# Stored data for newform 6825.2.a.bl, downloaded from the LMFDB on 18 May 2025.
{"Nk2": 27300, "analytic_conductor": 54.497899379523865, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -1], [7, 1], [13, 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": [6825, 1, [2276, 3277, 976, 4201], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 14013, "field_disc_factorization": [[3, 4], [173, 1]], "field_poly": [3, 6, -6, -1, 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, [3, 6, -6, -1, 1]], [11, [269, -38, -33, 2, 1]], [17, [-21, 50, -30, 3, 1]], [19, [7, 55, 51, 13, 1]]], "hecke_orbit": 38, "hecke_orbit_code": 166633186246269609, "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": true, "label": "6825.2.a.bl", "level": 6825, "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, 13], "level_radical": 1365, "minimal_twist": "6825.2.a.bf", "nf_label": "4.4.14013.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+\\beta _{1}q^{6}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6825.2.a", "trace_display": [1, 4, 0, -4], "trace_hash": 1313492388073099157, "trace_moments": 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