# Stored data for newform 4950.2.a.bw, downloaded from the LMFDB on 16 June 2025. {"Nk2": 19800, "analytic_conductor": 39.52594900053379, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [11, -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": [4950, 1, [551, 2377, 4501], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 33, "field_disc_factorization": [[3, 1], [11, 1]], "field_poly": [-8, -1, 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_cutters": [[7, [-8, 1, 1]], [13, [2, 1]], [17, [-6, 3, 1]], [19, [4, -7, 1]], [23, [-24, 6, 1]]], "hecke_orbit": 49, "hecke_orbit_code": 216172782147343190, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "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": false, "label": "4950.2.a.bw", "level": 4950, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5, 11], "level_radical": 330, "minimal_twist": "110.2.a.d", "nf_label": "2.2.33.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}-\\beta q^{7}-q^{8}+q^{11}-2q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4950.2.a", "trace_display": [-2, 0, 0, -1], "trace_hash": 1654326698028579049, "trace_moments": 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