Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-04-29T18:49:31.975578

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': 161, 'analytic_conductor': 0.08034946703391338, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 161, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 22, 'char_parity': -1, 'char_values': [161, 22, [24, 120], [11, 18]], 'cm_discs': [-7], 'conrey_index': 6, 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 755931021473, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 26041, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7], [1, 1, 23, 3, 1, 11, 0], [1, 1, 161, 12, -1, 22, 0]], 'is_cm': True, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '161.1.l.a', 'level': 161, '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': True, 'level_primes': [7, 23], 'level_radical': 161, 'minimal_twist': '161.1.l.a', 'nf_label': '10.0.2357947691.1', 'prim_orbit_index': 12, 'projective_field': [-2025, 4891, 870, -2177, 181, 564, -330, 29, 21, 3, -5, 1], 'projective_image': 'D11', 'projective_image_type': 'Dn', 'qexp_display': 'q+(-\\zeta_{22}+\\zeta_{22}^{8})q^{2}+(\\zeta_{22}^{2}-\\zeta_{22}^{5}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-7], 'self_twist_type': 1, 'space_label': '161.1.l', 'trace_display': [-2, 0, 0, -1], 'trace_hash': 959068312353902186, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.176', 'prec': 17}, {'__RealLiteral__': 0, 'data': '69.083', 'prec': 20}, {'__RealLiteral__': 0, 'data': '742.892', 'prec': 24}, {'__RealLiteral__': 0, 'data': '8327.020', 'prec': 27}, {'__RealLiteral__': 0, 'data': '109326.550', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.505', 'prec': 17}, 'traces': [10, -2, 0, -3, 0, 0, -1, -4, -1, 0, -2, 0, 0, -2, 0, 6, 0, -2, 0, 0, 0, -4, -1, 0, -1, 0, 0, -3, -2, 0, 0, 5, 0, 0, 0, 8, -2, 0, 0, 0, 0, 0, -2, 5, 0, -2, 0, 0, -1, 9, 0, 0, -2, 0, 0, -4, 0, 7, 0, 0, 0, 0, -1, -7, 0, 0, -2, 0, 0, 0, -2, -4, 0, 7, 0, 0, 9, 0, -2, 0, -1, 0, 0, 0, 0, -4, 0, 3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 9, -2, -3, 0, 0, 0, 0, 0, -4, -2, 0, 9, 0, 0, 6, -2, 0, 0, -6, 0, 0, 0, 0, -3, 0, 0, 0, 0, -2, -2, -8, 0, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, -4, 0, -5, 0, 0, 0, 5, -2, 0, -2, 0, 0, -4, 0, 0, 0, 7, 0, 0, -1, -2, 9, 0, 0, 0, 0, 0, -1, 0, 0, 5, 0, 0, -1, 1, 0, 0, 9, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 9, 0, -2, 0, 0, -3, -2, 7, 0, -4, 0, 0, -2, 0, 0, 0, 10, 0, 0, 0, -2, 5, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 5, -1, -4, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, -2, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -2, -4, 0, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, -2, 0, -2, 0, 0, 0, -2, 0, 0, 5, 0, 0, 0, 5, -1, 0, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, -2, 7, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -6, -2, 0, -4, 0, 0, -2, 0, -3, 0, -4, 0, 0, 0, 0, 9, 0, -2, 0, 0, 0, 9, -2, 0, 0, 0, 0, -1, 14, 0, 0, -2, 0, 0, -2, 0, -1, 0, 0, 0, 0, 0, 7, 9, 0, -1, 0, 0, 0, 0, 0, 0, -5, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 9, 0, 0, 7, 0, 0, 0, 7, -2, 0, -2, 0, 0, -4, 0, 7, 0, -6, 0, 0, 0, -5, 9, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -4, 0, 3, 0, 0, 0, -6, 0, 0, -2, 0, 0, 0, 0, -6, 0, 0, 0, 0, -1, 0, -2, 0, 0, 0, 0, 4, -2, -2, 0, -6, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 1, 0, 7, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, -2, 7, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, -4, 0, 7, 0, 5, 0, 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, -1, 0, 0, 0, 0, 0, 0, 14, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 16, 0, 7, 0, 0, -2, -4, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, -1, -8, -2, 0, -2, 0, 0, 0, -1, 4, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 5, 0, 0, -2, 0, 0, -4, -2, -6, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 3, 9, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 3, 0, -4, 0, 0, 0, 