# Stored data for newform 1815.4.a.bb, downloaded from the LMFDB on 11 September 2024.
{"Nk2": 29040, "analytic_conductor": 107.08846666041921, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -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": [1815, 1, [1211, 727, 1696], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 17003768842800, "field_disc_factorization": [[2, 4], [3, 3], [5, 2], [39679, 2]], "field_poly": [-1200, 0, 495, 0, -44, 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": 1, "hecke_cutters": [[2, [-1200, 0, 495, 0, -44, 0, 1]], [7, [-6571200, 0, 263040, 0, -1256, 0, 1]]], "hecke_orbit": 28, "hecke_orbit_code": 121597190006114071, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 80, "hecke_ring_index_factorization": [[2, 4], [5, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0]], "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": true, "label": "1815.4.a.bb", "level": 1815, "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, 11], "level_radical": 165, "minimal_twist": "1815.4.a.bb", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+3q^{3}+(7+\\beta _{2})q^{4}+5q^{5}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1815.4.a", "trace_display": [0, 18, 30, 0], "trace_hash": 1817693964976016794, "trace_moments": 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