# Stored data for newform 2014.2.a.g, downloaded from the LMFDB on 29 May 2024. {"Nk2": 8056, "analytic_conductor": 16.08187096708587, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [19, 1], [53, 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": [2014, 1, [743, 267], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 8, "field_disc": 497146019932, "field_disc_factorization": [[2, 2], [617, 1], [13177, 1], [15287, 1]], "field_poly": [-10, -52, -61, 21, 50, -1, -13, 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": [[3, [-10, 52, -61, -21, 50, 1, -13, 0, 1]], [7, [52, -236, -391, 84, 179, -6, -24, 0, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597797779422, "hecke_ring_generator_nbound": 3, "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": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "2014.2.a.g", "level": 2014, "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": true, "level_primes": [2, 19, 53], "level_radical": 2014, "minimal_twist": "2014.2.a.g", "prim_orbit_index": 1, "qexp_display": "q-q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{5}q^{5}+\\beta _{1}q^{6}+\\cdots", "related_objects": [], "relative_dim": 8, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2014.2.a", "trace_display": [-8, 0, 1, 0], "trace_hash": 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