# Stored data for newform 2535.2.a.m, downloaded from the LMFDB on 17 December 2025.
{"Nk2": 10140, "analytic_conductor": 20.242076912394577, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [13, 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": [2535, 1, [1691, 1522, 1861], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 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": [[2, [-2, 1]], [7, [-5, 1]], [11, [-2, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195562002919, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "2535.2.a.m", "level": 2535, "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": false, "level_primes": [3, 5, 13], "level_radical": 195, "minimal_twist": "195.2.i.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+5q^{7}+\\cdots", "related_objects": ["EllipticCurve/Q/2535/m"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2535.2.a", "trace_display": [2, 1, -1, 5], "trace_hash": 295870235991575865, "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.080", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, "traces": [0, 1, 2, 1, 2, -1, 2, 5, 0, 1, -2, 2, 2, 0, 10, -1, -4, 2, 2, 0, -2, 5, 4, 6, 0, 1, 0, 1, 10, -4, -2, -7, -8, 2, 4, -5, 2, -2, 0, 0, 0, 6, 10, 1, 4, -1, 12, -8, -4, 18, 2, 2, 0, -4, 2, -2, 0, 0, -8, 12, -2, -13, -14, 5, -8, 0, 4, -7, 4, 6, -10, 12, 0, 15, -4, 1, 0, 10, 0, 3, 4, 1, 12, 8, 10, -2, 2, -4, 0, 14, -2, 0, 12, -7, -16, 0, -8, -5, 36, 2, 2, -18, 4, -7, 0, -5, -8, 4, 2, -11, -4, -2, -20, -2, 0, -6, -8, 0, 24, 10, 0, -7, -26, 6, -14, -1, 10, -11, 0, 1, 0, -4, 4, 0, -14, -1, 0, -2, 12, -3, -10, -8, 24, 0, -4, 4, 30, 18, -4, -12, 2, -8, 0, 2, 20, 7, 0, -15, 6, -4, 8, 30, 2, -15, 12, -2, 16, 12, 0, 0, -4, 0, 2, 0, -8, 5, -8, 12, 28, -6, -2, -22, 0, -13, 0, 2, -14, 4, -16, 5, 0, 12, -8, -11, -10, 0, 36, -12, 4, 17, 0, -7, -36, -20, 4, -6, 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