Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-25T11:03:12.102824

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	21760
analytic_conductor	double precision	43.43861869957653
analytic_rank	smallint	0
analytic_rank_proved	boolean	True
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[2, 1], [5, 1], [17, -1]]
atkin_lehner_string	text	'++-'
char_conductor	integer	1
char_degree	integer	1
char_is_minimal	boolean	False
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	[5440, 1, [511, 4421, 2177, 1601], [1, 1, 1, 1]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	3
embedded_related_objects	text[]
field_disc	numeric	404
field_disc_factorization	numeric[]	[[2, 2], [101, 1]]
field_poly	numeric[]	[-1, -5, -1, 1]
field_poly_is_cyclotomic	boolean	False
field_poly_is_real_cyclotomic	boolean	False
field_poly_root_of_unity	integer	0
fricke_eigenval	smallint	-1
has_non_self_twist	smallint	0
hecke_cutters	jsonb	[[3, [-4, -8, 0, 1]], [7, [4, -8, 0, 1]], [11, [4, -16, 2, 1]], [13, [-72, -28, 2, 1]], [19, [32, -3...
hecke_orbit	integer	43
hecke_orbit_code	bigint	189151184383120704
hecke_ring_generator_nbound	integer	3
hecke_ring_index	numeric	2
hecke_ring_index_factorization	numeric[]	[[2, 1]]
hecke_ring_index_proved	boolean	True
inner_twist_count	integer	1
inner_twists	integer[]	[[1, 1, 1, 1, 1, 1, 1]]
is_cm	boolean	False
is_largest	boolean	False
is_maximal	boolean	False
is_polredabs	boolean	True
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean	False
label	text	'5440.2.a.bq'
level	integer	5440
level_is_powerful	boolean	False
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	False
level_primes	integer[]	[2, 5, 17]
level_radical	integer	170
minimal_twist	text	'340.2.a.b'
nf_label	text	'3.3.404.1'
prim_orbit_index	smallint	1
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text	'q+\\beta _{2}q^{3}-q^{5}-\\beta _{2}q^{7}+(2-\\beta _{1}+\\beta _{2})q^{9}+\\cdots'
related_objects	text[]	[]
relative_dim	integer	3
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'5440.2.a'
trace_display	numeric[]	[0, 0, -3, 0]
trace_hash	bigint	545212484332680666
trace_moments	numeric[]	[0.041, 2.841, 0.495, 20.891, 12.242, 230.503]
trace_zratio	numeric	0.009
traces	numeric[]	[3, 0, 0, 0, -3, 0, 0, 0, 7, 0, -2, 0, -2, 0, 0, 0, 3, 0, 0, 0, -16, 0, 8, 0, 3, 0, 12, 0, 2, 0, 10,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 5632, 'analytic_conductor': 11.242936604596277, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 88, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1408, 2, [639, 133, 1025], [1, 1, 1]], 'cm_discs': [-8], 'conrey_index': 703, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-8, 0, 1]], [7, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007611605157248, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'id': 117078, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 11, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 44, 3, 1, 2, 0], [1, 1, 88, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 88, 7, 1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '1408.2.g.c', 'level': 1408, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11], 'level_radical': 22, 'minimal_twist': '1408.2.g.c', 'nf_label': '4.0.256.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-\\beta_{2}-\\beta_1)q^{3}+5 q^{9}+(-2\\beta_{2}+\\beta_1)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '1408.2.g', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1468679884668525630, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.659', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '168.154', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '8704.426', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.882', 'prec': 10}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 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