Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T09:35:29.827170

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	116164
analytic_conductor	double precision	231.89355251000038
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[113, -1], [257, 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	[29041, 1, [2828, 26217], [3, 3]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	609
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	0
hecke_cutters	jsonb
hecke_orbit	integer	3
hecke_orbit_code	bigint	9007199288324465
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	True
is_polredabs	boolean
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean	True
label	text	'29041.2.a.c'
level	integer	29041
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[]	[113, 257]
level_radical	integer	29041
minimal_twist	text	'29041.2.a.c'
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	609
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'29041.2.a'
trace_display	numeric[]	[26, 29, 31, 20]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[609, 26, 29, 632, 31, 30, 20, 78, 654, 30, 124, 63, 26, 91, 110, 670, 78, 66, 57, 81, 86, 54, 213, ...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 672, 'analytic_conductor': 1.3414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 24, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 2, 'char_parity': 1, 'char_values': [168, 2, [127, 85, 113, 73], [1, 1, 1, 2]], 'cm_discs': [], 'conrey_index': 155, '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': [[5, [-8, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504218136215720, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 26647, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 24, 6, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '168.2.j.b', 'level': 168, '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, 7], 'level_radical': 42, 'minimal_twist': '168.2.j.b', 'nf_label': '4.0.256.1', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta_{3} q^{2}+(-\\beta_{2}+1)q^{3}+2 q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '168.2.j', 'trace_display': [0, 4, 0, 0], 'trace_hash': 474096152041689470, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 4}, {'__RealLiteral__': 0, 'data': '3.751', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '120.487', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '4794.124', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.758', 'prec': 10}, 'traces': [4, 0, 4, 8, 0, 0, 0, 0, -4, -16, 0, 8, 0, 0, 0, 16, 0, 0, -8, 0, 0, 0, 0, 0, 12, 0, -20, 0, 0, -16, 0, 0, 32, 0, 0, -8, 0, 0, 0, -32, 0, -8, -40, 0, 0, -16, 0, 16, -4, 0, -16, 0, 0, 0, 0, 0, -8, 32, 0, 0, 0, 0, 0, 32, 0, 0, 24, 0, 0, 0, 0, 0, 40, 0, 12, -16, 0, 32, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, -8, 0, 64, 24, 0, 0, 0, 0, 16, -32, 0, -40, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, -32, -84, 0, -16, 0, 0, -16, 0, 0, -40, 0, 0, 64, 0, 0, 0, 0, 0, -16, 56, 0, 0, 48, 0, -16, -64, 0, -4, 0, 0, 0, 0, 0, -32, 32, 0, 0, 0, 0, 0, -64, 0, 0, -56, 0, 0, 0, 0, -16, -12, 0, 8, -80, 0, 32, 0, 0, 48, 0, 0, 0, 0, 0, 0, -32, 0, 0, 64, 0, 0, 32, 0, 32, 72, 0, -64, -8, 0, 0, 0, 0, 24, 16, 0, -32, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, -64, 0, 0, -12, 0, 0, -16, 0, 0, 0, 64, 0, 64, 0, 0, 0, -16, 0, 0, 8, 0, 4, 0, 0, 0, 0, 0, -16, 32, 0, 0, 0, 0, 0, 64, 0, 0, -32, 0, 0, 0, 0, 0, 64, 0, 16, 48, 0, 80, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, -128, 0, 0, 36, 0, -8, 80, 0, 0, 0, 0, 32, -32, 0, 24, 0, 0, 0, -32, 0, 0, 72, 0, 0, 0, 0, 64, 24, 0, 32, 0, 0, -32, 0, 0, -64, 0, 0, -56, 0, 0, 0, 0, 0, -128, -24, 0, 0, 32, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, 32, -144, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 32, -60, 0, -84, 32, 0, -96, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, -8, 24, 0, 0, -48, 0, 0, -64, 0, 40, -16, 0, 0, 0, 0, 80, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, -32, 0, 0, 16, 0, 0, 56, 0, 0, 32, 0, 0, 0, -64, 0, 48, -48, 0, 0, 160, 0, -80, 120, 0, -64, 0, 0, 0, 0, 0, 4, 64, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 40, 0, -16, 64, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, -24, 0, 0, -112, 0, -64, 128, 0, 16, -168, 0, 0, 0, 0, -56, 16, 0, -32, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, -32, -32, 0, -12, 0, 0, 64, 0, 0, 40, 0, 0, -80, 0, 0, 0, 0, 0, -32, -88, 0, 0, 112, 0, 128, -60, 0, 96, 0, 0, 0, 0, 0, -64, -16, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -32, 32, 0, 128, 112, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 96, 0, 32, -24, 0, 0, -16, 0, -32, -136, 0, 72, -128, 0, 0, 0, 0, -128, 112, 0, -8, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 104, 0, -24, 0, 0, 16, 0, 0, -32, 0, 0, -64, 0, 0, 0, 64, 0, 64, 88, 0, 0, -64, 0, 0, -124, 0, -64, 0, 0, 0, 0, 0, -40, 96, 0, 0, 0, 0, 0, -128, 0, 0, 88, 0, 0, 0, 0, 0, -192, 0, 0, -112, 0, -64, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -128, -64, 0, 0, -96, 0, -32, -136, 0, -60, -24, 0, 0, 0, 0, -16, 0, 0, 16, 0, 0, 0, -160, 0, 0, 24, 0, 0, 0, 0, 64, -32, 0, 32, 0, 0, 32, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -16, 256, 0, 0, 16, 0, 0, 32, 0, 8, 0, 0, 0, 0, 0, 92, -160, 0, 0, 0, 0, 0, -64, 0, 0, 184, 0, 0, 0, 0, 0, 64, 0, -32, 128, 0, 32, 0, 0, 48, 0, 0, 0, 0, 0, 0, 64, 0, 0, -32, 0, 0, 160, 0, 64, -184, 0, -16, 144, 0, 0, 0, 0, -32, 32, 0, -128, 0, 0, 0, -16, 0, 0, -168, 0, 0, 0, 0, 0, 192, 0, 64, 0, 0, 16, 0, 0, 32, 0, 0, 48, 0, 0, 0, 32, 0, 112, -152, 0, 0, 256, 0, -64, 80, 0, -16, 0, 0, 0, 0, 0, 96, 48, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 12, 0, -32, -80, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, -128, 40, 0, 0, -176, 0, 0, 288, 0, 36, 0, 0, 0, 0, 0, 8, 32, 0, 80, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, -128, 0, 0, -128, 0, 0, -32, 0, 0, -64, 0, 0, -24, 0, 0, 0, 0, 0, 128, -136, 0, 0, -64, 0, -32, 64, 0, 192, 0, 0, 0, 0, 0, 72, -208, 0, 0, 0, 0, 0, 128, 0, 0, 8, 0, 0, 0, 0, 128, 24, 0, 24, 0, 0, 96, 0, 0, 16, 0, 0, 0, 0, 0, 0, -32, 0, 32, 96, 0, 0, -64, 0, 0, 124, 0, -128, 16, 0, 0, 0, 0, 32, 32, 0, 8, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, -24, 0, 0, -32, 0, 0, 0, 64], 'weight': 2, 'weight_parity': 1}