Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-25T19:51:09.749541

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	23296
analytic_conductor	double precision	46.504874137193696
analytic_rank	smallint	1
analytic_rank_proved	boolean	True
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[2, -1], [7, 1], [13, -1]]
atkin_lehner_string	text	'-+-'
char_conductor	integer	1
char_degree	integer	1
char_is_minimal	boolean	False
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	[5824, 1, [2367, 1093, 4161, 4929], [1, 1, 1, 1]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	1
embedded_related_objects	text[]
field_disc	numeric	1
field_disc_factorization	numeric[]	[]
field_poly	numeric[]	[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	[[3, [2, 1]], [5, [-1, 1]], [11, [-4, 1]], [17, [6, 1]], [19, [-1, 1]]]
hecke_orbit	integer	5
hecke_orbit_code	bigint	18014398543042240
hecke_ring_generator_nbound	integer	1
hecke_ring_index	numeric	1
hecke_ring_index_factorization	numeric[]	[]
hecke_ring_index_proved	boolean	True
inner_twist_count	integer	1
inner_twists	integer[]	[[1, 1, 1, 1, 1, 1, 1]]
is_cm	boolean	False
is_largest	boolean	False
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	False
label	text	'5824.2.a.e'
level	integer	5824
level_is_powerful	boolean	False
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	False
level_primes	integer[]	[2, 7, 13]
level_radical	integer	182
minimal_twist	text	'728.2.a.a'
nf_label	text	'1.1.1.1'
prim_orbit_index	smallint	1
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text	'q-2q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}+q^{13}+\\cdots'
related_objects	text[]	['EllipticCurve/Q/5824/e']
relative_dim	integer	1
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'5824.2.a'
trace_display	numeric[]	[0, -2, 1, -1]
trace_hash	bigint	1535805408020401832
trace_moments	numeric[]	[0.000, 1.008, 0.000, 2.010, 0.000, 4.947]
trace_zratio	numeric	0.016
traces	numeric[]	[1, 0, -2, 0, 1, 0, -1, 0, 1, 0, 4, 0, 1, 0, -2, 0, -6, 0, 1, 0, 2, 0, -1, 0, -4, 0, 4, 0, -3, 0, 7,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 3024, 'analytic_conductor': 1.5091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 252, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 49, 'char_orbit_label': 'bw', 'char_order': 6, 'char_parity': -1, 'char_values': [3024, 6, [1135, 757, 785, 2593], [3, 6, 2, 2]], 'cm_discs': [], 'conrey_index': 415, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 3298551663568, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 167503, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 63, 8, 1, 3, 0], [1, 1, 252, 21, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3024.1.bw.a', 'level': 3024, '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': '1008.1.bw.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 21, 'projective_field': [20, -4, 6, -2, 1], 'projective_field_label': '4.0.63504.1', 'projective_image': 'A4', 'projective_image_type': 'A4', 'qexp_display': 'q-\\zeta_{12}^{2}q^{5}-\\zeta_{12}^{3}q^{7}+\\zeta_{12}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3024.1.bw', 'trace_display': [0, 0, -2, 0], 'traces': [4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 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, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0], 'weight': 1, 'weight_parity': -1}