# Stored data for newform 245.6.a.k, downloaded from the LMFDB on 18 April 2024.
{"label": "245.6.a.k", "space_label": "245.6.a", "level": 245, "weight": 6, "hecke_orbit": 11, "hecke_orbit_code": 45035996374368501, "dim": 8, "is_polredabs": true, "trace_hash": 1880215958728631643, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1012704, 463952, -317696, -25016, 15166, 537, -225, -3, 1]], [3, [2571136884, -76563792, -109744365, -2145922, 752739, 5436, -1579, -2, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{3}q^{3}+(5^{2}+\\beta _{1}+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8820, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 39.29403585418026, "hecke_ring_index": 10976, "level_radical": 35, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [245, 1, [197, 101], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [5, 7], "conrey_indexes": [1], "field_disc": 30653806424589519614059008, "field_disc_factorization": [[2, 9], [3, 1], [7, 1], [17258699, 1], [165191273144071, 1]], "field_poly": [1012704, 463952, -317696, -25016, 15166, 537, -225, -3, 1], "hecke_ring_index_factorization": [[2, 5], [7, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.065", "prec": 17}, {"__RealLiteral__": 0, "data": "7.253", "prec": 17}, {"__RealLiteral__": 0, "data": "0.307", "prec": 17}, {"__RealLiteral__": 0, "data": "145.256", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4508.088", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [7, 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