Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-05T01:59:30.267860

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	108360
analytic_conductor	double precision	216.31473907564856
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], [3, 1], [5, 1], [7, -1], [43, 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	[27090, 1, [21071, 10837, 19351, 25201], [116, 116, 116, 116]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	8
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]	[11, -14, -82, 12, 72, 4, -18, -2, 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	116
hecke_orbit_code	bigint	517913957181188562
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	True
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean
label	text	'27090.2.a.el'
level	integer	27090
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, 3, 5, 7, 43]
level_radical	integer	9030
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	8
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'27090.2.a'
trace_display	numeric[]	[8, 0, -8, 8]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[8, 8, 0, 8, -8, 0, 8, 8, 0, -8, 3, 0, -2, 8, 0, 8, -4, 0, -10, -8, 0, 3, 1, 0, 8, -2, 0, 8, -2, 0, ...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 6400, 'analytic_conductor': 12.776064323404862, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 20, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 4, 'char_parity': 1, 'char_values': [1600, 4, [1151, 901, 577], [2, 4, 3]], 'cm_discs': [], 'conrey_index': 1343, 'dim': 8, 'field_disc': 3317760000, 'field_disc_factorization': [[2, 16], [3, 4], [5, 4]], 'field_poly': [16, 0, 0, 0, -7, 0, 0, 0, 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, [25, 0, 0, 0, 1]], [7, [0, 1]], [11, [15, 0, 1]], [13, [144, 0, 0, 0, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94576485561534016, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'id': 124021, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 2, 5, 3, -1, 4, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 20, 4, -1, 2, 0], [1, 2, 20, 5, 1, 4, 0], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1600.2.n.v', 'level': 1600, '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, 5], 'level_radical': 10, 'minimal_twist': '100.2.e.d', 'nf_label': '8.0.3317760000.5', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{2}q^{3}+2\\beta _{3}q^{9}+\\beta _{7}q^{11}+2\\beta _{4}q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1600.2.n', 'trace_display': [0, 0, 0, 0], 'trace_hash': 964363049623506921, 'trace_moments': 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