# Stored data for newform 4275.2.a.bv, downloaded from the LMFDB on 04 October 2025.
{"Nk2": 17100, "analytic_conductor": 34.136046864097366, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -1], [19, -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": [4275, 1, [1901, 1027, 1351], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 7, "field_disc": 4477025200, "field_disc_factorization": [[2, 4], [5, 2], [11192563, 1]], "field_poly": [4, 12, -51, 11, 26, -8, -3, 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, [-4, 12, 51, 11, -26, -8, 3, 1]], [7, [232, 568, -418, -166, 126, -1, -8, 1]], [11, [-3232, -4016, -546, 680, 112, -43, -4, 1]]], "hecke_orbit": 48, "hecke_orbit_code": 211669182519972019, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "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": "4275.2.a.bv", "level": 4275, "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, 19], "level_radical": 285, "minimal_twist": "285.2.c.b", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(1+\\beta _{4})q^{7}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "4275.2.a", "trace_display": [-3, 0, 0, 8], "trace_hash": 1037801575077919332, "trace_moments": 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