# Stored data for newform 1472.4.a.bh, downloaded from the LMFDB on 09 November 2025.
{"Nk2": 23552, "analytic_conductor": 86.85081152845018, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [23, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1472, 1, [1151, 645, 833], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 23956581572399767296, "field_disc_factorization": [[2, 8], [3, 1], [389479, 1], [80090237443, 1]], "field_poly": [51084, 45072, -89643, -7924, 6175, 344, -137, -4, 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": [[3, [-179952, 210540, 4757, -32868, 1395, 1188, -81, -12, 1]]], "hecke_orbit": 34, "hecke_orbit_code": 148618787770336704, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 256, "hecke_ring_index_factorization": [[2, 8]], "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": "1472.4.a.bh", "level": 1472, "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, 23], "level_radical": 46, "minimal_twist": "736.4.a.e", "prim_orbit_index": 1, "qexp_display": "q+(2-\\beta _{1})q^{3}+(1+\\beta _{3})q^{5}+(2-\\beta _{7})q^{7}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1472.4.a", "trace_display": [0, 12, 12, 14], "trace_hash": 1172561292314669623, "trace_moments": [{"__RealLiteral__": 0, "data": 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