Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-22T20:26:17.468877

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	51988
analytic_conductor	double precision	103.78156750705811
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[41, 1], [317, -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	[12997, 1, [2220, 4757], [3, 3]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	270
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	3
hecke_orbit_code	bigint	9007199288308421
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	'12997.2.a.c'
level	integer	12997
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[]	[41, 317]
level_radical	integer	12997
minimal_twist	text	'12997.2.a.c'
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	270
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'12997.2.a'
trace_display	numeric[]	[21, 40, 17, 25]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[270, 21, 40, 283, 17, 15, 25, 63, 296, 4, 82, 81, 25, 48, 68, 313, 42, 56, 36, 57, 16, 59, 140, 33,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 84, 'char_orbit_label': 'df', 'char_order': 6, 'char_parity': 1, 'char_values': [1040, 6, [911, 261, 417, 561], [6, 6, 3, 5]], 'cm_discs': [], 'conrey_index': 49, 'dim': 8, 'field_disc': 49787136, 'field_disc_factorization': [[2, 8], [3, 4], [7, 4]], 'field_poly': [16, 0, 12, 0, 5, 0, 3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, -1, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4509303377495056, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'id': 101675, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 65, 12, 1, 6, 0], [1, 1, 13, 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': '1040.2.df.b', 'level': 1040, '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, 13], 'level_radical': 130, 'minimal_twist': '65.2.l.a', 'nf_label': '8.0.49787136.1', 'prim_orbit_index': 12, 'qexp_display': 'q+\\beta _{2}q^{3}+(-1+\\beta _{2}+\\beta _{3}-\\beta _{6})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1040.2.df', 'trace_display': [0, 0, 0, 0], 'trace_hash': 658436083533693319, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '7.140', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.817', 'prec': 10}, {'__RealLiteral__': 0, 'data': '381.635', 'prec': 20}, {'__RealLiteral__': 0, 'data': '191.705', 'prec': 20}, {'__RealLiteral__': 0, 'data': '31054.410', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.601', 'prec': 10}, 'traces': [8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -20, 0, 0, 0, 0, 0, 12, 0, 0, 0, 16, 0, 0, 0, 0, 0, 14, 0, 0, 0, 60, 0, 24, 0, 0, 0, -24, 0, 0, 0, 0, 0, -12, 0, 0, 0, 8, 0, 0, 0, -48, 0, -4, 0, 0, 0, 42, 0, 0, 0, 48, 0, 12, 0, 0, 0, 6, 0, 0, 0, 0, 0, -36, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -48, 0, 24, 0, 0, 0, 0, 0, 0, 0, 32, 0, -24, 0, 0, 0, -42, 0, 0, 0, -24, 0, 0, 0, 0, 0, -96, 0, 0, 0, -12, 0, 0, 0, 0, 0, 14, 0, 0, 0, 88, 0, -24, 0, 0, 0, -24, 0, 0, 0, -36, 0, -40, 0, 0, 0, -42, 0, 0, 0, -60, 0, -48, 0, 0, 0, 18, 0, 0, 0, -24, 0, 48, 0, 0, 0, 14, 0, 0, 0, 0, 0, 36, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 18, 0, 0, 0, -128, 0], 'weight': 2, 'weight_parity': 1}