# Stored data for newform 6050.2.a.dm, downloaded from the LMFDB on 22 May 2024.
{"Nk2": 24200, "analytic_conductor": 48.30949322287463, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -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": [6050, 1, [727, 2301], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 35136, "field_disc_factorization": [[2, 6], [3, 2], [61, 1]], "field_poly": [9, 6, -8, -2, 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, [6, 12, -8, -2, 1]], [7, [9, -6, -8, 2, 1]], [13, [6, -12, -20, 2, 1]], [17, [36, -48, -20, 4, 1]], [19, [-552, 72, 64, -16, 1]]], "hecke_orbit": 91, "hecke_orbit_code": 405323966496905122, "hecke_ring_generator_nbound": 13, "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_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "6050.2.a.dm", "level": 6050, "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": [2, 5, 11], "level_radical": 110, "minimal_twist": "6050.2.a.db", "nf_label": "4.4.35136.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(\\beta _{1}-\\beta _{2})q^{3}+q^{4}+(\\beta _{1}-\\beta _{2}+\\cdots)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": "6050.2.a", "trace_display": [4, 2, 0, -2], "trace_hash": 2304332256577825996, "trace_moments": [{"__RealLiteral__": 0, "data": 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