# Stored data for newform 4900.2.e.s, downloaded from the LMFDB on 20 April 2024. {"label": "4900.2.e.s", "space_label": "4900.2.e", "level": 4900, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81065068204135204, "dim": 6, "is_polredabs": true, "nf_label": "6.0.4227136.2", "trace_hash": 1731377144073593427, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [9, 0, 70, 0, 17, 0, 1]], [11, [9, -3, -4, 1]], [19, [21, -23, 2, 1]], [31, [-37, -42, -3, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+(-2-\\beta _{4}-\\beta _{5})q^{9}+(1+\\beta _{5})q^{11}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "e", "char_is_real": true, "Nk2": 19600, "analytic_conductor": 39.12669699042739, "hecke_ring_index": 9, "level_radical": 70, "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": "0.511", "prec": 17}, "analytic_rank_proved": true, "char_values": [4900, 2, [2451, 1177, 101], [2, 1, 2]], "hecke_ring_generator_nbound": 17, "inner_twist_count": 2, "level_primes": [2, 5, 7], "conrey_indexes": [2549], "field_disc": -4227136, "field_disc_factorization": [[-1, 1], [2, 6], [257, 2]], "field_poly": [9, 0, 22, 0, 9, 0, 1], "hecke_ring_index_factorization": [[3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.606", "prec": 17}, {"__RealLiteral__": 0, "data": "0.091", "prec": 17}, {"__RealLiteral__": 0, "data": "171.275", "prec": 24}, {"__RealLiteral__": 0, "data": "41.517", "prec": 20}, {"__RealLiteral__": 0, "data": "8183.315", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 0, 0, 0], "traces": 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