Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-25T21:04:45.653975

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	2580
analytic_conductor	double precision	1.2875877325931462
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	2580
char_degree	integer	12
char_is_minimal	boolean	True
char_is_real	boolean	False
char_orbit_index	smallint	82
char_orbit_label	text	'dd'
char_order	integer	42
char_parity	smallint	-1
char_values	jsonb	[2580, 42, [1291, 1721, 517, 1981], [21, 21, 21, 31]]
cm_discs	integer[]	[-20]
conrey_index	integer	119
dim	integer	12
embedded_related_objects	text[]
field_disc	numeric	205924456521
field_disc_factorization	numeric[]	[[3, 6], [7, 10]]
field_poly	numeric[]	[1, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1]
field_poly_is_cyclotomic	boolean	True
field_poly_is_real_cyclotomic	boolean	False
field_poly_root_of_unity	integer	21
fricke_eigenval	smallint
has_non_self_twist	smallint	1
hecke_cutters	jsonb	[[23, [49, 147, 196, 245, 343, 392, 357, 266, 161, 77, 28, 7, 1]], [29, [1, -15, 70, -104, 90, -35, ...
hecke_orbit	integer	2
hecke_orbit_code	bigint	4509165921765908
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	4
inner_twists	integer[]	[[1, 1, 1, 1, 1, 1, 1], [1, 1, 20, 4, -1, 2, -20], [1, 1, 129, 14, 1, 42, 0], [1, 1, 2580, 82, -1, 4...
is_cm	boolean	True
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	True
is_twist_minimal	boolean	True
label	text	'2580.1.dd.b'
level	integer	2580
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	False
level_primes	integer[]	[2, 3, 5, 43]
level_radical	integer	1290
minimal_twist	text	'2580.1.dd.a'
nf_label	text	'12.0.205924456521.1'
prim_orbit_index	smallint	82
projective_field	numeric[]	[99025394477633536000000, -65704358128712704000000, -131438401255629888512000, 146454733013102736896...
projective_field_label	text
projective_image	text	'D42'
projective_image_type	text	'Dn'
qexp_display	text	'q-\\zeta_{42}^{3}q^{2}+\\zeta_{42}^{7}q^{3}+\\zeta_{42}^{6}q^{4}+\\cdots'
related_objects	text[]	[]
relative_dim	integer	1
rm_discs	integer[]	[]
sato_tate_group	text
self_twist_discs	integer[]	[-20]
self_twist_type	smallint	1
space_label	text	'2580.1.dd'
trace_display	numeric[]	[-2, 6, 1, 0]
trace_hash	bigint	1988142726300133397
trace_moments	numeric[]	[0.026, 11.343, -0.651, 1329.756, 474.423, 243859.865]
trace_zratio	numeric	0.601
traces	numeric[]	[12, -2, 6, -2, 1, -1, 0, -2, -6, 1, 0, -1, 0, -7, 2, -2, 0, 1, 0, 1, 0, 0, -7, -1, 1, 0, -12, 0, 1,...
weight	smallint	1
weight_parity	smallint	-1

{'Nk2': 21168, 'analytic_conductor': 78.05952693759484, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1323, 1, [785, 1081], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 24940747816960000, 'field_disc_factorization': [[2, 20], [5, 4], [31, 2], [199, 2]], 'field_poly': [3136, 0, -4176, 0, 887, 0, -54, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [3136, 0, -4176, 0, 887, 0, -54, 0, 1]], [5, [86285521, 0, -7017984, 0, 108362, 0, -576, 0, 1]], [13, [-932864, 100608, 8328, 168, 1]]], 'hecke_orbit': 38, 'hecke_orbit_code': 166633186279818539, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 7, 'hecke_ring_index_factorization': [[7, 1]], 'hecke_ring_index_proved': True, 'id': 113864, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1323.4.a.bl', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '1323.4.a.bl', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(6-\\beta _{2}+\\beta _{4})q^{4}+(-\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1323.4.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 797154096758635498, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '7.130', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '274.131', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '15731.975', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.511', 'prec': 10}, 'traces': [8, 0, 0, 44, 0, 0, 0, 0, 0, -132, 0, 0, -336, 0, 0, 204, 0, 0, 288, 0, 0, 484, 0, 0, 152, 0, 0, 0, 0, 0, -120, 0, 0, -1008, 0, 0, 592, 0, 0, -1620, 0, 0, -1872, 0, 0, -1644, 0, 0, 0, 0, 0, -2400, 0, 0, -1344, 0, 0, -1200, 0, 0, -2400, 0, 0, -1388, 0, 0, 0, 0, 0, 0, 0, 0, -1824, 0, 0, -2844, 0, 0, 2368, 0, 0, -2436, 0, 0, 3512, 0, 0, 3780, 0, 0, 0, 0, 0, -4368, 0, 0, -5712, 0, 0, -528, 0, 0, 5400, 0, 0, 4840, 0, 0, -1656, 0, 0, 0, 0, 0, -6888, 0, 0, -1752, 0, 0, -920, 0, 0, 6804, 0, 0, -6640, 0, 0, 2624, 0, 0, 0, 0, 0, -20616, 0, 0, -3888, 0, 0, 372, 0, 0, -5568, 0, 0, -980, 0, 0, -3120, 0, 0, 0, 0, 0, -6816, 0, 0, 2724, 0, 0, -10464, 0, 0, -3432, 0, 0, 5560, 0, 0, -13736, 0, 0, 0, 0, 0, -6492, 0, 0, 5664, 0, 0, -6532, 0, 0, -13464, 0, 0, 2548, 0, 0, 13296, 0, 0, 0, 0, 0, -10368, 0, 0, -30816, 0, 0, 11816, 0, 0, 816, 0, 0, -10928, 0, 0, 18568, 0, 0, 0, 0, 0, -30684, 0, 0, -14640, 0, 0, 15376, 0, 0, -10848, 0, 0, 4432, 0, 0, 8464, 0, 0, 0, 0, 0, -21216, 0, 0, -31272, 0, 0, -26080, 0, 0, 10692, 0, 0, 1736, 0, 0, -32732, 0, 0, 0, 0, 0, -1992, 0, 0, 5472, 0, 0, 18752, 0, 0, -1920, 0, 0, 3688, 0, 0, -3968, 0, 0, 0, 0, 0, -30960, 0, 0, -30048, 0, 0, 30664, 0, 0, -192, 0, 0, -5216, 0, 0, -8872, 0, 0, 0, 0, 0, -30180, 0, 0, -23328, 0, 0, -42940, 0, 0, -32784, 0, 0, -3928, 0, 0, -33824, 0, 0, 0, 0, 0, -20496, 0, 0, -8460, 0, 0, 47344, 0, 0, 8304, 0, 0, 168, 0, 0, 53896, 0, 0, 0, 0, 0, 55596, 0, 0, -13776, 0, 0, -27588, 0, 0, -30288, 0, 0, -16512, 0, 0, 36800, 0, 0, 0, 0, 0, 4176, 0, 0, 42012, 0, 0, -30584, 0, 0, 8376, 0, 0, 12784, 0, 0, -66156, 0, 0, 0, 0, 0, 17520, 0, 0, 17784, 0, 0, 80312, 0, 0, -18720, 0, 0, -25416, 0, 0, 28112, 0, 0, 0, 0, 0, 8976, 0, 0, 50628, 0, 0, -2768, 0, 0, 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