Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-24T10:51:52.739808

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	23972
analytic_conductor	double precision	47.854345931353336
analytic_rank	smallint	0
analytic_rank_proved	boolean	True
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[13, -1], [461, 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	[5993, 1, [5072, 924], [1, 1]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	2
embedded_related_objects	text[]
field_disc	numeric	8
field_disc_factorization	numeric[]	[[2, 3]]
field_poly	numeric[]	[-2, 0, 1]
field_poly_is_cyclotomic	boolean	False
field_poly_is_real_cyclotomic	boolean	True
field_poly_root_of_unity	integer	8
fricke_eigenval	smallint	-1
has_non_self_twist	smallint	0
hecke_cutters	jsonb	[[2, [-1, -2, 1]]]
hecke_orbit	integer	3
hecke_orbit_code	bigint	9007199288301417
hecke_ring_generator_nbound	integer	2
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	True
label	text	'5993.2.a.c'
level	integer	5993
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	True
level_primes	integer[]	[13, 461]
level_radical	integer	5993
minimal_twist	text	'5993.2.a.c'
nf_label	text	'2.2.8.1'
prim_orbit_index	smallint	1
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text	'q+(1+\\beta )q^{2}-2\\beta q^{3}+(1+2\\beta )q^{4}+(3+\\cdots)q^{5}+\\cdots'
related_objects	text[]	[]
relative_dim	integer	2
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'5993.2.a'
trace_display	numeric[]	[2, 0, 6, -2]
trace_hash	bigint	522818230327851555
trace_moments	numeric[]	[0.020, 1.984, 0.000, 9.616, 0.000, 63.844]
trace_zratio	numeric	0.021
traces	numeric[]	[2, 2, 0, 2, 6, -8, -2, 6, 10, 2, 6, -16, 2, -10, 8, 6, -6, 10, -4, -2, 16, -2, 12, -8, 12, 2, 0, -1...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 57, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 55, 'char_orbit_label': 'cc', 'char_order': 18, 'char_parity': 1, 'char_values': [912, 18, [799, 229, 305, 97], [18, 18, 9, 17]], 'cm_discs': [], 'conrey_index': 257, 'dim': 18, 'field_disc': -333886836335501099825344512, 'field_disc_factorization': [[-1, 1], [2, 12], [3, 27], [103391, 2]], 'field_poly': [19683, 0, 0, -729, -4374, 2916, 270, 162, 270, -567, 90, 18, 10, 36, -18, -1, 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': [[5, [1728, 10368, 11232, 72, 70344, 60552, 141193, 5202, -30258, -1458, -1458, 324, 46, -162, 108, 0, 9, 0, 1]], [7, [87616, 113664, 216720, 148720, 195300, 100062, 117161, 41064, 43740, 9622, 11985, 1494, 2222, 90, 297, 4, 21, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9010910140040080, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 92676, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 57, 10, 1, 18, 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': '912.2.cc.c', 'level': 912, '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, 19], 'level_radical': 114, 'minimal_twist': '114.2.l.a', 'prim_orbit_index': 10, 'qexp_display': 'q+\\beta _{12}q^{3}+(-\\beta _{2}-\\beta _{14}+\\beta _{15})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c18', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '912.2.cc', 'trace_display': [0, -3, 0, 0], 'trace_hash': 140311994132972557, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '17.269', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '936.768', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '80786.906', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.075', 'prec': 7}, 'traces': [18, 0, -3, 0, 0, 0, 0, 0, -3, 0, 0, 0, -12, 0, -18, 0, 6, 0, 6, 0, 0, 0, 0, 0, -18, 0, 6, 0, -6, 0, 0, 0, -24, 0, 24, 0, 0, 0, -6, 0, 3, 0, 6, 0, -54, 0, -30, 0, 