Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T00:33:58.935389

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	152776
analytic_conductor	double precision	304.9806254800783
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], [13, 1], [113, 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	[38194, 1, [19437, 37519], [56, 56]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	90
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	56
hecke_orbit_code	bigint	247697979538969906
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
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean
label	text	'38194.2.a.cd'
level	integer	38194
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, 13, 113]
level_radical	integer	2938
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	90
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'38194.2.a'
trace_display	numeric[]	[90, 13, 6, 1]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[90, 90, 13, 90, 6, 13, 1, 90, 113, 6, 4, 13, 0, 1, 1, 90, 21, 113, 16, 6, 14, 4, 40, 13, 114, 0, 49...
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': [-88], 'conrey_index': 703, 'dim': 4, 'field_disc': 7744, 'field_disc_factorization': [[2, 6], [11, 2]], 'field_poly': [23, -2, 3, -2, 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': [[3, [0, 1]], [7, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977786752, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'id': 117077, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 88, 2, -1, 2, -88], [1, 1, 11, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 44, 3, 1, 2, 0], [1, 1, 8, 4, -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.b', '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.b', 'nf_label': '4.0.7744.2', 'prim_orbit_index': 7, 'qexp_display': 'q-3q^{9}+\\beta _{1}q^{11}-\\beta _{2}q^{13}-2\\beta _{1}q^{19}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d2', 'self_twist_discs': [-88], 'self_twist_type': 1, 'space_label': '1408.2.g', 'trace_display': [0, 0, 0, 0], 'trace_hash': 970015387095376627, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.056', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.570', 'prec': 14}, {'__RealLiteral__': 0, 'data': '2.724', 'prec': 14}, {'__RealLiteral__': 0, 'data': '162.644', 'prec': 20}, {'__RealLiteral__': 0, 'data': '143.893', 'prec': 20}, {'__RealLiteral__': 0, 'data': '8262.456', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.882', 'prec': 10}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 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, 36, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 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, -20, 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, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 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