Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-24T10:49:02.730792

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	117480
analytic_conductor	double precision	234.5206307365005
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[2, -1], [3, -1], [5, 1], [11, 1], [89, -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	[29370, 1, [9791, 23497, 18691, 13531], [77, 77, 77, 77]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	13
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]	[-272, -584, 17992, -51022, 11761, 47740, -4600, -13256, 303, 1431, -6, -64, 0, 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
hecke_orbit	integer	77
hecke_orbit_code	bigint	342273571713741498
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[]	[[1, 1, 1, 1, 1, 1, 1]]
is_cm	boolean	False
is_largest	boolean	True
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	True
label	text	'29370.2.a.cy'
level	integer	29370
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	True
level_primes	integer[]	[2, 3, 5, 11, 89]
level_radical	integer	29370
minimal_twist	text	'29370.2.a.cy'
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	13
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'29370.2.a'
trace_display	numeric[]	[13, 13, -13, 0]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[13, 13, 13, 13, -13, 13, 0, 13, 13, -13, -13, 13, 1, 0, -13, 13, -21, 13, -9, -13, 0, -13, -11, 13,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 2400, 'analytic_conductor': 4.791024121276823, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 120, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 4, 'char_parity': 1, 'char_values': [600, 4, [151, 301, 401, 577], [4, 2, 2, 3]], 'cm_discs': [-24], 'conrey_index': 293, 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [100, 40, 8, -4, 1]], [11, [10, -8, 1]], [17, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505111489413720, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 68434, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 24, 8, -1, 2, -24], [1, 1, 5, 3, -1, 4, 0], [1, 1, 120, 23, 1, 4, 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': False, 'label': '600.2.w.b', 'level': 600, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '120.2.w.a', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 23, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}+\\beta _{1}q^{3}-2\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.1.d4', 'self_twist_discs': [-24], 'self_twist_type': 1, 'space_label': '600.2.w', 'trace_display': [-4, 0, 0, 4], 'trace_hash': 1540906290467380984, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.853', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '97.437', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '3323.856', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.713', 'prec': 10}, 'traces': [4, -4, 0, 0, 0, 0, 4, 8, 0, 0, 16, 0, 0, 0, 0, -16, 0, -12, 0, 0, -24, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 16, 12, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 12, 0, 0, -24, 0, 0, 0, 0, 0, -24, -28, 0, 0, 0, -8, 0, 0, 0, -36, 0, 16, 0, 0, 0, -36, 32, 0, 0, 0, 0, -24, 0, 0, 0, 4, 28, 0, 0, 56, 0, -28, 0, 0, 0, 32, 0, 0, 0, 0, -16, 0, 0, 0, 16, 0, 32, 0, 0, 44, 0, 0, 0, 0, -24, 44, -32, 0, 0, -64, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, -48, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -32, 0, -48, 0, 0, 0, 0, 56, 0, 0, -64, -36, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 52, 0, 0, -56, 0, -48, 0, 0, 0, -56, -64, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -72, -16, 0, 0, 0, -64, 72, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 16, 24, 0, 0, 0, 64, 0, 0, 0, 0, -24, 64, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 96, -56, 0, 0, 0, 0, -36, -8, 0, 0, 0, -8, 12, 0, 0, 0, 0, 16, 0, 0, 0, 0, -68, 0, 0, 0, -88, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 96, 44, -52, 0, 0, -48, 0, -96, 0, 0, -112, 0, 72, 0, 0, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, -76, 0, 96, 0, 0, 0, -76, 0, 0, 0, -48, -48, 0, 0, 0, 0, 0, 72, 0, 0, -24, 0, 0, 0, 0, -104, 0, -8, 0, 0, 0, 56, 12, 0, 0, 96, 0, 56, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -56, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, -28, 0, 0, 0, 0, -48, 0, 0, 84, 0, 0, 0, 0, -104, 84, 32, 0, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 56, 72, 52, 0, 0, 0, 112, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -88, 0, 0, -152, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -48, 0, 0, 96, 0, 0, 0, 0, 0, 84, -88, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -96, -76, 68, 0, 0, 32, -96, 24, 0, 0, 0, -128, 96, 0, 0, 168, 0, 0, 0, 0, 16, 0, 0, 0, 0, 8, 0, 0, 0, 0, -24, 44, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 72, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, -48, 0, 136, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, -68, 0, 0, 104, -8, 0, 0, 0, -72, 48, 16, 0, 0, 192, 0, 0, 0, 0, 0, 112, -24, 0, 0, -144, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 32, 72, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 88, 76, -144, 0, 0, -192, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -108, 0, 0, -144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 56, 0, 0, 16, 0, -88, 0, 0, 0, 0, -108, 0, 0, -24, 0, 0, 0, 0, 0, -96, 0, 0, 0, -112, 152, 0, 0, 0, 0, 0, -64, 0, 0, 0, -36, 112, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 92, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 112, 0, 0, -116, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, -96, 0, 0, 0, 0, 12, 0, 0, 96, 0, 136, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, -144, 104, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -88, 0, 0, 0, 0, -56, 0, 0, 0, -104, 84, 32, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, -28, 0, 96, 0, 0, 0, 124, 88, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}