90, 0, -22, 0, 0, 64, 42, -2, -54, 0, 96, 0, 6, 18, 46, -2, 24, -2, 62, 0, 38, -60, 18, -30, 0, 0, 52, 0, -30, 48, -2, -6, 4, 30, -18, -10, -64, 0, -8, 28, -156, -2, 4, -6, 74, -72, 102, -6, 0, -18, 36, 0, 4, 24, 0, -48, 4, 0, 0, 2, -112, -36, 18, -8, 0, -26, -18, 0, -24, 18, 36, -34, 12, -42, 16, 0, 30, -4, -88, -36, 72, 48, 28, 46, -90, 90, -14, 0, 0, 14, -66, 6, 6, -30, -12, -18, 48, 0, -18, 0, -96, -52, 24, 60, -74, 96, -30, 2, 24, 12, -112, 0, 40, 60, -12, 0, -34, 0, 0, -32, 156, 0, 8, 32, 42, -48, 40, 0, -104, 48, -60, 34, 36, 18, -36, 8, 60, -14, -24, -6, -106, 12, 6, 28, 10, 18, 106, -6, 24, -98, 0, 0, 36, -42, -78, 8, -70, 0, 124, 30, -18, -16, -30, 18, 86, 72, 84, -4, 16, 78, 138, 0, -54, -36, 0, 6, 180, 0, -72, 22, 0, -60, 34, 8, 0, 48, -24, -16, -86, -60, 0, -20, 0, 6, -50, 24, -24, -44, 140, 6, -76, -18, -4, 0, -106, -72, 134, -6, -54, 110, -80, -30, -62, 0, 0, 22, -108, 0, -100, 0, 24, -104, 18, -12, 82, -18, -90, -4, 8, 96, 24, 66, -30, 52, 78, 18, -4, 0, -54, 32, -38, 60, 2, 0, 36, 72, 176, 0, -172, -132, 48, 2, 0, 0, -94, 96, 42, 16, 192, -24, -70, 84, -4, 24, 0, 24, -154, -16, -120, 48, -18, -42, -26, -24, -12, -20, 0, 0, -72, 12, -18, 66, 6, -12, 194, 48, -12, 0, -44, 102, 8, 0, 12, -44, 24, -24, -6, 30, 96, -8, 0, -102, -8, -2, 108, 82, 0, 0, -22, 12, 0, 2, 24, -18, -20, 2, 0, -4, -96, 54, -10, 66, -18, -86, 92, 12, -4, -18, -66, 26, -50, 6, -64, 60, 36, 14, -88, -42, 74, 0, 0, -112, 0, 24, -92, -66, 54, -4, -90, -24, 122, -10, -96, -82, -34, 0, -34, 24, 174, 112, 192, -12, -42, 0, 42, 48, -64, 32, -18, 0, 72, 14, 84, 0, -4, -112, 6, -14, 192, 0, -58, 48, -12, 40, 270, -42, 2, 24, -18, -78, 66, 30, 0, -18, -96, 20, 22, 0, 262, -90, 6, -10, 0, 0, -136, -78, -72, 22, -56, -90, 76, 0, -2, 34, -200, 0, -52, 0, 24, -64, 128, 0, 62, -42, -6, -122, 0, 2, 224, -60, -120, 54, 0, -168, 76, 0, 0, 10, -56, -96, -210, -126, 0, 0, -324, -24, 36, -6, -48, -194, -12, -18, -64, -12, -54, -46, -84, 0, -12, 2, 36, 64, -72, -24, 166, 0, 0, 2, -84, 60, -162, -62, -10, -80, -72, 0, 188, 0, 102, -38, -44, 48, -20, 60, -168, 188, -30, -18, 178, 0, 216, 30, -16, 120, -132, 0, -12, -22, 244, 0, 34, -216, 56, -52, 138, 0, -166, 0, 36, 56, 132, 30, -8, 180, -108, -48, 246, -12, -202, 2, 360, 80, 30, 6, 252, -168, -48, -4, 0, 0, 188, -30, -6, 96, -48, 18, 28, -36, -12, 10, -190, 30, -14, 64, -156, 14, -96, 0, -88, -156, -174, 8, 0, -108, 22, -28, -72, 56, 0, 156, 358, 12, 0, 2, 204, 24, -304, -4, 0, -48, -48, 6, -36, 90, -258, -74, 248, 0, -52, 72, 24, -84, -96, -102, 18, 90, -96, 6, -30, -216, -152, 0, 0, -186, -216, 18, -198, -18, -102, -36, -246, -6, 32, 0, 216, -184, 46, -4, -236, 204, -12, -24, 24, -24, 236, 0, 0, 2, -4, 48, 234, 0, 124, -4, 140, 0, -158, 0, -30, -40, -20, 0, 4, 204, 282, -2, 210, 12, 44, 112, -12, 8, 18, 36, -260, 30, 6, -18, -120, -102, 118, 8, 102, 68, 0, 0, 58, -30, 108, 26, -114, 12, 110, 18, 54, -2, -54, 0, -68, 72, -12, 24, -18, 12, 32, -18, 144, 0, 0, -36, 332, -126, -4, 34, 0, 0, 226, -12, 0, -40, -32, 42, -16, -120, 0, -16, -162, 30, 18, 0, 36, -96, -36, -30, -264, 0, 54, 4, -50, -84, -268, 88, 64, 118, -106, 36, 156, 0, 0, -72, -264, 84, -40, -48, -132, -140, -102, -28, 250, 84, -228, -46, -78, 132, -174, 90, 54, 56, 240, -90, -150, 0, 2, 14, -86, -24, 58, 0, -96, -132, 440, 0, 52, -276, 78, -14, 62, 0, -134, 66, -216, 176, 102, -6, -152, 264, 102, -6, 102, -90, -242, 30, 54, 202, -112, 12, 332, 24, -90, 18, 0, 0, 42, -48, 234, 164, 74, 0, 120, 24, -96, 18, 2, 186, 106, 0, -132, -6, 60, 96, 120, -204, 12, 52, 0, 114, 218, -24, 492, 204, 0, -60, 80, -252, 0, 74, 24, 0, -72, -96, 0, -38, 0, 30, -98, -6, 228, -2, 92, -84, -118, -24, -56, 18, -170, -12, 26, 36, -114, 112, -30, 168, -12, 0, 0, -104, -276, -40, -82, -84, 258, -60, -54, 66, 94, 12, 18, -10, -34, 0, 16, 222, -18, 34, 144, 126, 44, 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": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 9, 1, 6, 0]], "char_orbit_index": 37, "prim_orbit_index": 9, "minimal_twist": "630.2.t.c", "char_is_minimal": true, "conrey_index": 101, "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}