# Stored data for newform 637.2.a.m, downloaded from the LMFDB on 04 February 2023. {"level_primes": [7, 13], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 97353017328462921, "level_radical": 91, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 13, "analytic_conductor": 5.086470608755561, "inner_twist_count": 1, "field_disc_factorization": [[2, 11], [31, 1], [71, 1]], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "637.2.a.m", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "637.2.a.m", "field_poly_is_cyclotomic": false, "dim": 6, "trace_zratio": {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, "traces": [0, 6, 0, -8, 4, -6, -4, 0, 0, 6, -4, 4, 4, -6, 0, 12, 0, -16, -4, -2, -16, 0, -12, -6, -12, -4, 0, -20, 0, -6, 0, -6, -20, 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188, -76, 32, 200, -108, -44], "hecke_ring_index_factorization": [], "nf_label": "6.6.4507648.1", "field_poly": [-1, -6, 7, 8, -5, -2, 1], "atkin_lehner_string": "++", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[7, 1], [13, 1]], "char_values": [637, 1, [248, 197], [1, 1]], "Nk2": 2548, "field_poly_root_of_unity": 0, "analytic_rank": 1, "char_orbit_label": "a", "weight": 2, "trace_display": [0, -8, -6, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-\\beta _{2}q^{2}+(-1-\\beta _{1})q^{3}+(1-\\beta _{1}-\\beta _{3}+\\cdots)q^{4}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 4507648, "level_is_prime_power": false, "relative_dim": 6, "hecke_cutters": [[2, [-2, 4, 14, 0, -8, 0, 1]], [3, [2, -8, -12, 12, 20, 8, 1]], [17, [-5294, -6792, -2792, -324, 56, 16, 1]]], "space_label": "637.2.a", "level": 637, "is_self_dual": true, 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