# Stored data for newform 1767.2.a.c, downloaded from the LMFDB on 18 April 2026.
{"Nk2": 7068, "analytic_conductor": 14.109566037160244, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [19, 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": [1767, 1, [590, 838, 685], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 9, "field_disc": 14677292336464, "field_disc_factorization": [[2, 4], [431, 1], [5471, 1], [389029, 1]], "field_poly": [-5, 7, 63, -49, -59, 40, 19, -11, -2, 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, [5, 7, -63, -49, 59, 40, -19, -11, 2, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199288297191, "hecke_ring_generator_nbound": 11, "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": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1767.2.a.c", "level": 1767, "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": true, "level_primes": [3, 19, 31], "level_radical": 1767, "minimal_twist": "1767.2.a.c", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}-\\beta _{4}q^{5}+\\cdots", "related_objects": [], "relative_dim": 9, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1767.2.a", "trace_display": [-2, -9, 0, 4], "trace_hash": 880785733327204282, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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