# Stored data for newform 370.2.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "370.2.a.b", "space_label": "370.2.a", "level": 370, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925298, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1339416759483634770, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [0, 1]], [7, [0, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1480, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 2.9544648747873743, "hecke_ring_index": 1, "level_radical": 370, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [370, 1, [297, 261], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 37], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.081", "prec": 17}], "related_objects": ["EllipticCurve/Q/370/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [37, 1]], "trace_display": [-1, 0, -1, 0], "traces": [0, 1, -1, 0, 1, -1, 0, 0, -1, -3, 1, -4, 0, 2, 0, 0, 1, -2, 3, -4, -1, 0, 4, 0, 0, 1, -2, 0, 0, -6, 0, -4, -1, 0, 2, 0, -3, -1, 4, 0, 1, -6, 0, 4, -4, 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-4, 0, 24, 56, 0, 0, 2, -36, -16, 32, 0, -4, 0, 0, 6, 24, -3, -20, -24, 0, -14, 2, 0, -20, 20, -18, 0, -36, 0, 0, 18, 0, -18, 0, 0, 20, 0, 0, -10, 0, 0, -1, 40, 0, 6, 18, 0, 28, -22, 0, -28, -8, 6, -14, 0, 0, 8, -42, 0, 0, 4, 0, 16, -4, 0, 20, 4, 0, 0, -6, 30, 12, 12, 0, -28, 0, 0, -15, 2, 24, 2, -14, 0, -8, -5, 0, 6, -12, 0, 0, 16, 0, 10, -50, 0, -8, 7, -54, -20, 24, 0, -2, -12, 0, -8, 0, 12, 20, 4, 0, 0, 20, 0, 10, 20, 0, 1], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "370.2.a.b", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, 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