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{'algebraic': True, 'analytic_conductor': 13.846059710490024, 'bad_primes': [2, 3, 17], 'central_character': '1.1', 'conductor': 1734, 'conductor_radical': 102, 'degree': 2, 'dirichlet_coefficients': [1, 1, -1, 1, 3, -1, 4, 1, 1, 3, -3, -1, 2, 4, -3, 1, 0, 1, 8, 3, -4, -3, -6, -1, 4, 2, -1, 4, -3, -3, 7, 1, 3, 0, 12, 1, -8, 8, -2, 3, -6, -4, -4, -3, 3, -6, -6, -1, 9, 4, 0, 2, -9, -1, -9, 4, -8, -3, 15, -3, -14, 7, 4, 1, 6, 3, 2, 0, 6, 12, 0, 1, 7, -8, -4, 8, -12, -2, 1, 3, 1, -6, 12, -4, 0, -4, 3, -3, 0, 3, 8, -6, -7, -6, 24, -1, 13, 9, -3, 4], 'euler11': [1, 3, 11], 'euler13': [1, -2, 13], 'euler17': [1, 0, 0], 'euler19': [1, -8, 19], 'euler2': [1, -1, 0], 'euler23': [1, 6, 23], 'euler29': [1, 3, 29], 'euler3': [1, 1, 0], 'euler31': [1, -7, 31], 'euler37': [1, 8, 37], 'euler41': [1, 6, 41], 'euler43': [1, 4, 43], 'euler47': [1, 6, 47], 'euler5': [1, -3, 5], 'euler53': [1, 9, 53], 'euler59': [1, -15, 59], 'euler61': [1, 14, 61], 'euler67': [1, -2, 67], 'euler7': [1, -4, 7], 'euler71': [1, 0, 71], 'euler73': [1, -7, 73], 'euler79': [1, -1, 79], 'euler83': [1, -12, 83], 'euler89': [1, 0, 89], 'euler97': [1, -13, 97], 'euler_factors': [[1, -1, 0], [1, 1, 0], [1, -3, 5], [1, -4, 7], [1, 3, 11], [1, -2, 13], [1, 0, 0], [1, -8, 19], [1, 6, 23], [1, 3, 29], [1, -7, 31], [1, 8, 37], [1, 6, 41], [1, 4, 43], [1, 6, 47], [1, 9, 53], [1, -15, 59], [1, 14, 61], [1, -2, 67], [1, 0, 71], [1, -7, 73], [1, -1, 79], [1, -12, 83], [1, 0, 89], [1, -13, 97]], 'id': 20364096, 'index': 26, 'instance_types': ['ECQ', 'CMF', 'CMF'], 'instance_urls': ['EllipticCurve/Q/1734/k', 'ModularForm/GL2/Q/holomorphic/1734/2/a/k/1/1', 'ModularForm/GL2/Q/holomorphic/1734/2/a/k'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': True, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-1734-1.1-c1-0-26', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-1734-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 3.721029388555004, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 905416489013152145, 'z1': {'__RealLiteral__': 0, 'data': '1.39533560657326728163111967124', 'prec': 103}}