Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 50.86470608755563, 'bad_primes': [2, 5, 7, 13], 'central_character': '1.1', 'conductor': 6370, 'conductor_radical': 910, 'degree': 2, 'dirichlet_coefficients': [1, -1, 2, 1, -1, -2, 0, -1, 1, 1, -6, 2, -1, 0, -2, 1, 6, -1, -2, -1, 0, 6, 6, -2, 1, 1, -4, 0, -6, 2, -2, -1, -12, -6, 0, 1, 2, 2, -2, 1, 6, 0, 2, -6, -1, -6, 12, 2, 0, -1, 12, -1, 6, 4, 6, 0, -4, 6, -6, -2, -2, 2, 0, 1, 1, 12, -4, 6, 12, 0, -6, -1, 10, -2, 2, -2, 0, 2, -4, -1, -11, -6, 0, 0, -6, -2, -12, 6, 6, 1, 0, 6, -4, -12, 2, -2, -2, 0, -6, 1], 'euler11': [1, 6, 11], 'euler13': [1, 1, 0], 'euler17': [1, -6, 17], 'euler19': [1, 2, 19], 'euler2': [1, 1, 0], 'euler23': [1, -6, 23], 'euler29': [1, 6, 29], 'euler3': [1, -2, 3], 'euler31': [1, 2, 31], 'euler37': [1, -2, 37], 'euler41': [1, -6, 41], 'euler43': [1, -2, 43], 'euler47': [1, -12, 47], 'euler5': [1, 1, 0], 'euler53': [1, -6, 53], 'euler59': [1, 6, 59], 'euler61': [1, 2, 61], 'euler67': [1, 4, 67], 'euler7': [1, 0, 0], 'euler71': [1, 6, 71], 'euler73': [1, -10, 73], 'euler79': [1, 4, 79], 'euler83': [1, 0, 83], 'euler89': [1, -6, 89], 'euler97': [1, 2, 97], 'euler_factors': [[1, 1, 0], [1, -2, 3], [1, 1, 0], [1, 0, 0], [1, 6, 11], [1, 1, 0], [1, -6, 17], [1, 2, 19], [1, -6, 23], [1, 6, 29], [1, 2, 31], [1, -2, 37], [1, -6, 41], [1, -2, 43], [1, -12, 47], [1, -6, 53], [1, 6, 59], [1, 2, 61], [1, 4, 67], [1, 6, 71], [1, -10, 73], [1, 4, 79], [1, 0, 83], [1, -6, 89], [1, 2, 97]], 'id': 21507665, 'index': 25, 'instance_types': ['ECQ', 'CMF', 'CMF'], 'instance_urls': ['EllipticCurve/Q/6370/h', 'ModularForm/GL2/Q/holomorphic/6370/2/a/h/1/1', 'ModularForm/GL2/Q/holomorphic/6370/2/a/h'], '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': '2-6370-1.1-c1-0-25', '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': '2-6370-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 7.131949669449136, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 973144413038571613, 'z1': {'__RealLiteral__': 0, 'data': '0.64394251803466591925986785147', 'prec': 103}}