Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T23:40:59.069020

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	191960
analytic_conductor	double precision	383.2020793001246
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[2, -1], [5, 1], [4799, 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	[47990, 1, [19197, 28801], [11, 11]]
cm_discs	integer[]	[]
conrey_index	integer	1
dim	integer	216
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	11
hecke_orbit_code	bigint	45035996307307382
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	'47990.2.a.k'
level	integer	47990
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	True
level_primes	integer[]	[2, 5, 4799]
level_radical	integer	47990
minimal_twist	text	'47990.2.a.k'
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	216
rm_discs	integer[]	[]
sato_tate_group	text	'1.2.3.c1'
self_twist_discs	integer[]	[]
self_twist_type	smallint	0
space_label	text	'47990.2.a'
trace_display	numeric[]	[216, 11, -216, 25]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]	[216, 216, 11, 216, -216, 11, 25, 216, 245, -216, 37, 11, 16, 25, -11, 216, 51, 245, 59, -216, 14, 3...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 3552, 'analytic_conductor': 7.0907156994896985, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [37, -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': [888, 1, [223, 445, 593, 409], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 41, 'field_disc_factorization': [[41, 1]], 'field_poly': [-10, -1, 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': 0, 'hecke_cutters': [[5, [0, 1]], [7, [-8, -3, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425148792, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 90585, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '888.2.a.h', 'level': 888, '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, 37], 'level_radical': 222, 'minimal_twist': '888.2.a.h', 'nf_label': '2.2.41.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(1+\\beta )q^{7}+q^{9}+(1+\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '888.2.a', 'trace_display': [0, 2, 0, 3], 'trace_hash': 752121235254054355, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.995', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '9.639', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '65.799', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 7}, 'traces': [2, 0, 2, 0, 0, 0, 3, 0, 2, 0, 3, 0, 1, 0, 0, 0, 5, 0, -3, 0, 3, 0, 9, 0, -10, 0, 2, 0, 16, 0, -6, 0, 3, 0, 0, 0, 2, 0, 1, 0, 4, 0, 8, 0, 0, 0, -10, 0, 11, 0, 5, 0, 7, 0, 0, 0, -3, 0, -6, 0, 12, 0, 3, 0, 0, 0, -18, 0, 9, 0, 4, 0, -13, 0, -10, 0, 25, 0, -2, 0, 2, 0, -13, 0, 0, 0, 16, 0, 1, 0, -19, 0, -6, 0, 0, 0, -8, 0, 3, 0, 12, 0, -14, 0, 0, 0, 5, 0, -9, 0, 2, 0, -6, 0, 0, 0, 1, 0, -13, 0, 3, 0, 4, 0, 0, 0, 9, 0, 8, 0, -16, 0, -25, 0, 0, 0, 18, 0, 2, 0, -10, 0, -19, 0, 0, 0, 11, 0, 28, 0, -23, 0, 5, 0, 0, 0, 2, 0, 7, 0, -7, 0, -5, 