# Stored data for newform 33282.2.a.dk, downloaded from the LMFDB on 07 April 2026.
{"Nk2": 133128, "analytic_conductor": 265.75810800722536, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [43, -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": [33282, 1, [29585, 7399], [89, 89]], "cm_discs": [], "conrey_index": 1, "dim": 12, "field_poly": [-251, 963, -20, -1834, 566, 1249, -463, -389, 146, 56, -20, -3, 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": -1, "hecke_orbit": 89, "hecke_orbit_code": 396316767242191362, "inner_twist_count": -1, "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "label": "33282.2.a.dk", "level": 33282, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 43], "level_radical": 258, "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": "33282.2.a", "trace_display": [-12, 0, 7, -5], "traces": [12, -12, 0, 12, 7, 0, -5, -12, 0, -7, 11, 0, -9, 5, 0, 12, 1, 0, -7, 7, 0, -11, -12, 0, 17, 9, 0, -5, 18, 0, -17, -12, 0, -1, -28, 0, -31, 7, 0, -7, -6, 0, 0, 11, 0, 12, -28, 0, -7, -17, 0, -9, 13, 0, 14, 5, 0, -18, -34, 0, 22, 17, 0, 12, 63, 0, -23, 1, 0, 28, 52, 0, 22, 31, 0, -7, 19, 0, -15, 7, 0, 6, -14, 0, -7, 0, 0, -11, 61, 0, 0, -12, 0, 28, -14, 0, -41, 7, 0, 17], "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, "inner_twists": null, "is_twist_minimal": null, "level_is_powerful": null, "level_is_prime_square": null, "minimal_twist": 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}