# Stored data for newform 504.2.cx.a, downloaded from the LMFDB on 25 April 2024.
{"label": "504.2.cx.a", "space_label": "504.2.cx", "level": 504, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 5153994310136, "dim": 48, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "cx", "char_is_real": false, "Nk2": 2016, "analytic_conductor": 4.024460261872531, "level_radical": 42, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [504, 6, [127, 253, 281, 73], [6, 6, 5, 1]], "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [185, 425], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 24, "sato_tate_group": "1.2.3.c6", "trace_display": [0, 0, 0, 0], "traces": [48, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -10, 0, 0, 0, 48, 0, 18, 0, 18, 0, 18, 0, 12, 0, 0, 0, 0, 0, -4, 0, -6, 0, -6, 0, -18, 0, 18, 0, -12, 0, 6, 0, -12, 0, 0, 0, 4, 0, 0, 0, 18, 0, -32, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 6, 0, 6, 0, 0, 0, 0, 0, -54, 0, -18, 0, 6, 0, 4, 0, -54, 0, 0, 0, -64, 0, 0, 0, 0, 0, -12, 0, -48, 0, 0, 0, -36, 0, -78, 0, 0, 0, -42, 0, -36, 0, -48, 0, 4, 0, 72, 0, 12, 0, 18, 0, -60, 0, -6, 0, -14, 0, 0, 0, 0, 0, -74, 0, 0, 0, 18, 0, 106, 0, 0, 0, 24, 0, -90, 0, -48, 0, 36, 0, -54, 0, -48, 0, 0, 0, -48, 0, 90, 0, 12, 0, 48, 0, -72, 0, -6, 0, 6, 0, -36, 0, 0, 0, -42, 0, 24, 0, 0, 0, 74, 0, 36, 0, -12, 0, 18, 0, 0, 0, 0, 0, -60, 0, 60, 0, 30, 0, 22, 0, -42, 0, 0, 0, 60, 0, 60, 0, -6, 0, 8, 0, 24, 0, -18, 0, 86, 0, 108, 0, 0, 0, 76, 0, 0, 0, -18, 0, 132, 0, 144, 0, 0, 0, 60, 0, 96, 0, -108, 0, 56, 0, -36, 0, 0, 0, 66, 0, 144, 0, -60, 0, -40, 0, 0, 0, 0, 0, 162, 0, 36, 0, 0, 0, -78, 0, 0, 0, -12, 0, 42, 0, 156, 0, -18, 0, 114, 0, 150, 0, -36, 0, 102, 0, -84, 0, 12, 0, -36, 0, 60, 0, 18, 0, 30, 0, -36, 0, 0, 0, 48, 0, 0, 0, -36, 0, -136, 0, -30, 0, -36, 0, -54, 0, 0, 0, 0, 0, 168, 0, 90, 0, 36, 0, 8, 0, 180, 0, 18, 0, 54, 0, -54, 0, -114, 0, 80, 0, 42, 0, -54, 0, -74, 0, -120, 0, 0, 0, -34, 0, -60, 0, 12, 0, -258, 0, -216, 0, 0, 0, 24, 0, -144, 0, -48, 0, -72, 0, 276, 0, 48, 0, 96, 0, -168, 0, -60, 0, 100, 0, 0, 0, 0, 0, -256, 0, -126, 0, -54, 0, -14, 0, 0, 0, -60, 0, -216, 0, -240, 0, -144, 0, -174, 0, -114, 0, -54, 0, -20, 0, 60, 0, 36, 0, 84, 0, -54, 0, -6, 0, 66, 0, 204, 0, 0, 0, -90, 0, 54, 0, 0, 0, 186, 0, -72, 0, 6, 0, 42, 0, 0, 0, 0, 0, -174, 0, -126, 0, -6, 0, -146, 