0, 0, 0, -21, 0, -5, 0, -3, 0, 29, 0, -15, 0, -6, 0, -18, 0, -18, 0, 12, 0, 0, 0, -13, 0, 3, 0, -7, 0, -12, 0, 0, 0, -11, 0, 28, 0, -18, 0, 24, 0, 0, 0, 9, 0, -25, 0, -24, 0, 4, 0, 0, 0, -50, 0, -13, 0, 23, 0, 8, 0, -10, 0, 22, 0, -2, 0, 25, 0, 0, 0, 0, 0, -2, 0, -10, 0, -46, 0, 2, 0, 0, 0, 19, 0, -13, 0, -28, 0, -7, 0, 0, 0, -7, 0, 3, 0, 16, 0, -46, 0, 0, 0, 1, 0, 9, 0, 0, 0, -19, 0, -15, 0, 11, 0, -6, 0, -35, 0, 3, 0, 0, 0, 6, 0, -1, 0, -8, 0, 23, 0, 0, 0, 3, 0, 25, 0, 12, 0, 12, 0, 0, 0, -20, 0, -14, 0, 14, 0, 24, 0, 0, 0, -24, 0, 24, 0, 5, 0, 13, 0, -5, 0, -9, 0, 26, 0, 20, 0, 2, 0, 0, 0, -41, 0, -6, 0, -50, 0, 57, 0, 0, 0, 24, 0, -4, 0, 1, 0, -38, 0, 0, 0, -13, 0, -6, 0, -13, 0, 3, 0, 0, 0, 35, 0, 4, 0, 31, 0, 14, 0, 0, 0, 8, 0, 36, 0, 9, 0, 3, 0, 0, 0, 8, 0, -2, 0, 43, 0, -16, 0, 0, 0, 58, 0, -25, 0, 29, 0, 38, 0, 0, 0, 3, 0, -8, 0, 18, 0, 32, 0, 0, 0, 2, 0, 41, 0, 24, 0, -10, 0, -25, 0, 18, 0, -19, 0, -1, 0, -11, 0, 0, 0, 7, 0, 22, 0, 11, 0, 8, 0, 0, 0, 28, 0, 46, 0, 6, 0, -23, 0, 0, 0, 38, 0, 5, 0, -18, 0, -18, 0, 0, 0, -24, 0, 14, 0, 2, 0, 12, 0, 15, 0, 7, 0, -53, 0, 1, 0, -7, 0, 0, 0, 34, 0, -5, 0, 7, 0, 40, 0, 0, 0, -76, 0, -13, 0, -21, 0, -2, 0, 0, 0, -5, 0, 43, 0, -81, 0, -3, 0, 0, 0, 26, 0, 29, 0, -36, 0, 44, 0, -15, 0, 26, 0, 15, 0, -6, 0, 2, 0, 0, 0, -18, 0, 78, 0, 45, 0, -18, 0, 0, 0, 43, 0, 12, 0, -24, 0, 38, 0, 0, 0, 10, 0, 4, 0, -13, 0, 54, 0, 0, 0, 3, 0, 47, 0, -32, 0, -7, 0, -45, 0, -48, 0, -12, 0, 1, 0, 31, 0, 0, 0, 42, 0, 50, 0, -11, 0, 2, 0, 0, 0, 28, 0, -14, 0, -75, 0, -18, 0, 0, 0, -38, 0, 24, 0, -46, 0, -16, 0, 0, 0, -2, 0, -22, 0, 9, 0, -101, 0, 50, 0, -25, 0, 5, 0, -56, 0, -24, 0, 0, 0, -56, 0, 4, 0, -26, 0, 1, 0, 0, 0, 17, 0, 32, 0, -50, 0, 12, 0, 0, 0, -13, 0, -80, 0, 29, 0, 23, 0, 0, 0, 72, 0, 8, 0, 18, 0, 43, 0, -10, 0, -39, 0, 70, 0, 22, 0, 4, 0, 0, 0, -2, 0, -17, 0, -60, 0, 25, 0, 0, 0, 10, 0, 0, 0, -12, 0, -3, 0, 0, 0, 18, 0, 33, 0, -2, 0, 14, 0, 0, 0, -10, 0, -28, 0, -62, 0, -46, 0, -80, 0, 48, 0, 2, 0, 20, 0, -68, 0, 0, 0, 14, 0, -6, 0, 19, 0, 0, 0, 0, 0, -13, 0, -13, 0, 16, 0, -28, 0, 0, 0, -1, 0, -7, 0, -28, 0, 7, 0, 0, 0, -44, 0, 34, 0, -7, 0, 13, 0, 30, 0, 3, 0, -6, 0, -76, 0, 16, 0, 0, 0, -46, 0, -46, 0, -50, 0, 6, 0, 0, 0, 28, 0, -66, 0, 1, 0, -81, 0, 0, 0, 9, 0, 5, 0, 48, 0, 0, 0, 0, 0, -12, 0, -19, 0, -45, 0, -35, 0, -15, 0, 80, 0, 11, 0, 11, 0, -34, 0, 0, 0, -6, 0, -24, 0, 70, 0, -35, 0, 0, 0, 66, 0, 3, 0, 9, 0, 9, 0, 0, 0, 55, 0, -69, 0, 6, 0, -14, 0, 0, 0, -1, 0, 38, 0, -50, 0, -8, 0, 0, 0, 40, 0, 23, 0, 22, 0, 3, 0, 0, 0, 22, 0, 75, 0, 3, 0, -26, 0, 0, 0, 25, 0, -48, 0, -3, 0, 12, 0, 0, 0, -41, 0, 12, 0, -34, 0, 1, 0, 0, 0, -106, 0, -38, 0, -20, 0, 84, 0, -10, 0, -14, 0, -60, 0, -78, 0, 14, 0, 0, 0, 0, 0, 24, 0, -44, 0, 18, 0, 0, 0, 40, 0, 55, 0, -24, 0, 6, 0, 0, 0, 24, 0, 68, 0, 38, 0, 5, 0, 0, 0, 20, 0, 13, 0, 20, 0, -38, 0, -5, 0, 69, 0, -101, 0, -9, 0, 66, 0, 0, 0, 26, 0, 36, 0, -112, 0, 20, 0, 0, 0, 3, 0, 2, 0], 'weight': 2, 'weight_parity': 1}