# Stored data for newform 2475.4.a.v, downloaded from the LMFDB on 08 December 2024.
{"Nk2": 39600, "analytic_conductor": 146.02972726420802, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [11, 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": [2475, 1, [551, 2377, 2026], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 3368, "field_disc_factorization": [[2, 3], [421, 1]], "field_poly": [11, -15, -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, [-11, -15, 1, 1]], [7, [-174, -173, -16, 1]], [29, [1432824, -4624, -277, 1]]], "hecke_orbit": 22, "hecke_orbit_code": 94575592241891755, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "2475.4.a.v", "level": 2475, "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, 11], "level_radical": 165, "minimal_twist": "825.4.a.o", "nf_label": "3.3.3368.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(3+2\\beta _{2})q^{4}+(7-4\\beta _{1}+\\beta _{2})q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2475.4.a", "trace_display": [-1, 0, 0, 16], "trace_hash": 2142427456641024199, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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