# Stored data for newform 7605.2.a.bt, downloaded from the LMFDB on 24 April 2024.
{"label": "7605.2.a.bt", "space_label": "7605.2.a", "level": 7605, "weight": 2, "hecke_orbit": 46, "hecke_orbit_code": 202661983265234357, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 1279244972960637636, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, -4, 0, 1]], [7, [67, -13, -5, 1]], [11, [32, -16, -4, 1]]], "qexp_display": "q-\\beta _{2}q^{2}+(1-\\beta _{1}-\\beta _{2})q^{4}-q^{5}+(1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30420, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 60.726230737183734, "hecke_ring_index": 1, "level_radical": 195, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [7605, 1, [6761, 1522, 6931], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.105", "prec": 17}, {"__RealLiteral__": 0, "data": "2.912", "prec": 17}, {"__RealLiteral__": 0, "data": "1.027", "prec": 17}, {"__RealLiteral__": 0, "data": "24.124", "prec": 20}, {"__RealLiteral__": 0, "data": "11.760", "prec": 20}, {"__RealLiteral__": 0, "data": "312.529", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [13, 1]], "trace_display": [0, 0, -3, 5], "traces": [0, 3, 0, 0, 2, -3, 0, 5, 6, 0, 0, 4, 0, 0, 12, 0, 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