# Stored data for newform 275.6.a.c, downloaded from the LMFDB on 18 August 2026.
{"Nk2": 9900, "analytic_conductor": 44.10555044856967, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[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": [275, 1, [177, 101], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 21865, "field_disc_factorization": [[5, 1], [4373, 1]], "field_poly": [40, -30, -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, [268, -44, -7, 1]]], "hecke_orbit": 3, "hecke_orbit_code": 9007199355404563, "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": "275.6.a.c", "level": 275, "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": [5, 11], "level_radical": 55, "minimal_twist": "55.6.a.a", "nf_label": "3.3.21865.1", "prim_orbit_index": 1, "qexp_display": "q+(2+\\beta _{2})q^{2}+(11+3\\beta _{1})q^{3}+(12+4\\beta _{1}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "275.6.a", "trace_display": [7, 36, 0, 102], "trace_hash": 358697381182992817, "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 4}, {"__RealLiteral__": 0, "data": "2.865", "prec": 14}, {"__RealLiteral__": 0, "data": "0.096", "prec": 7}, 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