Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-24T22:48:09.630862

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	2240
analytic_conductor	double precision	4.471622513191702
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	28
char_degree	integer	2
char_is_minimal	boolean	True
char_is_real	boolean	False
char_orbit_index	smallint	45
char_orbit_label	text	'bs'
char_order	integer	6
char_parity	smallint	1
char_values	jsonb	[560, 6, [351, 421, 337, 241], [3, 6, 6, 1]]
cm_discs	integer[]	[]
conrey_index	integer	31
dim	integer	12
embedded_related_objects	text[]
field_disc	numeric	140622552010653696
field_disc_factorization	numeric[]	[[2, 16], [3, 6], [227, 2], [239, 2]]
field_poly	numeric[]	[657, -2196, 4737, -6318, 6526, -4844, 3039, -1394, 572, -160, 43, -6, 1]
field_poly_is_cyclotomic	boolean	False
field_poly_is_real_cyclotomic	boolean	False
field_poly_root_of_unity	integer	0
fricke_eigenval	smallint
has_non_self_twist	smallint	1
hecke_cutters	jsonb	[[3, [64, 352, 2104, -508, 1489, -494, 824, -272, 175, -28, 16, -2, 1]]]
hecke_orbit	integer	3
hecke_orbit_code	bigint	9010222945272368
hecke_ring_generator_nbound	integer	5
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, 28, 6, 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	'560.2.bs.c'
level	integer	560
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, 5, 7]
level_radical	integer	70
minimal_twist	text	'560.2.bs.b'
nf_label	text
prim_orbit_index	smallint	6
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text	'q+(-\\beta _{3}+\\beta _{4}+\\beta _{8})q^{3}-\\beta _{4}q^{5}+(\\beta _{3}+\\cdots)q^{7}+\\cdots'
related_objects	text[]	[]
relative_dim	integer	6
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c6'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'560.2.bs'
trace_display	numeric[]	[0, 2, 0, -2]
trace_hash	bigint	468491386708227416
trace_moments	numeric[]	[0.000, 11.090, 0.000, 496.527, 181.132, 36757.743]
trace_zratio	numeric	0.182
traces	numeric[]	[12, 0, 2, 0, 0, 0, -2, 0, -10, 0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 12, 0, -18, 0, 6, 0, 20, 0, 16, 0, ...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 8664, 'analytic_conductor': 17.29559707780933, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [19, -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': [2166, 1, [1445, 1807], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [1, 9, 6, 1]], [7, [57, -18, -3, 1]], [13, [-1, 3, 6, 1]], [29, [1, 9, 6, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444114038, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 143920, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2166.2.a.p', 'level': 2166, '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.i.c', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+(-2+\\beta _{1})q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2166.2.a', 'trace_display': [-3, 3, -6, 3], 'trace_hash': 346499382775351071, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '2.737', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '20.883', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '229.730', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 7}, 'traces': [3, -3, 3, 3, -6, -3, 3, -3, 3, 6, 0, 3, -6, -3, -6, 3, -6, -3, 0, -6, 3, 0, 6, -3, 3, 6, 3, 3, -6, 6, -15, -3, 0, 6, -21, 3, 3, 0, -6, 6, -9, -3, 9, 0, -6, -6, -9, 3, 24, -3, -6, -6, -27, -3, 12, -3, 0, 6, -18, -6, 3, 15, 3, 3, 12, 0, -12, -6, 6, 21, -21, -3, 15, -3, 3, 0, -21, 6, -15, -6, 3, 9, -3, 3, 15, -9, -6, 0, -3, 6, -15, 6, -15, 9, 0, -3, -12, -24, 0, 3, -3, 6, 3, 6, -21, 27, -9, 3, -33, -12, 3, 3, -6, 0, -12, -6, -6, 18, -18, 6, 9, -3, -9, -15, 3, -3, -24, -3, 9, -12, -6, 0, 0, 12, -6, 6, 9, -6, -27, -21, -9, 21, -18, 3, 9, -15, 24, 3, -6, -3, -24, 0, -6, 21, 27, -6, -18, 15, -27, 6, -21, -3, 6, -9, 12, 3, 24, -3, -9, -15, 0, 9, 15, 6, 51, 0, -18, 3, -15, -6, 18, 15, 3, -6, 18, 15, -3, -9, 3, 0, 0, 3, 21, 12, 12, 24, 3, 0, 24, -3, -12, 3, -3, -6, 21, -3, 6, -6, 0, 21, 15, -27, -21, 9, 6, -3, -12, 33, 15, 12, 21, -3, -45, -3, 3, 6, 27, 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