Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T23:40:59.079920

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	279
analytic_conductor	double precision	0.8446888195169204
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[]
atkin_lehner_string	text
char_conductor	integer	31
char_degree	integer	2
char_is_minimal	boolean	True
char_is_real	boolean	False
char_orbit_index	smallint	5
char_orbit_label	text	'e'
char_order	integer	6
char_parity	smallint	-1
char_values	jsonb	[31, 6, [3], [5]]
cm_discs	integer[]	[]
conrey_index	integer	6
dim	integer	2
embedded_related_objects	text[]
field_disc	numeric	-3
field_disc_factorization	numeric[]	[[-1, 1], [3, 1]]
field_poly	numeric[]	[1, -1, 1]
field_poly_is_cyclotomic	boolean	True
field_poly_is_real_cyclotomic	boolean	False
field_poly_root_of_unity	integer	6
fricke_eigenval	smallint
has_non_self_twist	smallint	1
hecke_cutters	jsonb	[[2, [3, 1]]]
hecke_orbit	integer	1
hecke_orbit_code	bigint	274928238623
hecke_ring_generator_nbound	integer	3
hecke_ring_index	numeric	1
hecke_ring_index_factorization	numeric[]	[]
hecke_ring_index_proved	boolean	True
inner_twist_count	integer	2
inner_twists	integer[]	[[1, 1, 1, 1, 1, 1, 1], [1, 1, 31, 5, -1, 6, 0]]
is_cm	boolean	False
is_largest	boolean	False
is_maximal	boolean	False
is_polredabs	boolean	True
is_rm	boolean	False
is_self_dual	boolean	False
is_self_twist	boolean	False
is_twist_minimal	boolean	True
label	text	'31.3.e.a'
level	integer	31
level_is_powerful	boolean	False
level_is_prime	boolean	True
level_is_prime_power	boolean	True
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	True
level_primes	integer[]	[31]
level_radical	integer	31
minimal_twist	text	'31.3.e.a'
nf_label	text	'2.0.3.1'
prim_orbit_index	smallint	5
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text	'q-3q^{2}+(1+\\zeta_{6})q^{3}+5q^{4}+9\\zeta_{6}q^{5}+\\cdots'
related_objects	text[]	[]
relative_dim	integer	1
rm_discs	integer[]	[]
sato_tate_group	text	'2.2.3.c6'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'31.3.e'
trace_display	numeric[]	[-6, 3, 9, 1]
trace_hash	bigint	1018056737271398349
trace_moments	numeric[]	[0.000, 1.975, 0.000, 11.469, 0.000, 93.087]
trace_zratio	numeric	0.166
traces	numeric[]	[2, -6, 3, 10, 9, -9, 1, -6, -6, -27, -21, 15, 27, -3, 0, -22, 3, 18, 17, 45, 3, 63, 0, -9, -56, -81...
weight	smallint	3
weight_parity	smallint	-1

{'Nk2': 4000, 'analytic_conductor': 16.53919409341509, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 4, 'char_parity': -1, 'char_values': [160, 4, [31, 101, 97], [4, 2, 1]], 'cm_discs': [], 'conrey_index': 17, 'dim': 44, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 824717607072, 'id': 25894, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 40, 9, -1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '160.5.m.a', 'level': 160, '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, 5], 'level_radical': 10, 'minimal_twist': '40.5.i.a', 'prim_orbit_index': 9, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '4.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '160.5.m', 'trace_display': [0, 0, 0, 4], 'traces': [44, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 236, 0, 0, 0, 0, 0, 4, 0, 332, 0, 0, 0, 0, 0, 264, 0, 320, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 5764, 0, 0, 0, 0, 0, 0, 0, -2496, 0, -328, 0, 0, 0, 0, 0, -9924, 0, -3700, 0, 0, 0, 0, 0, 19976, 0, 13196, 0, 0, 0, 0, 0, 0, 0, -13812, 0, 0, 0, 0, 0, -48952, 0, 0, 0, 0, 0, 0, 0, 27848, 0, 3276, 0, 0, 0, 0, 0, 25604, 0, -14208, 0, 0, 0, 0, 0, -80888, 0, 8396, 0, 0, 0, 0, 0, 0, 0, -5332, 0, 0, 0, 0, 0, 97284, 0, 0, 0, 0, 0, 0, 0, -13696, 0, 18476, 0, 0, 0, 0, 