Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T10:45:40.711543

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	3563732
analytic_conductor	double precision	7114.13582240254
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[890933, -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	[890933, 1, [2], [1]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	37306
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	9007199289186357
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	'890933.2.a.c'
level	integer	890933
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[]	[890933]
level_radical	integer	890933
minimal_twist	text	'890933.2.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	37306
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'890933.2.a'
trace_display	numeric[]	[152, 1046, 286, 907]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[37306, 152, 1046, 37670, 286, 291, 907, 456, 37672, 774, 484, 2083, 1083, 457, 594, 38390, 556, 747...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 7500, 'analytic_conductor': 38.62768771229049, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 4, 'char_parity': 1, 'char_values': [75, 4, [26, 52], [2, 1]], 'cm_discs': [-15], 'conrey_index': 32, 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [9, 0, 0, 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': [[2, [59049, 0, 0, 0, 1]], [7, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474300420171, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 81, 'hecke_ring_index_factorization': [[3, 4]], 'hecke_ring_index_proved': True, 'id': 14035, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, -15], [1, 2, 5, 3, -1, 4, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 3, 2, -1, 2, 0], [1, 2, 15, 5, 1, 4, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '75.10.e.c', 'level': 75, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '75.10.e.c', 'nf_label': '4.0.2304.2', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{1}q^{2}-9\\beta _{3}q^{3}-269\\beta _{2}q^{4}+3^{7}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '9.2.1.d4', 'self_twist_discs': [-15], 'self_twist_type': 1, 'space_label': '75.10.e', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1318207580352501464, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 4}, {'__RealLiteral__': 0, 'data': '3.717', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.798', 'prec': 14}, {'__RealLiteral__': 0, 'data': '170.450', 'prec': 20}, {'__RealLiteral__': 0, 'data': '130.315', 'prec': 20}, {'__RealLiteral__': 0, 'data': '8737.509', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.880', 'prec': 10}, 'traces': [4, 0, 0, 0, 0, 8748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32989472, 0, 0, 0, 0, -21178908, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30619944, 0, 0, 0, 0, 166876848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 791579528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1115076016, 0, 0, 0, 0, -1549681956, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3042703116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6772826016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9431790764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14481202032, 0, 0, 0, 0, -37308942792, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8020358432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53307918936, 0, 0, 0, 0, -81591231312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 83614143448, 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