# Stored data for newform 9610.2.a.j, downloaded from the LMFDB on 07 June 2024.
{"Nk2": 38440, "analytic_conductor": 76.73623634245045, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, 1], [31, -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": [9610, 1, [5767, 7691], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 12, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-2, -2, 1]], [7, [-12, 0, 1]], [11, [-2, -2, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396679898506, "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": "9610.2.a.j", "level": 9610, "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": [2, 5, 31], "level_radical": 310, "minimal_twist": "310.2.a.c", "nf_label": "2.2.12.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+(1+\\beta )q^{3}+q^{4}-q^{5}+(-1+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9610.2.a", "trace_display": [-2, 2, -2, 0], "trace_hash": 857042829134954626, "trace_moments": [{"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "1.922", "prec": 17}, {"__RealLiteral__": 0, "data": "0.123", 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