# Stored data for newform 1150.2.a.d, downloaded from the LMFDB on 28 April 2025.
{"Nk2": 4600, "analytic_conductor": 9.182796232447243, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, 1], [23, -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": [1150, 1, [277, 51], [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": [[3, [-3, 1]], [7, [-4, 1]], [11, [-3, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510798915667070, "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": true, "label": "1150.2.a.d", "level": 1150, "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": [2, 5, 23], "level_radical": 230, "minimal_twist": "1150.2.a.d", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+3q^{3}+q^{4}-3q^{6}+4q^{7}-q^{8}+\\cdots", "related_objects": ["EllipticCurve/Q/1150/d"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1150.2.a", "trace_display": [-1, 3, 0, 4], "trace_hash": 956436491895768936, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.041", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, "traces": [0, 1, -1, 3, 1, 0, -3, 4, -1, 6, 0, 3, 3, -6, -4, 0, 1, 5, -6, -1, 0, 12, -3, 1, -3, 0, 6, 9, 4, -8, 0, -8, -1, 9, -5, 0, 6, 2, 1, -18, 0, -7, -12, 4, 3, 0, -1, 10, 3, 9, 0, 15, -6, -12, -9, 0, -4, -3, 8, 4, 0, -8, 8, 24, 1, 0, -9, 3, 5, 3, 0, 4, -6, -7, -2, 0, -1, 12, 18, -6, 0, 9, 7, 11, 12, 0, -4, -24, -3, -3, 0, -24, 1, -24, -10, 0, -3, -14, -9, 18, 0, 4, -15, 10, 6, 0, 12, 5, 9, -10, 0, 6, 4, 15, 3, 0, -8, -36, -4, 20, 0, -2, 8, -21, -8, 0, -24, -8, -1, 12, 0, 12, 9, -4, -3, 0, -5, -3, -3, -19, 0, 30, -4, -18, 6, 0, 7, 27, 2, 6, 0, 20, 1, 30, -12, 0, -18, 14, 6, -36, 0, 4, -9, 5, -7, 0, -11, 22, -12, 23, 0, -6, 4, 4, 24, 0, 3, 12, 3, -3, 0, -22, 24, -24, -1, 0, 24, 15, 10, 36, 0, 12, 3, -9, 14, 0, 9, -8, -18, 18, 0, 9, -4, -32, 15, 0, -10, 6, 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