# Stored data for newform 4425.2.a.bi, downloaded from the LMFDB on 03 June 2024. {"Nk2": 17700, "analytic_conductor": 35.33380289441657, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, -1], [59, 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": [4425, 1, [2951, 2302, 3601], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 10, "field_disc": 11410507312475968, "field_disc_factorization": [[2, 6], [709, 1], [13421, 1], [18736733, 1]], "field_poly": [-2, -12, 2, 72, 4, -92, -3, 37, -3, -5, 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, [-1, -54, -165, -65, 164, 121, -38, -47, -3, 5, 1]], [7, [476, 4240, 10164, 2436, -3776, -948, 563, 97, -39, -3, 1]], [11, [30508, -3164, -46244, 25384, 5176, -5388, 239, 353, -41, -7, 1]]], "hecke_orbit": 35, "hecke_orbit_code": 153122387364155721, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 5, "hecke_ring_index_factorization": [[5, 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": true, "label": "4425.2.a.bi", "level": 4425, "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, 59], "level_radical": 885, "minimal_twist": "4425.2.a.bi", "prim_orbit_index": 1, "qexp_display": "q+(-1+\\beta _{1})q^{2}-q^{3}+(1+\\beta _{2})q^{4}+\\cdots", "related_objects": [], "relative_dim": 10, "rm_discs": [], "sato_tate_group": "1.2.3.c1", 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