21, 0, -42, 0, -60, 0, -30, 0, 12, 0, -3, 0, 54, 0, 18, 0, 24, 0, 15, 0, 30, 0, -36, 0, -42, 0, 0, 0, 0, 0, 6, 0, -3, 0, -36, 0, 0, 0, 0, 0, -60, 0, 18, 0, -66, 0, -6, 0, 9, 0, 102, 0, 54, 0, -18, 0, 36, 0, 21, 0, 36, 0, -108, 0, -12, 0, 108, 0, -6, 0, -60, 0, 3, 0, 42, 0, 0, 0, -54, 0, 54, 0, 12, 0, -78, 0, 0, 0, 57, 0, 21, 0, -18, 0, 42, 0, -54, 0, -33, 0, -60, 0, 0, 0, 48, 0, 42, 0, 66, 0, 36, 0, 78, 0, -24, 0, 126, 0, 54, 0, 90, 0, -24, 0, 72, 0, -96, 0, 24, 0, 42, 0, -24, 0, -48, 0, -126, 0, 0, 0, 90, 0, 0, 0, -6, 0, 84, 0, 54, 0, 72, 0, -78, 0, 60, 0, 72, 0, -60, 0, -24, 0, 54, 0, -144, 0, -66, 0, -36, 0, 45, 0, 54, 0, 12, 0, 18, 0, 96, 0, -24, 0, 54, 0, -15, 0, 48, 0, -102, 0, 108, 0, -81, 0, -3, 0, -6, 0, 42, 0, -54, 0, -81, 0, -54, 0, -6, 0, 66, 0, 0, 0, -36, 0, 90, 0, 0, 0, -72, 0, 144, 0, -18, 0, -30, 0, -99, 0, 36, 0, -120, 0, -15, 0, -9, 0, 66, 0, 12, 0, -6, 0, 63, 0, -36, 0, -48, 0, -24, 0, -24, 0, 54, 0, -90, 0, 0, 0, -42, 0, -42, 0, -198, 0, 36, 0, 0, 0, -174, 0, -84, 0, 24, 0, 3, 0, 66, 0, 174, 0, -42, 0, -108, 0, 54, 0, -30, 0, 9, 0, -78, 0, -96, 0, -12, 0, -72, 0, -36, 0, 0, 0, 48, 0, 144, 0, 72, 0, -12, 0, 54, 0, 96, 0, -18, 0, 120, 0, 24, 0, 105, 0, 96, 0, -18, 0, -30, 0, 0, 0, 0, 0, 30, 0, -66, 0, -78, 0, 0, 0, 18, 0, -36, 0, 135, 0, 114, 0, -66, 0, -66, 0, -15, 0, -60, 0, -72, 0, -66, 0, -15, 0, 75, 0, 102, 0, 30, 0, 3, 0, 0, 0, 96, 0, 54, 0, -63, 0, 24, 0, 54, 0, 6, 0, -108, 0, -42, 0, -48, 0, 132, 0, -96, 0, -117, 0, -90, 0, 84, 0, 0, 0, 90, 0, -60, 0, 36, 0, -216, 0, 156, 0, -48, 0, -18, 0, 12, 0, 18, 0, -18, 0, 36, 0, -105, 0, 54, 0, 36, 0, 0, 0, 54, 0, -72, 0, -90, 0, -54, 0, -48, 0, -18, 0, 0, 0, -54, 0, -144, 0, -33, 0, -48, 0, -18, 0, 48, 0, 6, 0, -54, 0, 54, 0, 120, 0, -168, 0, 84, 0, 78, 0, -42, 0, -156, 0, -18, 0, 96, 0, 210, 0, -39, 0, 0, 0, -174, 0, -78, 0, -18, 0, -24, 0, 0, 0, 102, 0, -204, 0, -12, 0, 78, 0, 30, 0, -24, 0, -12, 0, 144, 0, 99, 0, 0, 0, 78, 0, 108, 0, -42, 0, 36, 0, 42, 0, 90, 0, -60, 0, -96, 0, -108, 0, 96, 0, 138, 0, -18, 0, -36, 0, -54, 0, 27, 0, -72, 0, 108, 0, -126, 0, -54, 0, -177, 0, -156, 0, 0, 0, 96, 0, -90, 0, -24, 0, 66, 0, 105, 0, 69, 0, 48, 0, -156, 0, 0, 0, -9, 0, -138, 0, 114, 0, -72, 0, 12, 0, -54, 0, -18, 0, 72, 0, -111, 0, 24, 0, 0, 0, 15, 0, -138, 0, 162, 0, 120, 0, -27, 0, 192, 0, -18, 0, -36, 0, 138, 0, -24, 0, 6, 0, 12, 0, -171, 0, 180, 0, -48, 0, 36, 0, -204, 0, -222, 0, 72, 0, 168, 0, 126, 0, -75, 0, -108, 0, -72, 0, -153, 0, 30, 0, 54, 0, 138, 0, 6, 0, -78, 0, -30, 0, 114, 0, -24, 0, 198, 0, -36, 0, -72, 0, 0, 0, -114, 0, 36, 0, -150, 0, 60, 0, 126, 0, -42, 0, 12, 0, -30, 0, 39, 0, -216, 0, 204, 0, 6, 0, -126, 0, 114, 0, -66, 0, 69, 0, 84, 0, 42, 0, 78, 0, 0, 0, -108, 0, 48, 0, 252, 0, -6, 0, 87, 0, 72, 0, -24, 0, 150, 0, -48, 0, -90, 0, -108, 0, 36, 0, -54, 0, -42, 0, 54, 0, 36, 0, 120, 0, 168, 0, 36, 0, 0, 0, -129, 0, -60, 0, -84, 0, -18, 0, -186, 0, -72, 0, -36, 0, 96, 0, -12, 0, -210, 0, -246, 0, 171, 0, 3, 0, 378, 0, -66, 0, 102, 0, 0, 0, 6, 0, 318, 0, -186, 0, -123, 0, -18, 0, -42, 0, 132, 0, 126, 0, -30, 0, -114, 0, 192, 0, 39, 0, -12, 0, 12, 0, 102, 0, -24, 0, 84, 0, -18, 0, -234, 0, 0, 0, 132, 0, 54, 0, -72, 0, -153, 0, 36, 0, -138, 0, 108, 0, 120, 0, -78, 0, 180, 0, 54, 0, 54, 0, -72, 0, 138, 0, -78, 0, 165, 0, 0, 0, 84, 0, -186, 0, 84, 0, -12, 0, 114, 0, 9, 0, 108, 0, -96, 0, 246, 0, 99, 0, 54, 0, 30, 0, 90, 0, -159, 0, 117, 0, 126, 0, 180, 0, -18, 0, 0, 0, 0, 0, 156, 0, -126, 0, -36, 0, 138, 0, 114, 0, 51, 0, 105, 0, 270, 0, 132, 0, -123, 0, 6, 0, -18, 0, -126, 0, -108, 0, -129, 0, -78, 0, -30, 0, 150, 0, 48, 0, 0, 0, 144, 0, 78, 0, -36, 0, 138, 0, -36, 0], 'weight': 2, 'weight_parity': 1}