# Stored data for newform 77.2.n.a, downloaded from the LMFDB on 18 April 2024. {"label": "77.2.n.a", "space_label": "77.2.n", "level": 77, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 893386752077, "dim": 48, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 30, "char_parity": 1, "char_degree": 8, "char_conductor": 77, "char_orbit_label": "n", "char_is_real": false, "Nk2": 308, "analytic_conductor": 0.614848095563859, "level_radical": 77, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [77, 30, [45, 57], [5, 27]], "inner_twist_count": 4, "level_primes": [7, 11], "conrey_indexes": [17, 19, 24, 40, 52, 61, 68, 73], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c30", "trace_display": [-5, -9, -15, -5], "traces": [48, -5, -9, -9, -15, 0, -5, 0, -11, 0, -1, -12, 0, -8, 0, -27, 15, 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"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}