# Stored data for newform 3825.2.a.bq, downloaded from the LMFDB on 14 December 2025.
{"Nk2": 15300, "analytic_conductor": 30.542778773139748, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [17, 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": [3825, 1, [2126, 2602, 2026], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 1893456, "field_disc_factorization": [[2, 4], [3, 5], [487, 1]], "field_poly": [-25, 23, 10, -10, -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, [3, 21, 6, -10, -1, 1]], [7, [97, 109, 2, -22, -1, 1]], [11, [-60, -156, -120, -22, 4, 1]]], "hecke_orbit": 43, "hecke_orbit_code": 189151184383119089, "hecke_ring_generator_nbound": 7, "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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "3825.2.a.bq", "level": 3825, "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": [3, 5, 17], "level_radical": 255, "minimal_twist": "425.2.a.i", "nf_label": "5.5.1893456.1", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{2}q^{2}+(2+\\beta _{1}+\\beta _{2}+\\beta _{4})q^{4}+(-\\beta _{3}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "3825.2.a", "trace_display": [1, 0, 0, 1], "trace_hash": 893627183456803051, "trace_moments": [{"__RealLiteral__": 0, 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