# Stored data for newform 74.8.a.c, downloaded from the LMFDB on 16 September 2024.
{"Nk2": 4736, "analytic_conductor": 23.11649188582501, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [37, 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": [74, 1, [39], [1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 1674331256938935720709105, "field_disc_factorization": [[5, 1], [19, 1], [5749, 1], [107186621, 1], [28601241871, 1]], "field_poly": [-22608804936, -305547358, 31004503, 102052, -10621, -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, [-23355301401, -6853572, 30949008, 108368, -10296, -28, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199388958794, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "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": "74.8.a.c", "level": 74, "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, 37], "level_radical": 74, "minimal_twist": "74.8.a.c", "prim_orbit_index": 1, "qexp_display": "q-8q^{2}+(5-\\beta _{1})q^{3}+2^{6}q^{4}+(-4+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "74.8.a", "trace_display": [-48, 28, -14, -980], "trace_hash": 1514667766334133573, "trace_moments": [{"__RealLiteral__": 0, "data": "0.076", "prec": 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