# Stored data for newform 1344.4.a.bt, downloaded from the LMFDB on 04 October 2025.
{"Nk2": 21504, "analytic_conductor": 79.29856704771538, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, 1]], "atkin_lehner_string": "+++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1344, 1, [127, 1093, 449, 577], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 22700, "field_disc_factorization": [[2, 2], [5, 2], [227, 1]], "field_poly": [12, -28, -1, 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": [[5, [1400, -300, -10, 1]], [11, [-45280, -2840, 0, 1]]], "hecke_orbit": 46, "hecke_orbit_code": 202661983298782528, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 16, "hecke_ring_index_factorization": [[2, 4]], "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": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1344.4.a.bt", "level": 1344, "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, 3, 7], "level_radical": 42, "minimal_twist": "672.4.a.o", "nf_label": "3.3.22700.1", "prim_orbit_index": 1, "qexp_display": "q-3q^{3}+(3+\\beta _{2})q^{5}-7q^{7}+9q^{9}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1344.4.a", "trace_display": [0, -9, 10, -21], "trace_hash": 86797967327562045, "trace_moments": [{"__RealLiteral__": 0, "data": "0.062", "prec": 17}, {"__RealLiteral__": 0, "data": "2.941", "prec": 17}, 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