# Stored data for newform 2175.2.a.w, downloaded from the LMFDB on 04 December 2024.
{"Nk2": 8700, "analytic_conductor": 17.367462439628483, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, -1], [29, -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": [2175, 1, [1451, 2002, 901], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 246832, "field_disc_factorization": [[2, 4], [15427, 1]], "field_poly": [-2, 7, 6, -5, -2, 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, [5, 1, -11, -3, 3, 1]], [7, [-2, -11, 6, 18, 8, 1]]], "hecke_orbit": 23, "hecke_orbit_code": 99079191835707519, "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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "2175.2.a.w", "level": 2175, "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": [3, 5, 29], "level_radical": 435, "minimal_twist": "435.2.c.e", "nf_label": "5.5.246832.1", "prim_orbit_index": 1, "qexp_display": "q+(-1+\\beta _{1})q^{2}-q^{3}+(1-\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2175.2.a", "trace_display": [-3, -5, 0, -8], "trace_hash": 27484892965497369, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, 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