Formats: - HTML - YAML - JSON - 2026-03-10T21:42:15.141885
Query: /api/lfunc_search/?_offset=0
Show schema

{'algebraic': True, 'analytic_conductor': 14.160458401377754, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 240, 'conductor_radical': 30, 'degree': 2, 'dirichlet_coefficients': [1, 0, 3, 0, -5, 0, -20, 0, 9, 0, 24, 0, 74, 0, -15, 0, 54, 0, 124, 0, -60, 0, 120, 0, 25, 0, 27, 0, -78, 0, -200, 0, 72, 0, 100, 0, -70, 0, 222, 0, 330, 0, -92, 0, -45, 0, 24, 0, 57, 0, 162, 0, 450, 0, -120, 0, 372, 0, -24, 0, -322, 0, -180, 0, -370, 0, 196, 0, 360, 0, 288, 0, -430, 0, 75, 0, -480, 0, 520, 0, 81, 0, -156, 0, -270, 0, -234, 0, 1026, 0, -1480, 0, -600, 0, -620, 0, -286, 0, 216, 0], 'euler11': [1, -24, 1331], 'euler13': [1, -74, 2197], 'euler17': [1, -54, 4913], 'euler19': [1, -124, 6859], 'euler2': [1, 0, 0], 'euler23': [1, -120, 12167], 'euler29': [1, 78, 24389], 'euler3': [1, -3, 0], 'euler31': [1, 200, 29791], 'euler37': [1, 70, 50653], 'euler41': [1, -330, 68921], 'euler43': [1, 92, 79507], 'euler47': [1, -24, 103823], 'euler5': [1, 5, 0], 'euler53': [1, -450, 148877], 'euler59': [1, 24, 205379], 'euler61': [1, 322, 226981], 'euler67': [1, -196, 300763], 'euler7': [1, 20, 343], 'euler71': [1, -288, 357911], 'euler73': [1, 430, 389017], 'euler79': [1, -520, 493039], 'euler83': [1, 156, 571787], 'euler89': [1, -1026, 704969], 'euler97': [1, 286, 912673], 'euler_factors': [[1, 0, 0], [1, -3, 0], [1, 5, 0], [1, 20, 343], [1, -24, 1331], [1, -74, 2197], [1, -54, 4913], [1, -124, 6859], [1, -120, 12167], [1, 78, 24389], [1, 200, 29791], [1, 70, 50653], [1, -330, 68921], [1, 92, 79507], [1, -24, 103823], [1, -450, 148877], [1, 24, 205379], [1, 322, 226981], [1, -196, 300763], [1, -288, 357911], [1, 430, 389017], [1, -520, 493039], [1, 156, 571787], [1, -1026, 704969], [1, 286, 912673]], 'id': 18278980, 'index': 3, 'instance_types': ['CMF', 'CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/240/4/a/f/1/1', 'ModularForm/GL2/Q/holomorphic/240/4/a/f'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, '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': '2-240-1.1-c3-0-3', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-240-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 3.7630384533482717, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'trace_hash': 472721713709646299, 'z1': {'__RealLiteral__': 0, 'data': '1.11021679759684095895145142700', 'prec': 103}}