# Stored data for newform 1512.2.s.k, downloaded from the LMFDB on 29 March 2024. {"label": "1512.2.s.k", "space_label": "1512.2.s", "level": 1512, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45037233257842152, "dim": 6, "is_polredabs": true, "nf_label": "6.0.309123.1", "trace_hash": 2259108197607297699, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [1, 4, 17, -2, 5, 1, 1]], [11, [81, 108, 135, 30, 13, -1, 1]], [13, [3, -3, -2, 1]]], "qexp_display": "q+(\\beta _{1}-\\beta _{5})q^{5}+(-1-\\beta _{1}+\\beta _{2}+\\beta _{5})q^{7}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "s", "char_is_real": false, "Nk2": 6048, "analytic_conductor": 12.073380785617594, "hecke_ring_index": 3, "level_radical": 42, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [1512, 3, [1135, 757, 785, 1081], [3, 3, 3, 2]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 7], "conrey_indexes": [865, 1297], "field_disc": -309123, "field_disc_factorization": [[-1, 1], [3, 3], [107, 2]], "field_poly": [3, -12, 19, -15, 10, -3, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "5.275", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "102.982", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3943.332", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c3", "trace_display": [0, 0, -1, -4], "traces": 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