# Stored data for newform 50.22.b.a, downloaded from the LMFDB on 10 September 2026.
{"Nk2": 24200, "analytic_conductor": 139.73867214353106, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 5, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 2, "char_orbit_label": "b", "char_order": 2, "char_parity": 1, "char_values": [50, 2, [27], [1]], "cm_discs": [], "conrey_index": 49, "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": [[3, [5127132816, 0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 69088575538, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "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": false, "label": "50.22.b.a", "level": 50, "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, 5], "level_radical": 10, "minimal_twist": "2.22.a.a", "nf_label": "2.0.4.1", "prim_orbit_index": 2, "qexp_display": "q+512\\beta q^{2}+35802\\beta q^{3}-1048576 q^{4}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "21.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "50.22.b", "trace_display": [0, 0, 0, 0], "trace_hash": 2145202568058942348, "trace_moments": [{"__RealLiteral__": 0, "data": "0.039", "prec": 7}, {"__RealLiteral__": 0, "data": "1.946", "prec": 14}, {"__RealLiteral__": 0, "data": "0.322", "prec": 10}, {"__RealLiteral__": 0, "data": "15.392", "prec": 17}, {"__RealLiteral__": 0, "data": "3.370", "prec": 14}, 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