0, -138, 0, 18, 0, 84, 0, 78, 0, -114, 0, -6, 0, 60, 0, 0, 0, 100, 0, 0, 0, 0, 0, -84, 0, -84, 0, 54, 0, 198, 0, 120, 0, 0, 0, -84, 0, 138, 0, 108, 0, 70, 0, -336, 0, 36, 0, -186, 0, 216, 0, 18, 0, -56, 0, 0, 0, 0, 0, 232, 0, 48, 0, -54, 0, -162, 0, 0, 0, -108, 0, 300, 0, 234, 0, -162, 0, 228, 0, 222, 0, -18, 0, -38, 0, -108, 0, 42, 0, -72, 0, 72, 0, -30, 0, -70, 0, -90, 0, 0, 0, 94, 0, -162, 0, 0, 0, -128, 0, 48, 0, 36, 0, -120, 0, 0, 0, -54, 0, 138, 0, 198, 0, -30, 0, 60, 0, 54, 0, 12, 0, -186, 0, -156, 0, -12, 0, 106, 0, -246, 0, 18, 0, -234, 0, -180, 0, 0, 0, -2, 0, 18, 0, 36, 0, -288, 0, -306, 0, 0, 0, 30, 0, -102, 0, 216, 0, -28, 0, 396, 0, 144, 0, -60, 0, -324, 0, 90, 0, 134, 0, 0, 0, 126, 0, -392, 0, 0, 0, 0, 0, 324, 0, 0, 0, 60, 0, -192, 0, -216, 0, 108, 0, -246, 0, -312, 0, 12, 0, -38, 0, 276, 0, -24, 0, 120, 0, -42, 0, -54, 0, 46, 0, -210, 0, 0, 0, -126, 0, 96, 0, 126, 0, 242, 0, 180, 0, 36, 0, -60, 0, 0, 0, -36, 0, -258, 0, 108, 0, -42, 0, 78, 0, -180, 0, 12, 0, 114, 0, 96, 0, 72, 0, -16, 0, 144, 0, -54, 0, 236, 0, 252, 0, 0, 0, 200, 0, 84, 0, 30, 0, 282, 0, 276, 0, 0, 0, 138, 0, 264, 0, 132, 0, 68, 0, -168, 0, 24, 0, 156, 0, 96, 0, 120, 0, 32, 0, 0, 0, 72, 0, 334, 0, 108, 0, 252, 0, -178, 0, 0, 0, 120, 0, 72, 0, 372, 0, 162, 0, 306, 0, 306, 0, 66, 0, 348, 0, -120, 0, 36, 0, -288, 0, 216, 0, -18, 0, 24, 0, -150, 0, 0, 0, 132, 0, 0, 0, 108, 0, -340, 0, -66, 0, 0, 0, -72, 0, 0, 0, 36, 0, 324, 0, -84, 0, 48, 0, 38, 0, 282, 0, -12, 0, 66, 0, -246, 0, 114, 0, -14, 0, 0, 0, -72, 0, -338, 0, -144, 0, 0, 0, -52, 0, -132, 0, -6, 0, -390, 0, -366, 0, 0, 0, -168, 0, -492, 0, -120, 0, -158, 0, 324, 0, 48, 0, -120, 0, -120, 0, -54, 0, 110, 0, 0, 0, 18, 0, -412, 0, -216, 0, 216, 0, -2, 0, 0, 0, 120, 0, -306, 0, -480, 0, 126, 0, -360, 0, -312, 0, -18, 0, -202, 0, 78, 0, -6, 0, 240, 0, -228, 0, 90, 0, 44, 0, 384, 0, 0, 0, -254, 0, 66, 0, 0, 0, 328, 0, 12, 0, -42, 0, 162, 0, 0, 0, 72, 0, -222, 0, -174, 0, 108, 0, -238, 0, -252, 0, -6, 0, 168, 0, 228, 0, -24, 0, -104, 0, -6, 0, -144, 0, 378, 0, -108, 0, 0, 0, -38, 0, 258, 0, 0, 0, 450, 0, 390, 0, 0, 0, 42, 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, 19, 1, 6, 0]], "char_orbit_index": 76, "prim_orbit_index": 19, "minimal_twist": "504.2.bs.a", "char_is_minimal": true, "conrey_index": 185, "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}