# Stored data for newform 29640.2.a.br, downloaded from the LMFDB on 22 September 2025.
{"Nk2": 118560, "analytic_conductor": 236.67659159107507, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [13, -1], [19, 1]], "atkin_lehner_string": "--+-+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [29640, 1, [22231, 14821, 9881, 11857, 18241, 15601], [44, 44, 44, 44, 44, 44]], "cm_discs": [], "conrey_index": 1, "dim": 12, "field_poly": [-4544, -13782, -6980, 12614, 10966, -2936, -4223, 21, 635, 38, -41, -2, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_orbit": 44, "hecke_orbit_code": 193654784010515400, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "29640.2.a.br", "level": 29640, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5, 13, 19], "level_radical": 7410, "minimal_twist": "29640.2.a.br", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "29640.2.a", "trace_display": [0, 12, -12, 0], "traces": [12, 0, 12, 0, -12, 0, 0, 0, 12, 0, -2, 0, 12, 0, -12, 0, 10, 0, -12, 0, 0, 0, -9, 0, 12, 0, 12, 0, 7, 0, 18, 0, -2, 0, 0, 0, 16, 0, 12, 0, 11, 0, 18, 0, -12, 0, -15, 0, 30, 0, 10, 0, 5, 0, 2, 0, -12, 0, 12, 0, 2, 0, 0, 0, -12, 0, 38, 0, -9, 0, 0, 0, -26, 0, 12, 0, -8, 0, 17, 0, 12, 0, 12, 0, -10, 0, 7, 0, -16, 0, 0, 0, 18, 0, 12, 0, -3, 0, -2, 0], "weight": 2, "weight_parity": 1, "id": null, "analytic_rank": null, "analytic_rank_proved": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "hecke_cutters": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "level_is_powerful": null, "level_is_prime_square": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}