# Stored data for newform 1521.2.a.o, downloaded from the LMFDB on 01 February 2026. {"Nk2": 6084, "analytic_conductor": 12.145246147436746, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [13, -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": [1521, 1, [677, 847], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 49, "field_disc_factorization": [[7, 2]], "field_poly": [1, -2, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 14, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-1, -1, 2, 1]], [5, [-1, 3, 4, 1]], [7, [13, -4, -3, 1]]], "hecke_orbit": 15, "hecke_orbit_code": 63050394816742897, "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": "1521.2.a.o", "level": 1521, "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, 13], "level_radical": 39, "minimal_twist": "169.2.a.b", "nf_label": "3.3.49.1", "prim_orbit_index": 1, "qexp_display": "q+(-1-\\beta _{2})q^{2}+(\\beta _{1}+\\beta _{2})q^{4}+(-2+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1521.2.a", "trace_display": [-2, 0, -4, 3], "trace_hash": 112911520494067207, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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