# Stored data for newform 5550.2.a.bh, downloaded from the LMFDB on 08 December 2025.
{"Nk2": 22200, "analytic_conductor": 44.31697312181061, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [37, 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": [5550, 1, [3701, 1777, 2851], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [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": [[7, [3, 1]], [11, [-5, 1]], [13, [3, 1]], [17, [3, 1]]], "hecke_orbit": 34, "hecke_orbit_code": 148618787736786350, "hecke_ring_generator_nbound": 1, "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": false, "label": "5550.2.a.bh", "level": 5550, "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, 5, 37], "level_radical": 1110, "minimal_twist": "222.2.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\\cdots", "related_objects": ["EllipticCurve/Q/5550/bh"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5550.2.a", "trace_display": [1, 1, 0, -3], "trace_hash": 1336026987394551546, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.946", "prec": 17}, {"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "4.829", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, "traces": [0, 1, 1, 1, 1, 0, 1, -3, 1, 1, 0, 5, 1, -3, -3, 0, 1, -3, 1, -7, 0, -3, 5, -9, 1, 0, -3, 1, -3, 0, 0, -2, 1, 5, -3, 0, 1, -1, -7, -3, 0, 6, -3, -4, 5, 0, -9, 10, 1, 2, 0, -3, -3, -3, 1, 0, -3, -7, 0, -4, 0, -2, -2, -3, 1, 0, 5, -6, -3, -9, 0, -12, 1, -13, -1, 0, -7, -15, -3, -6, 0, 1, 6, -5, -3, 0, -4, 0, 5, 11, 0, 9, -9, -2, 10, 0, 1, -6, 2, 5, 0, 10, -3, 2, -3, 0, -3, 1, 1, -7, 0, -1, -3, 10, -7, 0, 0, -3, -4, 9, 0, 14, -2, 6, -2, 0, -3, -1, 1, -4, 0, 14, 5, 21, -6, 0, -3, 12, -9, 2, 0, 10, -12, -15, 1, 0, -13, 2, -1, -6, 0, -15, -7, -3, -15, 0, -3, -4, -6, -3, 0, 27, 1, 5, 6, 0, -5, 5, -3, -4, 0, -7, -4, 11, 0, 0, 5, -4, 11, -24, 0, -16, 9, -2, -9, 0, -2, -15, 10, -3, 0, 13, 1, -14, -6, 0, 2, 15, 5, 4, 0, -6, 10, 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