# Stored data for newform 6845.2.a.g, downloaded from the LMFDB on 23 September 2025.
{"Nk2": 27380, "analytic_conductor": 54.65760018356642, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 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": [6845, 1, [5477, 1371], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 368464, "field_disc_factorization": [[2, 4], [23029, 1]], "field_poly": [-4, 6, 6, -6, -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": [[2, [2, 11, -2, -8, 0, 1]], [7, [-2, 0, 24, 6, -7, 1]], [17, [32, -92, 36, 12, -8, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597797784253, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "6845.2.a.g", "level": 6845, "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": [5, 37], "level_radical": 185, "minimal_twist": "185.2.a.d", "nf_label": "5.5.368464.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{2}q^{2}-\\beta _{3}q^{3}+(2-\\beta _{1}-\\beta _{4})q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6845.2.a", "trace_display": [0, -1, -5, 7], "trace_hash": 2159743925903953737, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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