Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T22:19:47.605630

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	2076428
analytic_conductor	double precision	4145.09026420608
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[519107, -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	[519107, 1, [2], [1]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	1
embedded_related_objects	text[]
field_disc	numeric	1
field_disc_factorization	numeric[]	[]
field_poly	numeric[]	[0, 1]
field_poly_is_cyclotomic	boolean	False
field_poly_is_real_cyclotomic	boolean	False
field_poly_root_of_unity	integer	0
fricke_eigenval	smallint	-1
has_non_self_twist	smallint	0
hecke_cutters	jsonb
hecke_orbit	integer	1
hecke_orbit_code	bigint	34073539
hecke_ring_generator_nbound	integer	1
hecke_ring_index	numeric	1
hecke_ring_index_factorization	numeric[]	[]
hecke_ring_index_proved	boolean	True
inner_twist_count	integer	1
inner_twists	integer[]	[[1, 1, 1, 1, 1, 1, 1]]
is_cm	boolean	False
is_largest	boolean	False
is_maximal	boolean	False
is_polredabs	boolean	True
is_rm	boolean	False
is_self_dual	boolean	True
is_self_twist	boolean	False
is_twist_minimal	boolean	True
label	text	'519107.2.a.a'
level	integer	519107
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[]	[519107]
level_radical	integer	519107
minimal_twist	text	'519107.2.a.a'
nf_label	text	'1.1.1.1'
prim_orbit_index	smallint	1
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text	'q+q^{3}-2q^{4}+2q^{5}-2q^{9}+3q^{11}+\\cdots'
related_objects	text[]	['EllipticCurve/Q/519107/a']
relative_dim	integer	1
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'519107.2.a'
trace_display	numeric[]	[0, 1, 2, 0]
trace_hash	bigint	753761082911368663
trace_moments	numeric[]	[0.003, 0.996, 0.015, 1.997, -0.006, 4.985]
trace_zratio	numeric	0.010
traces	numeric[]	[1, 0, 1, -2, 2, 0, 0, 0, -2, 0, 3, -2, -5, 0, 2, 4, -6, 0, -7, -4, 0, 0, 1, 0, -1, 0, -5, 0, 1, 0, ...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 28800, 'analytic_conductor': 57.492289455321874, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 60, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 2, 'char_parity': 1, 'char_values': [7200, 2, [6751, 901, 6401, 577], [1, 2, 1, 1]], 'cm_discs': [], 'conrey_index': 7199, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [-4, 1]], [11, [-32, 0, 1]], [17, [-18, 0, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547757262052384, 'hecke_ring_generator_nbound': 29, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'id': 239073, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 20, 4, -1, 2, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 60, 8, 1, 2, 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': '7200.2.o.n', 'level': 7200, 'level_is_powerful': True, '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, 5], 'level_radical': 30, 'minimal_twist': '288.2.c.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 8, 'qexp_display': 'q+4 q^{7}+4\\beta_{3} q^{11}+2\\beta_1 q^{13}-3\\beta_{3} q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7200.2.o', 'trace_display': [0, 0, 0, 16], 'trace_hash': 819701064580427902, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.668', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '115.198', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '4593.741', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.761', 'prec': 10}, 'traces': [4, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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