# Stored data for newform 6975.2.a.bc, downloaded from the LMFDB on 14 October 2026.
{"Nk2": 27900, "analytic_conductor": 55.69565540984307, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -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": [6975, 1, [776, 5302, 1801], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -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, [-2, -4, 0, 1]], [7, [-4, 0, 4, 1]], [11, [37, 3, -7, 1]], [13, [-62, -34, 0, 1]], [17, [-59, -7, 7, 1]], [29, [1, 5, -5, 1]]], "hecke_orbit": 29, "hecke_orbit_code": 126100789599935295, "hecke_ring_generator_nbound": 2, "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": "6975.2.a.bc", "level": 6975, "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, 31], "level_radical": 465, "minimal_twist": "2325.2.a.t", "nf_label": "3.3.148.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{2}q^{2}+(1-\\beta _{1}-\\beta _{2})q^{4}+(-1-\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6975.2.a", "trace_display": [0, 0, 0, -4], "trace_hash": 2027668123683192120, "trace_moments": 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