# Stored data for newform 1274.2.a.d, downloaded from the LMFDB on 24 April 2024.
{"label": "1274.2.a.d", "space_label": "1274.2.a", "level": 1274, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915667194, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 669984021945573643, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [1, 1]], [5, [-3, 1]], [11, [-6, 1]], [17, [-3, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5096, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 10.172941217511122, "hecke_ring_index": 1, "level_radical": 182, "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": {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [1274, 1, [885, 197], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "0.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.057", "prec": 17}, {"__RealLiteral__": 0, "data": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.123", "prec": 17}, {"__RealLiteral__": 0, "data": "4.762", "prec": 17}], "related_objects": ["EllipticCurve/Q/1274/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, -1], [13, 1]], "trace_display": [-1, -1, 3, 0], "traces": [0, 1, -1, -1, 1, 3, 1, 0, -1, -2, -3, 6, -1, -1, 0, -3, 1, 3, 2, -2, 3, 0, -6, 0, 1, 4, 1, 5, 0, 6, 3, 4, -1, -6, -3, 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