# Stored data for newform 25.8.a.b, downloaded from the LMFDB on 10 December 2025.
{"Nk2": 1600, "analytic_conductor": 7.809625637103044, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 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": [25, 1, [2], [1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 76, "field_disc_factorization": [[2, 2], [19, 1]], "field_poly": [-19, 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": [[2, [24, 20, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599761588249, "hecke_ring_generator_nbound": 2, "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": "25.8.a.b", "level": 25, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": true, "level_is_square": true, "level_is_squarefree": false, "level_primes": [5], "level_radical": 5, "minimal_twist": "5.8.a.b", "nf_label": "2.2.76.1", "prim_orbit_index": 1, "qexp_display": "q+(-10+\\beta )q^{2}+(-10-8\\beta )q^{3}+(48+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "25.8.a", "trace_display": [-20, -20, 0, 100], "trace_hash": 1030713280179422561, "trace_moments": [{"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "1.927", "prec": 17}, {"__RealLiteral__": 0, "data": "0.090", "prec": 17}, {"__RealLiteral__": 0, "data": "9.290", "prec": 17}, 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