Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-24T08:52:35.888674

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	116644
analytic_conductor	double precision	232.85175733425572
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[11, 1], [241, -1]]
atkin_lehner_string	text	'+-'
char_conductor	integer	1
char_degree	integer	1
char_is_minimal	boolean	True
char_is_real	boolean	True
char_orbit_index	smallint	1
char_orbit_label	text	'a'
char_order	integer	1
char_parity	smallint	1
char_values	jsonb	[29161, 1, [28921, 1453], [14, 14]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	100
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]
field_poly_is_cyclotomic	boolean
field_poly_is_real_cyclotomic	boolean
field_poly_root_of_unity	integer
fricke_eigenval	smallint	-1
has_non_self_twist	smallint	-1
hecke_cutters	jsonb
hecke_orbit	integer	14
hecke_orbit_code	bigint	58546795189400041
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
inner_twist_count	integer	-1
inner_twists	integer[]
is_cm	boolean	False
is_largest	boolean	False
is_maximal	boolean	False
is_polredabs	boolean
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean
label	text	'29161.2.a.n'
level	integer	29161
level_is_powerful	boolean
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean
level_is_square	boolean	False
level_is_squarefree	boolean	False
level_primes	integer[]	[11, 241]
level_radical	integer	2651
minimal_twist	text
nf_label	text
prim_orbit_index	smallint	1
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text
related_objects	text[]	[]
relative_dim	integer	100
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'29161.2.a'
trace_display	numeric[]	[10, -1, -1, 18]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[100, 10, -1, 100, -1, 16, 18, 30, 99, 8, 0, 2, 10, -6, -13, 96, 16, 30, 20, -16, 20, 0, 11, 48, 97,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 324, 'analytic_conductor': 0.16169706409309278, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 12, 'artin_field': [4, 12, 9, -2, -3, 0, 1], 'artin_field_label': '6.0.314928.2', 'artin_image': '12.4', 'char_conductor': 4, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [324, 2, [163, 245], [1, 2]], 'cm_discs': [-4], 'conrey_index': 163, 'dim': 1, 'embedded_related_objects': [['ArtinRepresentation/2.2e2_3e4.6t3.1c1']], 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 206175207748, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 43713, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '324.1.d.a', 'level': 324, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '324.1.d.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 2, 'projective_field': [-4, -3, 0, 1], 'projective_field_label': '3.1.324.1', 'projective_image': 'D3', 'projective_image_type': 'Dn', 'qexp_display': 'q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-q^{13}+\\cdots', 'related_objects': ['ArtinRepresentation/2.2e2_3e4.6t3.1'], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '324.1.d', 'trace_display': [-1, 0, 1, 0], 'trace_hash': 1359538995559063019, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.012', 'prec': 7}, {'__RealLiteral__': 0, 'data': '0.969', 'prec': 10}, {'__RealLiteral__': 0, 'data': '-0.058', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.860', 'prec': 14}, {'__RealLiteral__': 0, 'data': '-0.245', 'prec': 10}, {'__RealLiteral__': 0, 'data': '10.424', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.504', 'prec': 10}, 'traces': [1, -1, 0, 1, 1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, -1, 0, 0, -1, -2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -2, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, -2, 0, 0, 1, 0, 2, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1, 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