Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-22T20:26:17.362256

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	189540
analytic_conductor	double precision	378.3711299778371
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[3, -1], [5, 1], [13, -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	[47385, 1, [37181, 28432, 29161], [5, 5, 5]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	57
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	-1
hecke_cutters	jsonb
hecke_orbit	integer	5
hecke_orbit_code	bigint	18014398543083801
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[]
is_cm	boolean	False
is_largest	boolean	False
is_maximal	boolean	False
is_polredabs	boolean
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean
label	text	'47385.2.a.e'
level	integer	47385
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	False
level_primes	integer[]	[3, 5, 13]
level_radical	integer	195
minimal_twist	text
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	57
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'47385.2.a'
trace_display	numeric[]	[-3, 0, -57, 3]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[57, -3, 0, 63, -57, 0, 3, -6, 0, 3, -9, 0, 57, -18, 0, 75, -6, 0, 18, -63, 0, -3, -36, 0, 57, -3, 0...
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': 56, 'char_orbit_label': 'cd', 'char_order': 4, 'char_parity': 1, 'char_values': [1040, 4, [911, 261, 417, 561], [4, 4, 1, 1]], 'cm_discs': [], 'conrey_index': 177, 'dim': 20, 'field_disc': 8397647632522491525894334226366464, 'field_disc_factorization': [[2, 26], [13, 4], [3593, 2], [18422347, 2]], 'field_poly': [256, 0, 3200, 0, 16016, 0, 41120, 0, 57952, 0, 45364, 0, 19956, 0, 4888, 0, 640, 0, 41, 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, [64, 1024, 8192, 31104, 63712, 37216, -1408, -5424, 74548, -2744, 104, 1316, 6340, 76, 2, 22, 145, 2, 0, 0, 1]], [7, [-4096, 2144, 5872, -1576, -2716, 332, 512, -18, -39, 0, 1]], [19, [14258176, -90140672, 284936192, 341221888, 218799680, -56743424, 69232640, 67378816, 33657312, -1782112, 1641856, 1552336, 747444, -19272, 7560, 6028, 2348, 20, 2, 2, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67557774015333392, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1024, 'hecke_ring_index_factorization': [[2, 10]], 'hecke_ring_index_proved': True, 'id': 101663, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 6, 1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1040.2.cd.p', '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': '520.2.w.f', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta _{3}q^{3}-\\beta _{15}q^{5}-\\beta _{2}q^{7}+(-\\beta _{1}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1040.2.cd', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1086359143225763195, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 7}, {'__RealLiteral__': 0, 'data': '17.211', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.379', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1431.223', 'prec': 24}, {'__RealLiteral__': 0, 'data': '3543.609', 'prec': 24}, {'__RealLiteral__': 0, 'data': '231648.101', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.250', 'prec': 10}, 'traces': [20, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, -10, 0, 6, 0, -2, 0, 6, 0, 14, 0, -14, 0, -6, 0, 0, 0, -10, 0, 0, 0, 16, 0, 4, 0, 32, 0, 28, 0, 0, 0, 2, 0, 20, 0, 16, 0, 0, 0, 20, 0, 48, 0, 0, 0, -14, 0, 12, 0, 0, 0, 12, 0, 0, 0, -24, 0, 48, 0, 0, 0, -22, 0, 12, 0, 0, 0, -4, 0, -16, 0, 0, 0, 0, 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0, -156, 0, -48, 0, -64, 0, -20, 0, 0, 0, -272, 0, -108, 0, 256, 0, -104, 0, 420, 0, -212, 0, 130, 0, 88, 0, 0, 0, -356, 0, 128, 0, -272, 0, -108, 0, -44, 0, -68, 0, 172, 0, 182, 0, 116, 0, 0, 0, 12, 0, 0, 0, -52, 0, -104, 0, -112, 0, 4, 0, 6, 0, -24, 0, -348, 0, 12, 0], 'weight': 2, 'weight_parity': 1}