# Stored data for newform 2178.4.a.bm, downloaded from the LMFDB on 05 October 2026.
{"Nk2": 34848, "analytic_conductor": 128.50615999250306, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 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": [2178, 1, [1937, 1333], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 280, "field_disc_factorization": [[2, 3], [5, 1], [7, 1]], "field_poly": [-70, 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": [[5, [-264, -8, 1]], [7, [44, 36, 1]], [17, [-2364, -92, 1]]], "hecke_orbit": 39, "hecke_orbit_code": 171136785907189890, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "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": "2178.4.a.bm", "level": 2178, "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, 11], "level_radical": 66, "minimal_twist": "198.4.a.i", "nf_label": "2.2.280.1", "prim_orbit_index": 1, "qexp_display": "q+2q^{2}+4q^{4}+(4+\\beta )q^{5}+(-18-\\beta )q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2178.4.a", "trace_display": [4, 0, 8, -36], "trace_hash": 927380198112937569, "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 7}, {"__RealLiteral__": 0, "data": "1.985", "prec": 14}, 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