# Stored data for newform 7225.2.a.bs, downloaded from the LMFDB on 16 November 2024.
{"Nk2": 28900, "analytic_conductor": 57.69191546037508, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[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": [7225, 1, [2602, 2026], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 12, "field_disc": 1784918073833160704, "field_disc_factorization": [[2, 35], [127, 1], [449, 1], [911, 1]], "field_poly": [17, 92, 46, -316, -137, 424, 44, -232, 21, 52, -10, -4, 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, [17, 92, 46, -316, -137, 424, 44, -232, 21, 52, -10, -4, 1]], [3, [2, 56, 356, 16, -854, 56, 680, -176, -186, 80, 8, -8, 1]], [7, [6338, 6056, -45684, 27608, 26714, -28888, 4204, 4048, -1680, 72, 76, -16, 1]], [11, [-1598, -26032, 83664, -7808, -55616, 4176, 14580, 480, -1658, -232, 60, 16, 1]]], "hecke_orbit": 45, "hecke_orbit_code": 198158383637863481, "hecke_ring_generator_nbound": 3, "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": "7225.2.a.bs", "level": 7225, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [5, 17], "level_radical": 85, "minimal_twist": "85.2.l.a", "prim_orbit_index": 1, "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{5})q^{3}+(1+\\beta _{6}+\\beta _{7}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 12, "rm_discs": [], 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