Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T05:33:35.290494

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	43704
analytic_conductor	double precision	87.24454924845095
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], [607, -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	[10926, 1, [9713, 2431], [15, 15]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	18
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]	[3194, 5588, -64577, 91385, 53734, -175523, 27339, 128116, -48636, -47921, 23002, 10108, -5276, -121...
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	-1
hecke_cutters	jsonb
hecke_orbit	integer	15
hecke_orbit_code	bigint	63050394816752302
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	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
label	text	'10926.2.a.o'
level	integer	10926
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[]	[2, 3, 607]
level_radical	integer	3642
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	18
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'10926.2.a'
trace_display	numeric[]	[18, 0, 1, 9]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[18, 18, 0, 18, 1, 0, 9, 18, 0, 1, 0, 0, 5, 9, 0, 18, -8, 0, 18, 1, 0, 0, 25, 0, 39, 5, 0, 9, -4, 0,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, -1], [11, -1]], 'atkin_lehner_string': '++--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 40, 'field_disc_factorization': [[2, 3], [5, 1]], 'field_poly': [-10, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-10, 0, 1]], [13, [2, 1]], [17, [6, -8, 1]], [19, [-6, 4, 1]], [23, [-40, 0, 1]], [29, [4, 1]]], 'hecke_orbit': 66, 'hecke_orbit_code': 292733975812646374, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 277348, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9702.2.a.cn', 'level': 9702, '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, 11], 'level_radical': 462, 'minimal_twist': '1386.2.a.n', 'nf_label': '2.2.40.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+\\beta q^{5}-q^{8}-\\beta q^{10}+q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [-2, 0, 0, 0], 'trace_hash': 926638641533128265, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '2.037', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '10.205', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '72.396', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 7}, 'traces': [2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -4, 0, 0, 2, 8, 0, -4, 0, 0, -2, 0, 0, 10, 4, 0, 0, -8, 0, -12, -2, 0, -8, 0, 0, 4, 4, 0, 0, -8, 0, 0, 2, 0, 0, 4, 0, 0, -10, 0, -4, 4, 0, 0, 0, 0, 8, -16, 0, -20, 12, 0, 2, 0, 0, -4, 8, 0, 0, 16, 0, -8, -4, 0, -4, 0, 0, 4, 0, 0, 8, -4, 0, -20, 0, 0, -2, 20, 0, 0, 0, 0, -4, 20, 0, -4, 0, 0, 10, -12, 0, 4, 4, 0, -4, 16, 0, -16, 0, 0, 0, -4, 0, -40, -8, 0, 16, 0, 0, 2, 20, 0, -12, 0, 0, 4, -2, 0, 0, 4, 0, 0, 4, 0, -8, 36, 0, -4, 0, 0, -16, -4, 0, 0, 8, 0, 4, -4, 0, 16, 4, 0, 0, 20, 0, -8, -4, 0, 0, 0, 0, -8, -8, 0, 4, 0, 0, -18, 20, 0, 0, -12, 0, 0, 2, 0, -20, 20, 0, -16, 0, 0, 0, -40, 0, 8, 4, 0, -20, 24, 0, -4, 4, 0, 0, -48, 0, -20, -10, 0, 12, 0, 0, 20, -4, 0, -4, -4, 0, -24, 4, 0, -16, 40, 0, 0, 16, 0, 0, -16, 0, 4, 0, 0, 4, -4, 0, 32, 40, 0, 8, -12, 0, -60, -16, 0, 0, 0, 0, -8, -2, 0, -20, 0, 0, 8, 12, 0, 0, -40, 0, 0, -4, 0, 2, 28, 0, 0, 0, 0, -4, -12, 0, 40, 0, 0, -4, 16, 0, 0, 8, 0, -36, 10, 0, -48, 4, 0, 0, -20, 0, 12, 16, 0, 4, 0, 0, 18, 0, 0, -8, 12, 0, -40, -4, 0, 4, 0, 0, 0, -16, 0, -4, 0, 0, 36, 0, 0, -20, -28, 0, -28, 8, 0, 4, 12, 0, -8, 0, 0, 0, -36, 0, -20, 8, 0, 8, 0, 0, 20, -4, 0, 0, -40, 0, -52, 18, 0, -20, -12, 0, 0, 0, 0, 12, 16, 0, 20, 0, 0, -2, 28, 0, 0, 20, 0, -20, -20, 0, -10, 16, 0, 0, -60, 0, -4, 0, 0, 40, 0, 0, -20, -8, 0, -4, 16, 0, 24, 20, 0, -24, -12, 0, 0, 4, 0, -4, -12, 0, 40, 0, 0, 48, 40, 0, -24, 20, 0, 10, 4, 0, 24, -12, 0, 0, 4, 0, -48, -20, 0, 4, 0, 0, 20, 4, 0, 4, -8, 0, -4, 24, 0, -4, 40, 0, 0, 16, 0, -40, -20, 0, 68, 0, 0, -16, -40, 0, 0, 0, 0, 16, 4, 0, -40, -4, 0, 0, 12, 0, -8, -4, 0, 4, 0, 0, 60, -32, 0, -40, 4, 0, -32, -8, 0, 12, 16, 0, 0, 60, 0, 16, 0, 0, -20, 0, 0, 0, 8, 0, -8, 8, 0, 2, -80, 0, -16, 20, 0, 0, 8, 0, -32, -8, 0, -12, 0, 0, 4, 0, 0, 40, -48, 0, 0, 0, 0, 4, 48, 0, 0, -2, 0, -28, 100, 0, 4, 0, 0, 0, 28, 0, -36, 4, 0, 12, -68, 0, 34, -40, 0, 0, 16, 0, -40, 4, 0, -16, 0, 0, 12, 0, 0, -8, 0, 0, -32, 36, 0, -10, 16, 0, 0, 48, 0, -4, 16, 0, 0, 0, 0, 20, -4, 0, 0, -12, 0, -16, -28, 0, 0, -4, 0, 0, 0, 0, -44, -18, 0, 0, 0, 0, 4, 8, 0, -12, -24, 0, 44, 40, 0, 4, 24, 0, 0, -4, 0, 0, -24, 0, -32, 0, 0, 16, 0, 0, 16, 4, 0, 0, -8, 0, -12, -36, 0, 0, -16, 0, -72, 20, 0, 28, 0, 0, -50, 28, 0, -8, 56, 0, 8, -4, 0, -12, -120, 0, 0, 8, 0, 0, 0, 0, -32, 0, 0, 36, -12, 0, -16, 20, 0, -8, 36, 0, -20, -8, 0, 0, -8, 0, 0, -20, 0, 4, 0, 0, 0, 0, 0, 40, -20, 0, -36, 52, 0, -18, -4, 0, 0, 20, 0, 12, 12, 0, 0, 0, 0, 0, -8, 0, -24, -12, 0, -16, -60, 0, -52, -20, 0, 0, 36, 0, -48, 2, 0, -28, 0, 0, 68, 0, 0, -20, -40, 0, 0, 20, 0, 20, 52, 0, 0, 10, 0, -16, -40, 0, 36, 0, 0, 60, -40, 0, -36, 4, 0, 0, -4, 0, 32, -40, 0, 0, -32, 0, 0, 20, 0, 8, 0, 0, 24, 4, 0, -16, -80, 0, -4, -24, 0, -20, 0, 0, 0, 24, 0, 12, 32, 0, -32, 0, 0, -4, -56, 0, -60, 4, 0, 12, 36, 0, 16, -40, 0, 0, -60, 0, 44, 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