Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T23:40:59.077815

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	39304
analytic_conductor	double precision	234.54161819542543
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[]	[[2, 1], [17, -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	[34, 1, [3], [1]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	11
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]	[-138827621609943176848421616339582572185739685600337155542401852310832064419840, -64627194585417219...
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, [-16098259894945095113843678078121086880343860036174834470149581019843462225144516706304, -3241...
hecke_orbit	integer	2
hecke_orbit_code	bigint	4503600197795874
hecke_ring_generator_nbound	integer	19
hecke_ring_index	numeric	19747461582028697120345761661111500800
hecke_ring_index_factorization	numeric[]	[[2, 54], [3, 16], [5, 2], [7, 2], [11, 4], [17, 5]]
hecke_ring_index_proved	boolean	False
inner_twist_count	integer	1
inner_twists	integer[]	[[1, 1, 1, 1, 1, 1, 1]]
is_cm	boolean	False
is_largest	boolean	True
is_maximal	boolean	True
is_polredabs	boolean	False
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean	True
label	text	'34.34.a.b'
level	integer	34
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[]	[2, 17]
level_radical	integer	34
minimal_twist	text	'34.34.a.b'
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	'q-2^{16}q^{2}+(8984606+\\beta _{1})q^{3}+2^{32}q^{4}+\\cdots'
related_objects	text[]	[]
relative_dim	integer	11
rm_discs	integer[]	[]
sato_tate_group	text	'33.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'34.34.a'
trace_display	numeric[]	[-720896, 98830668, -351082056366, 136089780283600]
trace_hash	bigint	780634615529267897
trace_moments	numeric[]	[0.260, 10.186, 3.449, 311.256, 0.000, 16122.351]
trace_zratio	numeric	0
traces	numeric[]	[11, -720896, 98830668, 47244640256, -351082056366, -6476966658048, 136089780283600, -30962247438172...
weight	smallint	34
weight_parity	smallint	1

{'Nk2': 4100, 'analytic_conductor': 16.95267394575047, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 164, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [164, 2, [83, 129], [1, 1]], 'cm_discs': [-4], 'conrey_index': 163, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805869686948, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 240, 'hecke_ring_index_factorization': [[2, 4], [3, 1], [5, 1]], 'hecke_ring_index_proved': True, 'id': 26406, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 164, 4, -1, 2, 0], [1, 1, 41, 2, 1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '164.5.d.b', 'level': 164, '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, 41], 'level_radical': 82, 'minimal_twist': '164.5.d.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 4, 'qexp_display': 'q-4q^{2}+2^{4}q^{4}+14q^{5}-2^{6}q^{8}-3^{4}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '4.2.1.d2', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '164.5.d', 'trace_display': [-8, 0, 28, 0], 'trace_hash': 78720490822299709, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.845', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '21.468', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '280.834', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.756', 'prec': 10}, 'traces': [2, -8, 0, 32, 28, 0, 0, -128, -162, -112, 0, 0, 0, 0, 0, 512, 0, 648, 0, 448, 0, 0, 0, 0, -858, 0, 0, 0, 0, 0, 0, -2048, 0, 0, 0, -2592, -4324, 0, 0, -1792, -3038, 0, 0, 0, -2268, 0, 0, 0, -4802, 3432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13916, 0, 0, 8192, 0, 0, 0, 0, 0, 0, 0, 10368, -2884, 17296, 0, 0, 0, 0, 0, 7168, 13122, 12152, 0, 0, 0, 0, 0, 0, 0, 9072, 0, 0, 0, 0, 0, 0, 0, 19208, 0, -13728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49276, 0, 0, 0, 0, 0, 0, 0, -29282, 55664, 0, 0, -29512, 0, 0, -32768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -41472, 0, 11536, 0, -69184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28672, 0, -52488, 0, -48608, 0, 0, 0, 0, -58078, 0, 0, 0, 98084, 0, 0, 0, 0, 0, 0, -36288, 0, 0, 0, 0, -60536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76832, 148964, 0, 0, 54912, 0, 0, 0, 0, -42532, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 230400, 0, 0, 0, 69498, -197104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 117124, 117128, 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1612800, 0, 0, 0, 0, 0, 0, -472192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -524288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 559682, 0, 0, 0, 345600, 0, 0, 0, 0, 1005424, 0, 0, 240476, 0, 0, 0, 0, 0, 0, 0, 1127196, 0, 0, 0, 0, -804464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 689864, 0, 0, 0, 868156, 0, 0, 0, 0, 0, 0, -663552, 0, 1175032, 0, 0, 0, 0, 0, 184576, 0, 0, 0, 0, 0, 0, 0, -1106944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -409948, 0, 0, 0, 0, 779296, 0, 0, 1493276, 0, 0, 0, -1434556, 0, 0, 0, 0, 0, 0, 0, 123082, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -458752, 0, 0, 0, 0, 0, 0, 0, -839808, 0, 0, 0, 0, 0, 0, 0, -777728, 233604, 0, 0, 0, -1027684, 0, 0, 0, 0, -1400976, 0, 0, 0, 0, 0, 0, 0, -837104, 0, -929248, -1811684, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2419200, 0, 0, 1569344, 0, 0, 0, 0, -691200, 912016, 0, 0, -1424804, 0, 0, 0, 0, -373744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -580608, 0, 1042568, 0, 0, 0, 0, 0, 0, -1062882, 161504, 0, 0, 2055844, 0, 0, 0, 0, -984312, 0, -968576, 0, 0, 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0, 0, 0, 0, 0, 0, 1888768], 'weight': 5, 'weight_parity': -1}