# Stored data for newform 1575.4.a.bh, downloaded from the LMFDB on 06 December 2024.
{"Nk2": 25200, "analytic_conductor": 92.92800825904146, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, -1], [7, 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": [1575, 1, [1226, 127, 451], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 3030748, "field_disc_factorization": [[2, 2], [7, 3], [47, 2]], "field_poly": [28, 0, -21, 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, [28, 0, -21, 0, 1]], [11, [11200, 0, -567, 0, 1]], [13, [-52, -11, 1]]], "hecke_orbit": 34, "hecke_orbit_code": 148618787770336807, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 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": "1575.4.a.bh", "level": 1575, "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, 7], "level_radical": 105, "minimal_twist": "1575.4.a.bh", "nf_label": "4.4.3030748.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(3+\\beta _{3})q^{4}-7q^{7}+(3\\beta _{1}+\\cdots)q^{8}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1575.4.a", "trace_display": [0, 0, 0, -28], "trace_hash": 2207326135355796718, "trace_moments": 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