Formats: - HTML - YAML - JSON - 2026-03-05T20:18:35.557914
Query: /api/lfunc_search/?_offset=0
Show schema

{'algebraic': True, 'analytic_conductor': 9.222721433457888, 'bad_primes': [3, 5, 7, 11], 'central_character': '1.1', 'conductor': 1155, 'conductor_radical': 1155, 'degree': 2, 'dirichlet_coefficients': [1, -1, -1, -1, 1, 1, -1, 3, 1, -1, 1, 1, -2, 1, -1, -1, -6, -1, -4, -1, 1, -1, 8, -3, 1, 2, -1, 1, 6, 1, 8, -5, -1, 6, -1, -1, 6, 4, 2, 3, -6, -1, -4, -1, 1, -8, -8, 1, 1, -1, 6, 2, -10, 1, 1, -3, 4, -6, -12, 1, -10, -8, -1, 7, -2, 1, -12, 6, -8, 1, -8, 3, -6, -6, -1, 4, -1, -2, 8, -1, 1, 6, -4, -1, -6, 4, -6, 3, 10, -1, 2, -8, -8, 8, -4, 5, -14, -1, 1, -1], 'euler11': [1, -1, 0], 'euler13': [1, 2, 13], 'euler17': [1, 6, 17], 'euler19': [1, 4, 19], 'euler2': [1, 1, 2], 'euler23': [1, -8, 23], 'euler29': [1, -6, 29], 'euler3': [1, 1, 0], 'euler31': [1, -8, 31], 'euler37': [1, -6, 37], 'euler41': [1, 6, 41], 'euler43': [1, 4, 43], 'euler47': [1, 8, 47], 'euler5': [1, -1, 0], 'euler53': [1, 10, 53], 'euler59': [1, 12, 59], 'euler61': [1, 10, 61], 'euler67': [1, 12, 67], 'euler7': [1, 1, 0], 'euler71': [1, 8, 71], 'euler73': [1, 6, 73], 'euler79': [1, -8, 79], 'euler83': [1, 4, 83], 'euler89': [1, -10, 89], 'euler97': [1, 14, 97], 'euler_factors': [[1, 1, 2], [1, 1, 0], [1, -1, 0], [1, 1, 0], [1, -1, 0], [1, 2, 13], [1, 6, 17], [1, 4, 19], [1, -8, 23], [1, -6, 29], [1, -8, 31], [1, -6, 37], [1, 6, 41], [1, 4, 43], [1, 8, 47], [1, 10, 53], [1, 12, 59], [1, 10, 61], [1, 12, 67], [1, 8, 71], [1, 6, 73], [1, -8, 79], [1, 4, 83], [1, -10, 89], [1, 14, 97]], 'id': 20362310, 'index': 24, 'instance_types': ['ECQ', 'CMF', 'CMF'], 'instance_urls': ['EllipticCurve/Q/1155/e', 'ModularForm/GL2/Q/holomorphic/1155/2/a/e/1/1', 'ModularForm/GL2/Q/holomorphic/1155/2/a/e'], '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': '2-1155-1.1-c1-0-24', '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': '2-1155-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 3.036893385263613, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 993314052577958824, 'z1': {'__RealLiteral__': 0, 'data': '1.44103206082241001703888146307', 'prec': 103}}