# Stored data for newform 504.2.w.a, downloaded from the LMFDB on 25 April 2024. {"label": "504.2.w.a", "space_label": "504.2.w", "level": 504, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1511862043128, "dim": 184, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 504, "char_orbit_label": "w", "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, 3, 4, 2]], "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [205, 445], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 92, "sato_tate_group": "1.2.3.c6", "trace_display": [1, 0, 0, -2], "traces": [184, 1, 0, 1, 0, -2, -2, -8, -2, 2, 0, -17, 0, -7, -2, 1, -4, 13, 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0, 372, 0, -894, -514, -51, -96, -190, 0, -384, 0, 144, -366, -631, 54, -293, 0, -136, 0, -235, 92, 270, 62, 310, 0, -103, 0, 306, 46, -180, 82, 184, 0, -504, 0, 50, 164, 237, -32, -105, 0, -75, 0, -88, -4, 482, 254, 0, 0, 18, 0, -239, -280, 16], "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, 8, 2, 1, 2, 0], [1, 1, 63, 7, 1, 3, 0], [1, 1, 504, 23, 1, 6, 0]], "char_orbit_index": 23, "prim_orbit_index": 23, "minimal_twist": "504.2.w.a", "char_is_minimal": true, "conrey_index": 205, "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}