Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-24T10:49:04.100405

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	58300
analytic_conductor	double precision	116.38196094601616
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[5, 1], [11, -1], [53, -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	[14575, 1, [12827, 11926, 4401], [3, 3, 3]]
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	-1
hecke_cutters	jsonb
hecke_orbit	integer	3
hecke_orbit_code	bigint	9007199288309999
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[]
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
label	text	'14575.2.a.c'
level	integer	14575
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[]	[5, 11, 53]
level_radical	integer	2915
minimal_twist	text
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-q^{2}+q^{3}-q^{4}-q^{6}-4q^{7}+3q^{8}+\\cdots'
related_objects	text[]	['EllipticCurve/Q/14575/c']
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	'14575.2.a'
trace_display	numeric[]	[-1, 1, 0, -4]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[1, -1, 1, -1, 0, -1, -4, 3, -2, 0, 1, -1, -1, 4, 0, -1, -1, 2, -3, 0, -4, -1, -5, 3, 0, 1, -5, 4, -...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 31752, 'analytic_conductor': 63.38524912449237, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -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': [7938, 1, [6077, 3727], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [1, -4, 1]], [11, [-26, 2, 1]], [13, [-3, -6, 1]], [17, [-7, 1]], [23, [-26, 2, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265234690, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 250204, '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': '7938.2.a.bt', 'level': 7938, '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': '1134.2.a.l', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+(2+\\beta )q^{5}+q^{8}+(2+\\beta )q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7938.2.a', 'trace_display': [2, 0, 4, 0], 'trace_hash': 1244096168843157383, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.952', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.031', 'prec': 7}, {'__RealLiteral__': 0, 'data': '9.442', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '64.297', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 7}, 'traces': [2, 2, 0, 2, 4, 0, 0, 2, 0, 4, -2, 0, 6, 0, 0, 2, 14, 0, 2, 4, 0, -2, -2, 0, 4, 6, 0, 0, -10, 0, -6, 2, 0, 14, 0, 0, 4, 2, 0, 4, 12, 0, 4, -2, 0, -2, 6, 0, 0, 4, 0, 6, 12, 0, 14, 0, 0, -10, -2, 0, 6, -6, 0, 2, 0, 0, -10, 14, 0, 0, -20, 0, -20, 4, 0, 2, 0, 0, 6, 4, 0, 12, 2, 0, 28, 4, 0, -2, 6, 0, 0, -2, 0, 6, 10, 0, -8, 0, 0, 4, 4, 0, -4, 6, 0, 12, 0, 0, -4, 14, 0, 0, 8, 0, -22, -10, 0, -2, 0, 0, 34, 6, 0, -6, 12, 0, 24, 2, 0, 0, 28, 0, 0, -10, 0, 14, 20, 0, 10, 0, 0, -20, -42, 0, -32, -20, 0, 4, -18, 0, -22, 2, 0, 0, 6, 0, 2, 6, 0, 4, 0, 0, -20, 12, 0, 2, -14, 0, 16, 28, 0, 4, 16, 0, 0, -2, 0, 6, -6, 0, 12, 0, 0, -2, -22, 0, -14, 6, 0, 10, -6, 0, 10, -8, 0, 0, 10, 0, 14, 4, 0, 4, 0, 0, 36, -4, 0, 6, 16, 0, -38, 