# Stored data for newform 3762.2.a.bg, downloaded from the LMFDB on 17 August 2026.
{"Nk2": 15048, "analytic_conductor": 30.03972124040568, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [11, -1], [19, 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": [3762, 1, [2927, 343, 2377], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 621, "field_disc_factorization": [[3, 3], [23, 1]], "field_poly": [-3, -6, 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, [18, -9, -3, 1]], [7, [-57, -6, 6, 1]], [13, [-29, -18, 0, 1]], [17, [4, 18, -9, 1]]], "hecke_orbit": 33, "hecke_orbit_code": 144115188109414066, "hecke_ring_generator_nbound": 7, "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": "3762.2.a.bg", "level": 3762, "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, 19], "level_radical": 1254, "minimal_twist": "418.2.a.g", "nf_label": "3.3.621.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{4}+(1+\\beta _{1}+\\beta _{2})q^{5}+(-2+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3762.2.a", "trace_display": [3, 0, 3, -6], "trace_hash": 1779346671697920545, "trace_moments": [{"__RealLiteral__": 0, "data": "0.049", "prec": 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