# Stored data for newform 1870.4.a.m, downloaded from the LMFDB on 01 October 2025.
{"Nk2": 29920, "analytic_conductor": 110.33357171073494, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [11, 1], [17, 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": [1870, 1, [1497, 1531, 1431], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 10, "field_disc": 825531882637040819229126196106496, "field_disc_factorization": [[2, 8], [3, 5], [17117, 1], [24203, 1], [96419, 1], [332221807987523, 1]], "field_poly": [-2234586, -1239587, 2121305, 275849, -258561, -13769, 11125, 198, -184, -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": [[3, [-2234586, -1239587, 2121305, 275849, -258561, -13769, 11125, 198, -184, -1, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195595556686, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 3, "hecke_ring_index_factorization": [[3, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "1870.4.a.m", "level": 1870, "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": true, "level_primes": [2, 5, 11, 17], "level_radical": 1870, "minimal_twist": "1870.4.a.m", "prim_orbit_index": 1, "qexp_display": "q+2q^{2}+\\beta _{1}q^{3}+4q^{4}-5q^{5}+2\\beta _{1}q^{6}+\\cdots", "related_objects": [], "relative_dim": 10, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1870.4.a", "trace_display": [20, 1, -50, 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