# Stored data for newform 7406.2.a.bb, downloaded from the LMFDB on 10 October 2026.
{"Nk2": 29624, "analytic_conductor": 59.13720773696025, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, -1], [23, 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": [7406, 1, [2117, 3179], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 4352, "field_disc_factorization": [[2, 8], [17, 1]], "field_poly": [2, -4, -6, 0, 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, [2, -4, -6, 0, 1]], [5, [-14, -20, -2, 4, 1]], [11, [2, 4, 1]]], "hecke_orbit": 28, "hecke_orbit_code": 121597189972565230, "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": true, "label": "7406.2.a.bb", "level": 7406, "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, 7, 23], "level_radical": 322, "minimal_twist": "7406.2.a.bb", "nf_label": "4.4.4352.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(-\\beta _{1}+\\beta _{3})q^{3}+q^{4}+(-1+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7406.2.a", "trace_display": [4, 0, -4, 4], "trace_hash": 1979332040083909673, "trace_moments": [{"__RealLiteral__": 0, "data": "0.026", "prec": 7}, {"__RealLiteral__": 0, "data": "3.883", "prec": 14}, 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