# Stored data for newform 240.10.a.m, downloaded from the LMFDB on 10 May 2024.
{"label": "240.10.a.m", "space_label": "240.10.a", "level": 240, "weight": 10, "hecke_orbit": 13, "hecke_orbit_code": 54043195696218352, "dim": 2, "is_polredabs": true, "nf_label": "2.2.4729.1", "trace_hash": 2295272801932198550, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [31528560, -11872, 1]]], "qexp_display": "q-3^{4}q^{3}-5^{4}q^{5}+(5936-7\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24000, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 123.60860067932956, "hecke_ring_index": 8, "level_radical": 30, "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": [240, 1, [31, 181, 161, 97], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 4729, "field_disc_factorization": [[4729, 1]], "field_poly": [-1182, -1, 1], "hecke_ring_index_factorization": [[2, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.042", "prec": 17}, {"__RealLiteral__": 0, "data": "1.906", "prec": 17}, {"__RealLiteral__": 0, "data": "0.424", "prec": 17}, {"__RealLiteral__": 0, "data": "8.548", "prec": 17}, {"__RealLiteral__": 0, "data": "3.384", "prec": 17}, {"__RealLiteral__": 0, "data": "53.029", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1]], "trace_display": [0, -162, -1250, 11872], "traces": [0, 2, 0, -162, 0, -1250, 0, 11872, 0, 13122, 0, -35488, 0, 143676, 0, 101250, 0, 385156, 0, 403296, 0, -961632, 0, -223704, 0, 781250, 0, -1062882, 0, -74572, 0, 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