12, 0, 0, 20, 0, 0, -4, 0, 14, 42, 0, 44, 0, 0, 8, -24, 0, -2, -22, 0, -10, 16, 0, 6, -2, 0, 0, -18, 0, 32, 34, 0, 6, 0, 0, -6, -6, 0, 12, -6, 0, -52, 24, 0, 2, 6, 0, 0, 0, 0, 28, 30, 0, 12, 0, 0, -10, -20, 0, -6, 14, 0, 20, 68, 0, 4, 10, 0, 0, 16, 0, 4, -20, 0, -42, 0, 0, 64, -32, 0, -20, 24, 0, -22, 4, 0, -18, 30, 0, 0, -22, 0, 2, 36, 0, 16, 0, 0, 6, 10, 0, -20, 2, 0, 6, 42, 0, -26, 4, 0, 0, 14, 0, -36, -20, 0, 12, 0, 0, 4, 2, 0, -14, -14, 0, -12, 16, 0, 28, 60, 0, 0, 4, 0, 16, -36, 0, 4, 0, 0, -2, -36, 0, -52, 6, 0, -6, 8, 0, -30, 12, 0, 0, -46, 0, 2, -2, 0, -22, 0, 0, -40, -14, 0, 6, -6, 0, -10, 10, 0, -6, -16, 0, 0, 10, 0, -8, 20, 0, -14, 0, 0, 10, 54, 0, 42, 14, 0, 4, 24, 0, -54, 4, 0, 0, -94, 0, -52, 36, 0, -4, 0, 0, -50, 6, 0, 16, -12, 0, -24, -38, 0, 12, 28, 0, 0, 0, 0, 20, 36, 0, -28, 0, 0, -4, -20, 0, -12, 14, 0, 42, 34, 0, -12, 44, 0, 0, -4, 0, 24, 8, 0, -24, 0, 0, 14, -2, 0, -22, 28, 0, -34, -10, 0, 16, -2, 0, 0, 6, 0, -2, 32, 0, 28, 0, 0, -18, 2, 0, 72, 32, 0, 34, 8, 0, -26, 6, 0, 0, -60, 0, -70, -6, 0, -6, 0, 0, 50, 12, 0, -6, 42, 0, -16, -52, 0, 24, 36, 0, 0, 2, 0, 6, -44, 0, -24, 0, 0, 0, -60, 0, -4, 28, 0, 30, -42, 0, 10, 12, 0, 0, 12, 0, 0, -10, 0, -20, 0, 0, 24, -6, 0, 14, -26, 0, -42, 20, 0, 68, -22, 0, 0, 4, 0, 10, -34, 0, -12, 0, 0, 16, -16, 0, 10, 4, 0, -20, -36, 0, -42, -42, 0, 0, -76, 0, -32, 64, 0, -32, 0, 0, -48, -20, 0, 24, 26, 0, 12, -22, 0, 4, 18, 0, 0, -18, 0, 30, 6, 0, -28, 0, 0, -22, 32, 0, 18, 2, 0, 36, 30, 0, 12, 16, 0, 0, 28, 0, -8, 6, 0, 10, 0, 0, 34, -20, 0, 2, 28, 0, 10, 6, 0, 42, 48, 0, 0, -26, 0, 4, -20, 0, 50, 0, 0, 14, 12, 0, -52, -36, 0, -20, 12, 0, 68, 12, 0, 0, 52, 0, -2, 4, 0, 2, 0, 0, 46, -14, 0, -14, 66, 0, -2, -12, 0, 16, 72, 0, 0, 28, 0, 60, -24, 0, 46, 0, 0, 4, 60, 0, 56, 16, 0, -36, 26, 0, 84, 4, 0, 0, -34, 0, -26, -2, 0, -36, 0, 0, -32, -52, 0, 6, -48, 0, -18, -6, 0, 8, -12, 0, 0, -30, 0, 12, -68, 0, -68, 0, 0, -46, 28, 0, -60, 2, 0, -2, 28, 0, -30, -22, 0, 0, 60, 0, -36, -40, 0, -14, 0, 0, -72, 6, 0, -6, -62, 0, 0, -10, 0, 10, 74, 0, 0, -6, 0, -16, 30, 0, 40, 0, 0, 10, 16, 0, 60, -8, 0, 20, 24, 0, -16, -14, 0, 0, 4, 0, 36, 10, 0, 54, 0, 0, -30, 42, 0, 14, 0, 0, 42, 4, 0, 24, 2, 0, 0, -54, 0, 4, -40, 0, -26, 0, 0, -94, -28, 0, 16, -52, 0, 36, -38, 0, -40, -4, 0, 0, 12, 0, 28, -50, 0, 6, 0, 0, -46, 16, 0, -12, -4, 0, 16, -24, 0, -38, -40, 0, 0, 12, 0, 28, 86, 0, 44, 0, 0, 0, -6, 0, -28, 20, 0, 36, -10, 0, 38, -28, 0, 0, 120, 0, -42, -4, 0, -20, 0, 0, -28, -12, 0, 14, 12, 0, -2, 42, 0, 34, -54, 0, 0, -12, 0, 44, 0, 0, -30, 0, 0, -4, -6, 0, 84, 24, 0, 8, -12, 0, -72, -24, 0, 0, -36, 0, -164, 14, 0, -2, 0, 0, 2, -22, 0, 28, -36, 0, -112, -34, 0, -10, -6, 0, 0, 16, 0, -2, 98, 0, -28, 0, 0, 6, -44, 0, -48, -2, 0, 32, 44, 0, -48, 28, 0, 0, 52, 0, -42, -18, 0, 2, 0, 0, 10, 72, 0, 32, -28, 0, 10, 34, 0, 8, 42, 0, 0, -26, 0, 6, -60, 0, -78, 0, 0, -60, 48, 0, 92, -70, 0, -6, -40, 0, -38, -6, 0, 0, -14, 0, -34, 50, 0, 12, 0, 0, -14, -6, 0, 42, 0, 0, 22, -16, 0, -52, -12, 0, 0, 24, 0, 36, 20, 0, 10, 0, 0, 2, 72, 0, -66, 6, 0, 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