Database - mf_newforms

Formats: - HTML - YAML - JSON - 2026-10-23T06:38:56.620638

Query: /api/mf_newforms/?_offset=0

Table mf_newforms

Galois orbits of newforms

Column	Type	Example
Nk2	integer	11568
analytic_conductor	double precision	23.092736264554286
analytic_rank	smallint	1
analytic_rank_proved	boolean	True
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]	[[2, -1], [3, -1], [241, 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	[2892, 1, [1447, 965, 1453], [1, 1, 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	[[5, [-2, 1]]]
hecke_orbit	integer	2
hecke_orbit_code	bigint	4503599660927820
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	'2892.2.a.b'
level	integer	2892
level_is_powerful	boolean	False
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	False
level_primes	integer[]	[2, 3, 241]
level_radical	integer	1446
minimal_twist	text	'2892.2.a.b'
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^{5}-2q^{7}+q^{9}-5q^{11}+\\cdots'
related_objects	text[]	['EllipticCurve/Q/2892/b']
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	'2892.2.a'
trace_display	numeric[]	[0, 1, 2, -2]
trace_hash	bigint	723736132132002004
trace_moments	numeric[]	[0.000, 0.996, 0.017, 1.986, 0.079, 4.932]
trace_zratio	numeric	0.017
traces	numeric[]	[1, 0, 1, 0, 2, 0, -2, 0, 1, 0, -5, 0, -2, 0, 2, 0, -2, 0, -2, 0, -2, 0, 3, 0, -1, 0, 1, 0, 0, 0, 4,...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 1860, 'analytic_conductor': 0.9282609234973844, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1860, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 6, 'char_parity': -1, 'char_values': [1860, 6, [931, 1241, 1117, 1801], [3, 3, 3, 1]], 'cm_discs': [-15], 'conrey_index': 119, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[17, [3, -3, 1]], [19, [3, -3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 2061601081156, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 133479, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, -15], [1, 1, 124, 7, 1, 6, 0], [1, 1, 1860, 31, -1, 6, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '1860.1.be.a', 'level': 1860, '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, 5, 31], 'level_radical': 930, 'minimal_twist': '1860.1.be.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 31, 'projective_field': [-6975, 0, -930, 0, -31, 0, 1], 'projective_field_label': '6.2.412259774400.1', 'projective_image': 'D6', 'projective_image_type': 'Dn', 'qexp_display': 'q+\\zeta_{6}^{2}q^{2}+\\zeta_{6}^{2}q^{3}-\\zeta_{6}q^{4}+\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-15], 'self_twist_type': 1, 'space_label': '1860.1.be', 'trace_display': [-1, -1, 1, 0], 'trace_hash': 986494873861262754, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.012', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.973', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.023', 'prec': 7}, {'__RealLiteral__': 0, 'data': '18.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.914', 'prec': 14}, {'__RealLiteral__': 0, 'data': '205.086', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.644', 'prec': 10}, 'traces': [2, -1, -1, -1, 1, -1, 0, 2, -1, -2, 0, 2, 0, 0, -2, -1, 3, 2, 3, 1, 0, 0, -4, -1, -1, 0, 2, 0, 0, 1, -2, -1, 0, -3, 0, -1, 0, -3, 0, 1, 0, 0, 0, 0, 1, 2, 0, -1, 1, -1, -3, 0, 0, -1, 0, 0, -3, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, -2, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, -3, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, -4, 0, 0, 0, -1, 0, -2, 0, 0, 0, 0, -2, -1, 3, 0, 1, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 3, -3, 2, 2, 0, -3, 0, 0, 2, 0, 0, -2, 0, 0, 2, 4, 3, 0, 0, -1, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 2, 1, 0, 1, -3, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 3, -4, 0, 1, 0, 3, 0, -3, 0, -1, 0, 0, 0, 1, 3, 0, 1, -1, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 3, 3, 0, 4, 0, 0, -2, 0, -3, 0, 1, 0, 0, 1, 3, -1, -1, -3, -1, 0, 0, -2, 2, 1, 0, 0, 0, 0, -3, -1, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, -3, 0, 0, 0, -4, 0, -1, 1, 0, 0, 3, 0, 0, -3, 0, 0, -1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, -2, 0, -3, 3, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 1, 0, 0, 1, 0, 0, 3, 2, 0, 0, 2, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0, 1, 2, 3, 0, 3, 0, 0, 4, -4, 