# Stored data for newform 7105.2.a.a, downloaded from the LMFDB on 07 December 2025.
{"Nk2": 28420, "analytic_conductor": 56.73371063611971, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, -1], [7, -1], [29, 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": [7105, 1, [1422, 6961, 2206], [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, [1, 1]], [3, [2, 1]], [17, [0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 33561537, "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": "7105.2.a.a", "level": 7105, "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": [5, 7, 29], "level_radical": 1015, "minimal_twist": "1015.2.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}-2q^{3}-q^{4}+q^{5}+2q^{6}+3q^{8}+\\cdots", "related_objects": ["EllipticCurve/Q/7105/a"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7105.2.a", "trace_display": [-1, -2, 1, 0], "trace_hash": 1259592318513062601, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.025", "prec": 17}, {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "2.012", "prec": 17}, {"__RealLiteral__": 0, "data": "0.066", "prec": 17}, {"__RealLiteral__": 0, "data": "4.935", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, "traces": [0, 1, -1, -2, -1, 1, 2, 0, 3, 1, -1, 0, 2, 2, 0, -2, -1, 0, -1, -6, -1, 0, 0, 8, -6, 1, -2, 4, 0, -1, 2, -2, -5, 0, 0, 0, -1, -2, 6, -4, 3, -8, 0, 8, 0, 1, -8, -6, 2, 0, -1, 0, -2, -2, -4, 0, 0, 12, 1, -12, 2, 4, 2, 0, 7, 2, 0, -12, 0, -16, 0, 8, 3, 0, 2, -2, 6, 0, 4, 16, -1, -11, 8, 0, 0, 0, -8, 2, 0, 12, -1, 0, -8, 4, 6, -6, 10, -8, 0, 0, -1, 12, 0, -16, 6, 0, 2, 4, -4, -14, 0, 4, 0, 6, -12, 8, 1, 2, 12, 0, -6, -11, -4, 16, 2, 1, 0, -4, 3, -16, -2, -6, 0, 0, 12, 4, 0, 18, 16, 4, 0, 12, -8, 0, -1, -1, 0, 0, 2, 18, 2, -24, -18, 0, 0, -2, 4, 8, -16, 4, -5, 0, 11, 4, 8, 0, 0, -4, 0, -9, 0, -6, -8, 2, -2, 0, 0, 24, -12, 12, -1, 18, 0, -8, 24, -2, -4, 0, 6, 0, 6, -8, -14, 14, 8, -4, 0, -22, 0, 24, 3, 24, -12, 0, 0, -8, 16, 8, -2, 0, 0, 8, 2, -16, -4, 8, 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