# Stored data for newform 3249.2.a.w, downloaded from the LMFDB on 11 November 2025. {"Nk2": 12996, "analytic_conductor": 25.943395616713996, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -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": [3249, 1, [362, 2890], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 18, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [1, -3, 0, 1]], [5, [3, 0, -3, 1]], [13, [19, -9, -3, 1]]], "hecke_orbit": 23, "hecke_orbit_code": 99079191835708593, "hecke_ring_generator_nbound": 2, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "3249.2.a.w", "level": 3249, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 19], "level_radical": 57, "minimal_twist": "57.2.i.a", "nf_label": "3.3.81.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+\\beta _{2}q^{4}+(1-\\beta _{1})q^{5}+(-1+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3249.2.a", "trace_display": [0, 0, 3, -3], "trace_hash": 806691350960054080, "trace_moments": [{"__RealLiteral__": 0, "data": "0.069", "prec": 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