# Stored data for newform 1127.4.a.d, downloaded from the LMFDB on 21 February 2026.
{"Nk2": 18032, "analytic_conductor": 66.49515257646968, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[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": [1127, 1, [346, 442], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 182257876, "field_disc_factorization": [[2, 2], [1259, 1], [36191, 1]], "field_poly": [24, 44, -4, -18, -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": [[2, [46, -17, -54, -12, 4, 1]], [3, [-764, -698, 388, -14, -11, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510798949221479, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "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": "1127.4.a.d", "level": 1127, "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": [7, 23], "level_radical": 161, "minimal_twist": "161.4.a.a", "prim_orbit_index": 1, "qexp_display": "q+(-1+\\beta _{1})q^{2}+(2+\\beta _{4})q^{3}+\\beta _{2}q^{4}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1127.4.a", "trace_display": [-4, 11, 4, 0], "trace_hash": 1046579566044867230, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.831", "prec": 17}, 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