Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-24T15:00:05.708237

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	165620
analytic_conductor	double precision	330.6205895691114
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], [7, -1], [13, 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	[41405, 1, [8282, 34646, 36506], [80, 80, 80]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	15
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]	[-1, 243, 98, -1178, -143, 2131, -244, -1774, 496, 716, -299, -125, 76, 3, -7, 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	80
hecke_orbit_code	bigint	355784370595865021
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	True
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean
label	text	'41405.2.a.db'
level	integer	41405
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, 7, 13]
level_radical	integer	455
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	15
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'41405.2.a'
trace_display	numeric[]	[-7, 7, -15, 0]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[15, -7, 7, 13, -15, 4, 0, -24, 2, 7, -6, -1, 0, 0, -7, 5, 6, 9, 14, -13, 0, 5, 6, -3, 15, 0, 25, 0,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 576, 'analytic_conductor': 0.2874614472766094, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 72, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 6, 'char_parity': -1, 'char_values': [576, 6, [127, 325, 65], [6, 3, 1]], 'cm_discs': [-8], 'conrey_index': 353, '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': 893369975360, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 66224, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 4, 2, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 36, 8, 1, 6, 0], [1, 1, 72, 10, -1, 6, 0], [1, 1, 72, 12, 1, 6, 0]], 'is_cm': True, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '576.1.n.a', 'level': 576, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '576.1.n.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 10, 'projective_field': [1, 0, 0, -10, 0, 0, 1], 'projective_field_label': '6.2.10077696.2', 'projective_image': 'D6', 'projective_image_type': 'Dn', 'qexp_display': 'q-\\zeta_{12}q^{3}+\\zeta_{12}^{2}q^{9}+(-\\zeta_{12}^{3}-\\zeta_{12}^{5}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '576.1.n', 'trace_display': [0, 0, 0, 0], 'trace_hash': 933432327158555366, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.029', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.840', 'prec': 14}, {'__RealLiteral__': 0, 'data': '-1.331', 'prec': 14}, {'__RealLiteral__': 0, 'data': '133.774', 'prec': 20}, {'__RealLiteral__': 0, 'data': '-62.101', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5746.739', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.825', 'prec': 10}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, 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, -4, 0, 0, 0, 0, 0, 0, 0, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 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, 0, 0, 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