# Stored data for newform 4275.2.a.bg, downloaded from the LMFDB on 10 August 2026.
{"Nk2": 17100, "analytic_conductor": 34.136046864097366, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 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": [4275, 1, [1901, 1027, 1351], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 837, "field_disc_factorization": [[3, 3], [31, 1]], "field_poly": [-1, -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": [[2, [-1, -6, 0, 1]], [7, [16, -21, 0, 1]], [11, [16, -12, -3, 1]]], "hecke_orbit": 33, "hecke_orbit_code": 144115188109414579, "hecke_ring_generator_nbound": 2, "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": "4275.2.a.bg", "level": 4275, "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, 19], "level_radical": 285, "minimal_twist": "1425.2.a.t", "nf_label": "3.3.837.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(-\\beta _{1}-\\beta _{2})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": "4275.2.a", "trace_display": [0, 0, 0, 0], "trace_hash": 1807083506190062450, "trace_moments": [0, {"__RealLiteral__": 0, "data": "2.920", "prec": 14}, 0, {"__RealLiteral__": 0, 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