Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T04:49:52.436934

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	60876
analytic_conductor	double precision	121.52432683618662
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[3, -1], [19, -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	[15219, 1, [13529, 10414, 12997], [20, 20, 20]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	24
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	20
hecke_orbit_code	bigint	85568392953609075
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	False
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	'15219.2.a.t'
level	integer	15219
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[]	[3, 19, 89]
level_radical	integer	5073
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	24
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'15219.2.a'
trace_display	numeric[]	[4, 0, 13, -9]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[24, 4, 0, 14, 13, 0, -9, 9, 0, -16, 8, 0, -25, -6, 0, -10, 3, 0, 24, -2, 0, -12, 4, 0, -1, 14, 0, -...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 3552, 'analytic_conductor': 1.7726789248724246, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 12, 'artin_field': [-24, 0, 25, 0, -10, 0, 1], 'artin_field_label': '6.2.75700224.1', 'artin_image': '12.4', 'char_conductor': 888, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': -1, 'char_values': [3552, 2, [223, 3109, 2369, 3073], [2, 1, 1, 1]], 'cm_discs': [-888], 'conrey_index': 1553, 'dim': 1, 'embedded_related_objects': [['ArtinRepresentation/2.2e5_3_37.6t3.5c1']], 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [11, [-1, 1]], [13, [-1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149399965152, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 179867, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 888, 9, -1, 2, -888]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '3552.1.i.b', 'level': 3552, '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, 37], 'level_radical': 222, 'minimal_twist': '888.1.i.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 9, 'projective_field': [3, 9, -1, 1], 'projective_field_label': '3.1.888.1', 'projective_image': 'D3', 'projective_image_type': 'Dn', 'qexp_display': 'q-q^{3}+q^{7}+q^{9}+q^{11}+q^{13}+q^{17}+\\cdots', 'related_objects': ['ArtinRepresentation/2.2e5_3_37.6t3.5'], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-888], 'self_twist_type': 1, 'space_label': '3552.1.i', 'trace_display': [0, -1, 0, 1], 'trace_hash': 1957086183320213739, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.004', 'prec': 4}, {'__RealLiteral__': 0, 'data': '0.953', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.027', 'prec': 7}, {'__RealLiteral__': 0, 'data': '2.844', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.121', 'prec': 10}, {'__RealLiteral__': 0, 'data': '10.409', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.519', 'prec': 10}, 'traces': [1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, -1, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, -2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 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