Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T07:50:34.686696

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	1129756
analytic_conductor	double precision	2255.286769648841
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[282439, 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	[282439, 1, [3], [1]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	11568
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	1
hecke_orbit_code	bigint	33836871
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	'282439.2.a.a'
level	integer	282439
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[]	[282439]
level_radical	integer	282439
minimal_twist	text	'282439.2.a.a'
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	11568
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'282439.2.a'
trace_display	numeric[]	[-225, -106, -269, -105]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[11568, -225, -106, 11369, -269, -181, -105, -669, 10774, -199, -488, -315, -263, -528, -343, 10975,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 8100, 'analytic_conductor': 16.169706409309278, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2025, 1, [326, 1702], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 17424, 'field_disc_factorization': [[2, 4], [3, 2], [11, 2]], 'field_poly': [4, 0, -7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4, 0, -7, 0, 1]], [7, [-12, 0, 1]], [11, [-6, 3, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835707369, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'id': 139199, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2025.2.a.w', 'level': 2025, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '405.2.b.a', 'nf_label': '4.4.17424.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+(-\\beta _{1}-\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2025.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1619465026796111810, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.035', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.808', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.474', 'prec': 10}, {'__RealLiteral__': 0, 'data': '72.757', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.969', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1934.958', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.514', 'prec': 10}, 'traces': [4, 0, 0, 6, 0, 0, 0, 0, 0, 0, -6, 0, 0, -12, 0, 14, 0, 0, 10, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 14, 0, 0, 14, 0, 0, 0, 0, 0, 0, 6, 0, 0, 24, 0, 28, 0, 0, 20, 0, 0, 0, 0, 0, 0, -60, 0, 0, 18, 0, 26, 0, 0, 2, 0, 0, 0, 0, 0, 0, 18, 0, 0, -42, 0, 48, 0, 0, 4, 0, 0, 0, 0, 0, 0, 12, 0, 0, -12, 0, 12, 0, 0, -40, 0, 0, 0, 0, 0, 0, -54, 0, 0, 18, 0, -8, 0, 0, 16, 0, 0, 0, 0, 0, 0, 66, 0, 0, -12, 0, -2, 0, 0, -12, 0, 0, 0, 0, 0, 0, 6, 0, 0, 60, 0, 26, 0, 0, 10, 0, 0, 0, 0, 0, 0, -42, 0, 0, 54, 0, 38, 0, 0, -48, 0, 0, 0, 0, 0, 0, -24, 0, 0, -24, 0, -8, 0, 0, 50, 0, 0, 0, 0, 0, 0, 12, 0, 0, -54, 0, 2, 0, 0, 52, 0, 0, 0, 0, 0, 0, 42, 0, 0, -96, 0, 30, 0, 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