# Stored data for newform 450.4.c.b, downloaded from the LMFDB on 19 August 2026.
{"Nk2": 7200, "analytic_conductor": 26.550859502583275, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 5, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 3, "char_orbit_label": "c", "char_order": 2, "char_parity": 1, "char_values": [450, 2, [101, 127], [2, 1]], "cm_discs": [], "conrey_index": 199, "dim": 2, "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 4, "has_non_self_twist": 1, "hecke_cutters": [[7, [121, 0, 1]], [11, [36, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503737133433282, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "450.4.c.b", "level": 450, "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], "level_radical": 30, "minimal_twist": "450.4.a.d", "nf_label": "2.0.4.1", "prim_orbit_index": 2, "qexp_display": "q-2 i q^{2}-4 q^{4}+11 i q^{7}+8 i q^{8}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "450.4.c", "trace_display": [0, 0, 0, 0], "trace_hash": 59065056361838458, "trace_moments": [0, {"__RealLiteral__": 0, "data": "1.943", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "15.395", "prec": 17}, {"__RealLiteral__": 0, "data": "0.443", "prec": 10}, {"__RealLiteral__": 0, "data": "151.700", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.508", 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