1, 0, 2, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 1, 2, 0, -1, 0, 0, -3, 0, 2, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -6, 1, 0, 0, 2, 0, 0, -2, 0, -1, 0, 0, 0, 0, -2, 0, 0, -3, -3, 0, 0, 0, 0, -4, 1, 0, -1, 0, 0, 0, -1, 0, 3, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, -6, 0, 0, 0, 1, 0, 3, 0, 0, 0, 0, 0, 0, -1, 0, -1, -2, 0, 0, -3, 0, 0, 3, -2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, -2, -3, 0, 0, 0, 0, 1, 0, -3, 0, 2, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 3, 0, 2, 3, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 1, -3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, -2, 0, 0, 3, -3, 0, 0, 2, 0, 0, 0, -1, 0, -2, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 3, 2, 0, 0, 0, 2, -1, 0, -4, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -3, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -1, -3, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 2, 0, -2, -1, -4, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -6, -2, -1, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 1, -2, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, -2, 0, -1, 0, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, -2, -3, 2, 0, 1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, -4, -3, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 2, 0, 0, 1, 0, 0, 0, 4, 1, 0, 0, -1, 0, 0, 1, 3, -3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0, 2, -1, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 6, 0, -2, 0, 0, 0, -3, 1, -1, 0, 0, 0, 0, 0, 1, 3, 0, -3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, -1, 2, 0, 1, 0, 0, 0, -1, 2, 0, -2, 0, 0, 0, -2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, -1, 0, 0, 0, 1, -1, -2, 0, -4, 0, 0, 0, 0, -4, 0, 6, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -2, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -6, 0, 0, -1, 0, 0, 0, 3, 2, 0, 0, 2, 2, 0, 1, 0, 3, 0, 0, 0, 0, 0, 2, 1, -2, 0, -1, -1, 0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, -3, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, 3, 2, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -3, 1, 0, 3, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, -4, -1, 0, 0, 0, 3, 2, 4, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, -3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, -3, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -2, 6, 1, -3, -2, 0, 3, 0, 0, 0, -3, 0, 0, -1, -1, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 0, 0, 0, 4, 0, 1, 0, 0, 0, 0, 1, 3, -4, 0, 0, -3, 0, 0, -3, 0, -2, 0, 3, 0, 0, 0, -1, 0, 3, 2, 0, 0, 0, 1, 0, -1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 3, 3, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -4, 0, 0, 6, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, -2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, -1, 0, 0, -2, -3, 0, -3, 0, 0, 0, 3, -1, 0, 1, 3, 0, 0, 2, 0, 0, 0, -3, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, -2, 0, 0, 0, -1, -1, 0, 0, 2, 0, 0, -2, 3, -3, -2, 3, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, -3, -2, 0, 0, 0, 3, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, -1, -3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 2, -1, 3, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -3, 0, -1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 3, 0, 0, 4, 0, 1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, 0, 3, 0, -2, 0, 0, 0, 0, 0, -3, -1, 2, -3, -1, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0, 0, -1, 0, -3, 0, 0, 1, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, -1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -4, 0, 1, 0, 0, -2, 0, 0, 3, 0, 0, 0, 0, -3, -3, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -3, -3, 0, -3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 3, 0, -2, 0, 0, 2, 0, 0, 0, 4, 0, 0, 1, 3, -2, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -3, 0, -1, 0, 2, 0, -6, 0, 0, 0, 1, 0, 0, -1, -2, -3, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 1, 0, 0, 0, 3, 0, -2, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -2, -3, 0, -1, 0, 0, 0, 0, 1, -1, 0, -4, 0, 0, 0, -2, 0, 0, 0, -3, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, -2, -2, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, -4, -3, 0, -4, 1], 'weight': 1, 'weight_parity': -1}