Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-09-22T04:36:33.803871

Query: /api/mf_newforms/?_offset=0

Column	Type
Nk2	integer
analytic_conductor	double precision
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]
atkin_lehner_string	text
char_conductor	integer
char_degree	integer
char_is_minimal	boolean
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
cm_discs	integer[]
conrey_index	integer
dim	integer
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
has_non_self_twist	smallint
hecke_cutters	jsonb
hecke_orbit	integer
hecke_orbit_code	bigint
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
inner_twist_count	integer
inner_twists	integer[]
is_cm	boolean
is_largest	boolean
is_maximal	boolean
is_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
minimal_twist	text
nf_label	text
prim_orbit_index	smallint
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text
related_objects	text[]
relative_dim	integer
rm_discs	integer[]
sato_tate_group	text
self_twist_discs	integer[]
self_twist_type	smallint
space_label	text
trace_display	numeric[]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]
weight	smallint
weight_parity	smallint

{'Nk2': 1368, 'analytic_conductor': 0.6827209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 12, 'artin_field': [16, -8, 7, -4, 4, 0, 1], 'artin_field_label': '6.0.4990464.1', 'artin_image': '12.4', 'char_conductor': 152, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': -1, 'char_values': [1368, 2, [343, 685, 1217, 1009], [2, 1, 2, 1]], 'cm_discs': [-152], 'conrey_index': 37, 'dim': 1, 'embedded_related_objects': [['ArtinRepresentation/2.2e3_3e2_19.6t3.4c1']], 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 0, 'hecke_cutters': [[13, [-1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149399962968, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 115649, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 152, 7, -1, 2, -152]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '1368.1.i.b', 'level': 1368, '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, 19], 'level_radical': 114, 'minimal_twist': '152.1.g.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 7, 'projective_field': [-2, -2, -1, 1], 'projective_field_label': '3.1.152.1', 'projective_image': 'D3', 'projective_image_type': 'Dn', 'qexp_display': 'q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\\cdots', 'related_objects': ['ArtinRepresentation/2.2e3_3e2_19.6t3.4'], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-152], 'self_twist_type': 1, 'space_label': '1368.1.i', 'trace_display': [1, 0, 0, -1], 'trace_hash': 619217943822233665, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.032', 'prec': 7}, {'__RealLiteral__': 0, 'data': '0.972', 'prec': 10}, {'__RealLiteral__': 0, 'data': '-0.114', 'prec': 10}, {'__RealLiteral__': 0, 'data': '2.863', 'prec': 14}, {'__RealLiteral__': 0, 'data': '-0.441', 'prec': 10}, {'__RealLiteral__': 0, 'data': '10.427', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.501', 'prec': 10}, 'traces': [1, 1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 1, 1, 0, -1, 0, 0, 0, 1, 0, 1, 1, 0, -1, -1, 0, 0, 1, 0, 1, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 1, 0, 1, -1, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1, -2, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, -1, 0, 1, 0, 0, -1, 0, 0, 0, -1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 2, 0, -2, -1, 0, 1, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, -2, 0, 0, -1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, -2, 0, 0, 1, 0, 1, 2, 0, -1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, -2, 0, -1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, -2, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 2, -1, 0, -2, 0, 0, -1, 0, 0, -1, 0, 0, -1, -1, 0, 1, -2, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, -1, 0, 1, 0, 0, -2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 1, -1, 0, 0, -2, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, -2, -1, 0, -1, -1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, -2, 0, -1, 0, 0, 0, 1, 0, 0, 1, 0, -1, 1, 0, 0, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1, -1, 0, 1, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 1, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 2, 0, -1, 1, 0, 0, -2, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, 1, 0, -2, -1, 0, 1, -2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, -1, 0, 0, -1, 1, 0, 0, -1, 0, -2, -2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -2, -1, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, -2, 1, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, -1, 1, 0, 1, -1, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 1, 0, 1, -1, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 2, 0, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, -1, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, -1, 0, 0, 1, 0, -1, 0, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, -2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, -1, -2, 0, 1, 1, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 2, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, -2, 0, 2, 1, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, -1, -1, 0, -1, 2, 0, -1, 0, 0, -1, -2, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, -1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 1, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, -1, 0], 'weight': 1, 'weight_parity': -1}