# Stored data for newform 3025.2.a.q, downloaded from the LMFDB on 24 December 2025. {"Nk2": 12100, "analytic_conductor": 24.154746611437314, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[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": [3025, 1, [727, 2301], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 473, "field_disc_factorization": [[11, 1], [43, 1]], "field_poly": [-1, -5, 0, 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": [[2, [-1, -5, 0, 1]], [3, [-3, -2, 3, 1]], [19, [9, 6, -7, 1]]], "hecke_orbit": 17, "hecke_orbit_code": 72057594071485393, "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": true, "label": "3025.2.a.q", "level": 3025, "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": [5, 11], "level_radical": 55, "minimal_twist": "3025.2.a.q", "nf_label": "3.3.473.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(-1-\\beta _{1})q^{3}+(1+\\beta _{2})q^{4}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3025.2.a", "trace_display": [0, -3, 0, 4], "trace_hash": 1325545763184249033, "trace_moments": [{"__RealLiteral__": 0, 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