Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-25T00:47:17.555102

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	87864
analytic_conductor	double precision	175.3993930799445
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[2, 1], [3, -1], [7, -1], [523, -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	[21966, 1, [14645, 3139, 5755], [23, 23, 23]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	36
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]
field_poly_is_cyclotomic	boolean
field_poly_is_real_cyclotomic	boolean
field_poly_root_of_unity	integer
fricke_eigenval	smallint	-1
has_non_self_twist	smallint	0
hecke_cutters	jsonb
hecke_orbit	integer	23
hecke_orbit_code	bigint	99079191835727310
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
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
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean	True
label	text	'21966.2.a.w'
level	integer	21966
level_is_powerful	boolean
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean
level_is_square	boolean	False
level_is_squarefree	boolean	True
level_primes	integer[]	[2, 3, 7, 523]
level_radical	integer	21966
minimal_twist	text	'21966.2.a.w'
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
related_objects	text[]	[]
relative_dim	integer	36
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'21966.2.a'
trace_display	numeric[]	[-36, 36, 12, 36]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[36, -36, 36, 36, 12, -36, 36, -36, 36, -12, 18, 36, -2, -36, 12, 36, 29, -36, 4, 12, 36, -18, 36, -...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 5328, 'analytic_conductor': 10.636073549234547, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 35, 'char_orbit_label': 'bi', 'char_order': 6, 'char_parity': 1, 'char_values': [1332, 6, [667, 1037, 1297], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 397, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [12, -6, 1]], [7, [1, 1, 1]], [11, [6, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22520334632617268, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 114235, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 5, 1, 6, 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': '1332.2.bi.f', 'level': 1332, '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, 37], 'level_radical': 222, 'minimal_twist': '444.2.r.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(4-2\\zeta_{6})q^{5}-\\zeta_{6}q^{7}-6q^{11}+(2+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1332.2.bi', 'trace_display': [0, 0, 6, -1], 'trace_hash': 49867609479733874, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 4}, {'__RealLiteral__': 0, 'data': '1.926', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '11.222', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '92.935', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.187', 'prec': 10}, 'traces': [2, 0, 0, 0, 6, 0, -1, 0, 0, 0, -12, 0, 3, 0, 0, 0, -12, 0, 6, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, -10, 0, 0, 0, 12, 0, 0, 0, 0, 0, -24, 0, 6, 0, 0, 0, 6, 0, -36, 0, 0, 0, 6, 0, 12, 0, 0, 0, 6, 0, 5, 0, 0, 0, 0, 0, 14, 0, 0, 0, 6, 0, 3, 0, 0, 0, 12, 0, -48, 0, 0, 0, -18, 0, -3, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21, 0, 0, 0, 24, 0, -12, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 5, 0, 0, 0, -18, 0, -24, 0, 0, 0, 36, 0, -17, 0, 0, 0, -6, 0, -13, 0, 0, 0, -6, 0, 30, 0, 0, 0, -12, 0, -10, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 5, 0, 0, 0, -42, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 72, 0, 0, 0, -36, 0, -26, 0, 0, 0, 42, 0, -3, 0, 0, 0, -24, 0, 34, 0, 0, 0, -6, 0, -5, 0, 0, 0, 24, 0, -72, 0, 0, 0, -24, 0, -3, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -1, 0, 0, 0, 18, 0, 0, 0, 0, 0, 24, 0, 29, 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