Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 31.708594642650457, 'bad_primes': [11, 19], 'central_character': '1.1', 'conductor': 3971, 'conductor_radical': 209, 'degree': 2, 'dirichlet_coefficients': [1, 0, -1, -2, -3, 0, -4, 0, -2, 0, 1, 2, -2, 0, 3, 4, 0, 0, 0, 6, 4, 0, 3, 0, 4, 0, 5, 8, 6, 0, 7, 0, -1, 0, 12, 4, 7, 0, 2, 0, 0, 0, -10, -2, 6, 0, 0, -4, 9, 0, 0, 4, -6, 0, -3, 0, 0, 0, -3, -6, -10, 0, 8, -8, 6, 0, -11, 0, -3, 0, -15, 0, 8, 0, -4, 0, -4, 0, 16, -12, 1, 0, 0, -8, 0, 0, -6, 0, -9, 0, 8, -6, -7, 0, 0, 0, 1, 0, -2, -8], 'euler11': [1, -1, 0], 'euler13': [1, 2, 13], 'euler17': [1, 0, 17], 'euler19': [1, 0, 0], 'euler2': [1, 0, 2], 'euler23': [1, -3, 23], 'euler29': [1, -6, 29], 'euler3': [1, 1, 3], 'euler31': [1, -7, 31], 'euler37': [1, -7, 37], 'euler41': [1, 0, 41], 'euler43': [1, 10, 43], 'euler47': [1, 0, 47], 'euler5': [1, 3, 5], 'euler53': [1, 6, 53], 'euler59': [1, 3, 59], 'euler61': [1, 10, 61], 'euler67': [1, 11, 67], 'euler7': [1, 4, 7], 'euler71': [1, 15, 71], 'euler73': [1, -8, 73], 'euler79': [1, -16, 79], 'euler83': [1, 0, 83], 'euler89': [1, 9, 89], 'euler97': [1, -1, 97], 'euler_factors': [[1, 0, 2], [1, 1, 3], [1, 3, 5], [1, 4, 7], [1, -1, 0], [1, 2, 13], [1, 0, 17], [1, 0, 0], [1, -3, 23], [1, -6, 29], [1, -7, 31], [1, -7, 37], [1, 0, 41], [1, 10, 43], [1, 0, 47], [1, 6, 53], [1, 3, 59], [1, 10, 61], [1, 11, 67], [1, 15, 71], [1, -8, 73], [1, -16, 79], [1, 0, 83], [1, 9, 89], [1, -1, 97]], 'id': 20186281, 'index': 85, 'instance_types': ['ECQ', 'CMF', 'CMF'], 'instance_urls': ['EllipticCurve/Q/3971/a', 'ModularForm/GL2/Q/holomorphic/3971/2/a/a/1/1', 'ModularForm/GL2/Q/holomorphic/3971/2/a/a'], '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': '2-3971-1.1-c1-0-85', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-3971-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 5.631038504809788, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 242594246614754898, 'z1': {'__RealLiteral__': 0, 'data': '0.77031350601798753266248540374', 'prec': 103}}