Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T11:27:54.469676

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	2542636
analytic_conductor	double precision	5075.7626698445065
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[635659, -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	[635659, 1, [2], [1]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	26686
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	2
hecke_orbit_code	bigint	4503599661560587
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	'635659.2.a.b'
level	integer	635659
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[]	[635659]
level_radical	integer	635659
minimal_twist	text	'635659.2.a.b'
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	26686
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'635659.2.a'
trace_display	numeric[]	[207, 196, 1003, 207]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[26686, 207, 196, 26983, 1003, 369, 207, 615, 27484, 226, 1157, 582, 326, 841, 682, 27577, 750, 606,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 4032, 'analytic_conductor': 8.048920523745062, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 3, 'char_parity': 1, 'char_values': [1008, 3, [127, 757, 785, 577], [3, 3, 1, 3]], 'cm_discs': [], 'conrey_index': 337, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 0, 3, -2, 9, -3, 1]], [11, [81, 81, 81, 18, 9, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029965283623920, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'id': 99850, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 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': '1008.2.r.i', 'level': 1008, '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, 7], 'level_radical': 42, 'minimal_twist': '504.2.r.c', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta_{5}+\\beta_{4})q^{3}+(-\\beta_{5}+\\beta_{3}-\\beta_{2}+\\cdots+1)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1008.2.r', 'trace_display': [0, 0, 3, 3], 'trace_hash': 1926349621114017257, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 7}, {'__RealLiteral__': 0, 'data': '5.759', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '120.919', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '4416.903', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 7}, 'traces': [6, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, -9, 0, 12, 0, 18, 0, 0, 0, 6, 0, 6, 0, 27, 0, 3, 0, -9, 0, -18, 0, 6, 0, -30, 0, -18, 0, -6, 0, -15, 0, 9, 0, 9, 0, -3, 0, -9, 0, -12, 0, 0, 0, 27, 0, 3, 0, 12, 0, 0, 0, -15, 0, -12, 0, -27, 0, -42, 0, 6, 0, -9, 0, 0, 0, -15, 0, 0, 0, -6, 0, 15, 0, 9, 0, -36, 0, 6, 0, 9, 0, -6, 0, -15, 0, 0, 0, 9, 0, -6, 0, -9, 0, 6, 0, -18, 0, -27, 0, 12, 0, -9, 0, 18, 0, 6, 0, 15, 0, 27, 0, 12, 0, 60, 0, 18, 0, 3, 0, 9, 0, 0, 0, 33, 0, -3, 0, -27, 0, 0, 0, -36, 0, 0, 0, 18, 0, -3, 0, 0, 0, 21, 0, -9, 0, 18, 0, 12, 0, 12, 0, 9, 0, 21, 0, 12, 0, 36, 0, 27, 0, -6, 0, -63, 0, 6, 0, 42, 0, 9, 0, -3, 0, -9, 0, 27, 0, -9, 0, 9, 0, -18, 0, -102, 0, 36, 0, 54, 0, -3, 0, 24, 0, 72, 0, -9, 0, -21, 0, -36, 0, -54, 0, -18, 0, -45, 0, 24, 0, -3, 0, 45, 0, 33, 0, 45, 0, -9, 0, 18, 0, 12, 0, 45, 0, 39, 0, 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