0, -39360, 0, -23560, 0, 0, 0, 0, 0, 121864, 0, -5836, 0, 0, 0, 0, 0, 0, 0, 9592, 0, 0, 0, 0, 0, -120956, 0, 0, 0, 0, 0, 0, 0, 33924, 0, 41912, 0, 0, 0, 0, 0, 20160, 0, 64364, 0, 0, 0, 0, 0, -244216, 0, -53204, 0, 0, 0, 0, 0, 0, 0, -28872, 0, 0, 0, 0, 0, 265284, 0, 0, 0, 0, 0, 0, 0, -40316, 0, -27208, 0, 0, 0, 0, 0, 118404, 0, 196928, 0, 0, 0, 0, 0, 239488, 0, -26644, 0, 0, 0, 0, 0, 0, 0, -106696, 0, 0, 0, 0, 0, -215992, 0, 0, 0, 0, 0, 0, 0, -323776, 0, -217204, 0, 0, 0, 0, 0, -215036, 0, -93396, 0, 0, 0, 0, 0, -120312, 0, 280968, 0, 0, 0, 0, 0, 0, 0, -27464, 0, 0, 0, 0, 0, 23048, 0, 0, 0, 0, 0, 0, 0, 534344, 0, -31680, 0, 0, 0, 0, 0, 729280, 0, -373152, 0, 0, 0, 0, 0, -125944, 0, -143924, 0, 0, 0, 0, 0, 0, 0, 468408, 0, 0, 0, 0, 0, -54072, 0, 0, 0, 0, 0, 0, 0, -817532, 0, 370476, 0, 0, 0, 0, 0, -1025280, 0, 140536, 0, 0, 0, 0, 0, -128000, 0, -648724, 0, 0, 0, 0, 0, 0, 0, 143044, 0, 0, 0, 0, 0, 92164, 0, 0, 0, 0, 0, 0, 0, 1602308, 0, 89752, 0, 0, 0, 0, 0, 1200004, 0, 525696, 0, 0, 0, 0, 0, 515336, 0, 451840, 0, 0, 0, 0, 0, 0, 0, -752168, 0, 0, 0, 0, 0, -354240, 0, 0, 0, 0, 0, 0, 0, -1711996, 0, -373768, 0, 0, 0, 0, 0, -2239044, 0, -469684, 0, 0, 0, 0, 0, -13048, 0, 947596, 0, 0, 0, 0, 0, 0, 0, 27092, 0, 0, 0, 0, 0, 683208, 0, 0, 0, 0, 0, 0, 0, 2387904, 0, 162316, 0, 0, 0, 0, 0, 2044164, 0, -1064584, 0, 0, 0, 0, 0, 829960, 0, -540480, 0, 0, 0, 0, 0, 0, 0, 520664, 0, 0, 0, 0, 0, -778236, 0, 0, 0, 0, 0, 0, 0, -3327104, 0, 759352, 0, 0, 0, 0, 0, -3008636, 0, 841408, 0, 0, 0, 0, 0, -1220088, 0, -1193920, 0, 0, 0, 0, 0, 0, 0, -238568, 0, 0, 0, 0, 0, 1305608, 0, 0, 0, 0, 0, 0, 0, 2994948, 0, -515848, 0, 0, 0, 0, 0, 4222400, 0, 1504504, 0, 0, 0, 0, 0, 2132368, 0, 1109440, 0, 0, 0, 0, 0, 0, 0, -557184, 0, 0, 0, 0, 0, -3109756, 0, 0, 0, 0, 0, 0, 0, -3916412, 0, -1664244, 0, 0, 0, 0, 0, -3854400, 0, -1068172, 0, 0, 0, 0, 0, -4165624, 0, 1250156, 0, 0, 0, 0, 0, 0, 0, 460728, 0, 0, 0, 0, 0, 3653124, 0, 0, 0, 0, 0, 0, 0, 5453064, 0, -100564, 0, 0, 0, 0, 0, 5233920, 0, -2010708, 0, 0, 0, 0, 0, 4474376, 0, -1680640, 0, 0, 0, 0, 0, 0, 0, 1859896, 0, 0, 0, 0, 0, -4705916, 0, 0, 0, 0, 0, 0, 0, -4943552, 0, 1975596, 0, 0, 0, 0, 0, -6464648, 0, 1607992, 0, 0, 0, 0, 0, -4867968, 0, -2252404, 0, 0, 0, 0, 0, 0, 0, 524472, 0, 0, 0, 0, 0, 7254088, 0, 0, 0, 0, 0, 0, 0, 5952968, 0, 799032, 0, 0, 0, 0, 0, 6162248, 0, 2234560, 0, 0, 0, 0, 0, 6780672, 0, 705592, 0, 0, 0, 0, 0, 0, 0, -1747976, 0, 0, 0, 0, 0, -6270076, 0, 0, 0, 0, 0, 0, 0, -9418436, 0, -1360320, 0, 0, 0, 0, 0, -7201916, 0, -2090056, 0, 0, 0, 0, 0, -7799544, 0, 2968000, 0, 0, 0, 0, 0, 0, 0, -1132328, 0, 0, 0, 0, 0, 7197128, 0, 0, 0, 0, 0, 0, 0, 8134408, 0, -656968, 0, 0, 0, 0, 0, 11288960, 0, -570292, 0, 0, 0, 0, 0, 8795912, 0, -1812640, 0, 0, 0, 0, 0, 0, 0, 1463488, 0, 0, 0, 0, 0, -10280632, 0, 0, 0, 0, 0, 0, 0, -10733180, 0, 546232, 0, 0, 0, 0, 0, -10638076, 0, 1515136, 0, 0, 0, 0, 0, -11906296, 0, -835916, 0, 0, 0, 0, 0, 0, 0, -241724, 0, 0, 0, 0, 0, 9222084, 0, 0, 0, 0, 0, 0, 0, 16363264, 0, 1367276, 0, 0, 0, 0, 0, 13013764, 0, 678284, 0, 0, 0, 0, 0, 7980040, 0, 3425684, 0, 0, 0, 0, 0, 0, 0, -2934920, 0, 0, 0, 0, 0, -8770556, 0, 0, 0, 0, 0, 0, 0, -13815736, 0, -2108168, 0, 0, 0, 0, 0, -18961288, 0, 222720, 0, 0, 0, 0, 0, -7583224, 0, -329600, 0, 0, 0, 0, 0, 0, 0, -3012424, 0, 0, 0, 0, 0, 12664644, 0, 0, 0, 0, 0, 0, 0, 16406976, 0, -3630484, 0, 0, 0, 0, 0, 15333768, 0, -1894720, 0, 0, 0, 0, 0, 12084232, 0, -1021684, 0, 0, 0, 0, 0, 0, 0, 1908676, 0, 0, 0, 0, 0, -10924796, 0, 0, 0, 0, 0, 0, 0, -22578176, 0, 4412876, 0, 0, 0, 0, 0, -17683196, 0, 1130444, 0, 0, 0, 0, 0, -10561016, 0, 168320, 0, 0, 0, 0, 0, 0, 0], 'weight': 5, 'weight_parity': -1}