Database - lfunc_search

Formats: - HTML - YAML - JSON - 2026-10-22T20:52:52.819832

Query: /api/lfunc_search/?_offset=0

Table lfunc_search

L-function search data

Column	Type	Example
algebraic	boolean	True
analytic_conductor	double precision	55.080807314279234
bad_primes	bigint[]	[2, 3449]
central_character	text	'1.1'
conductor	numeric	6898
conductor_radical	bigint	6898
degree	smallint	2
dirichlet_coefficients	numeric[]
euler11	numeric[]
euler13	numeric[]
euler17	numeric[]
euler19	numeric[]
euler2	numeric[]
euler23	numeric[]
euler29	numeric[]
euler3	numeric[]
euler31	numeric[]
euler37	numeric[]
euler41	numeric[]
euler43	numeric[]
euler47	numeric[]
euler5	numeric[]
euler53	numeric[]
euler59	numeric[]
euler61	numeric[]
euler67	numeric[]
euler7	numeric[]
euler71	numeric[]
euler73	numeric[]
euler79	numeric[]
euler83	numeric[]
euler89	numeric[]
euler97	numeric[]
euler_factors	numeric[]
index	smallint	3
instance_types	text[]	['CMF']
instance_urls	text[]	['ModularForm/GL2/Q/holomorphic/6898/2/a/d/1/18']
is_instance_Artin	boolean	False
is_instance_BMF	boolean	False
is_instance_CMF	boolean	True
is_instance_DIR	boolean	False
is_instance_ECNF	boolean	False
is_instance_ECQ	boolean	False
is_instance_G2Q	boolean	False
is_instance_HMF	boolean	False
is_instance_MaassGL3	boolean	False
is_instance_MaassGL4	boolean	False
is_instance_MaassGSp4	boolean	False
is_instance_NF	boolean	False
label	text	'2-6898-1.1-c1-0-3'
motivic_weight	smallint	1
mu_imag	numeric[]	[]
mu_real	smallint[]	[]
nu_imag	numeric[]	[0.0]
nu_real_doubled	smallint[]	[1]
order_of_vanishing	smallint	0
prelabel	text	'2-6898-1.1-c1-0'
primitive	boolean	True
rational	boolean	False
root_analytic_conductor	double precision	7.4216445154884125
root_angle	double precision	0.0
self_dual	boolean	True
spectral_label	text	'c1-0'
trace_hash	bigint
z1	numeric	0.10259710885728272006008824593

{'algebraic': True, 'analytic_conductor': 8.821110089713937, 'bad_primes': [5, 11], 'central_character': '1.1', 'conductor': 55, 'conductor_radical': 55, 'degree': 2, 'id': 10762885, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/55/6/a/b/1/4'], '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': '2-55-1.1-c5-0-17', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-55-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.970035368428116, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '3.18377717240491839984000138461', 'prec': 100}}