3, -2, 0, -2, 0, 0, -3, 0, 0, 0, 7, 0, 0, 0, 5, -2, 0, 0, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, 9, -4, 0, -3, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 1, 0, 0, 0, 0, 9, 7, 0, 0, 0, 0, 0, 8, -2, 0, 0, -3, 0, 0, 0, 0, -2, 0, 9, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, -2, 0, 0, 9, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -6, -4, 0, -2, 0, 0, -4, -2, 0, 0, -4, 0, 0, 9, 0, -2, 0, 0, 0, 0, 0, -2, -4, 0, 0, 0, 0, 9, -6, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0, 0, 0, -4, 0, 0, 18, 0, 0, -5, 0, 0, 0, 5, 0, 0, 9, -8, 0, 0, 0, 0, 0, 0, 0, 5, 0, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, -6, 0, 3, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, -2, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -4, 0, 5, 0, 0, -3, 1, 0, 0, -2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -4, -2, 0, 0, 0, 0, 0, -4, 0, 0, -8, 0, 0, 0, 0, 9, 0, 0, 0, 0, -2, -2, 0, 0, 7, 0, 0, -2, 0, -2, 0, 0, 0, 0, -8, 0, -4, 0, -3, 0, 0, 0, 3, 0, 0, -2, 0, 0, 0, -2, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -4, 0, -1, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -8, -2, 0, 0, 0, 0, 0, 9, 7, 0, 5, 0, 0, -2, 0, -1, 0, -2, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 7, 0, 0, -2, 0, 0, 0, -2, 7, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 7, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 5, 0, 0, 0, -8, 9, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 16, 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 0, -2, 16, 0, 0, 0, 0, -2, 9, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 7, 0, -2, 0, 0, -4, 0, 0, 0, 18, 0, 0, 0, 0, -2, 0, -3, 0, 0, 0, -2, -4, 0, 3, 0, 0, 0, -6, 0, 0, -2, 0, 0, 7, 0, -6, 0, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 5, 0, 0, -1, 0, -2, 0, 0, 0, 0, -2, 0, 1, 0, -4, 0, 0, -2, -4, -2, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, -2, 0, 0, 3, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -1, -1, 0, 0, -2, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -4, -4, 0, -2, 0, 0, -6, 0, 7, 0, 3, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, -1, 7, 0, 0, -2, 0, 0, 1, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 7, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, -10, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, -12, 0, -4, 0, 0, 0, 18, -2, 0, 0, 0, 0, 7, -2, 0, 0, 0, 0, 0, 0, 6, -2, 0, 0, 0, 0, 0, -2, 3, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -6, -2, 0, -2, 0, 0, 0, 7, -6, 0, -4, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, -4, 0, -6, 0, 0, -2, 7, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 7, -2, 0, -3, 0, 0, -3, -2, 0, 0, -12, 0, 0, -2, 0, -2, 0, 0, 0, 0, -4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, -4, 0, 18, 0, 0, 0, 0, 0, 6, 9, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -2, -4, 9, 0, 0, 0, 0, 0, -2, 0, 0, -8, 0, 0, 0, -6, 0, 0, 9, 0, 0, 0, 0, -3, 0, 0, 0, 0, -1, -4, -2, 0, 9, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 4, 0, 3, 0, 0, -2, -4, 0, 0, -2, 0, 0, 5, 0, -4, 0, 0, 0, 0, 0, 5, 9, 0, 0, 0, 0, -4, -2, 0, 0, -4, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, -4, 0, 5, 0, 0, 0, 0, -1, 0, 9, 0, 0, -4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, -2, 0, 0, 3, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, -1, 3, 0, 0, -2, 0, 0, -4, -2, 1, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, -6, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 7, -2, 0, -2, 0, 0, 3, 0, 0, 0, -1, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 9, 0, 0, 0, 0, 0, -1, -6, 0, 5, 0, 0, 0, 3, 0, 0, 0, 0, 0, 5, 0, -1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 12, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 9, -6, 0, -4, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 12, 0, 0, -2, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, -2, -6, -2, 0, -2, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, -4, 0, 0, -6, 0, 0, 0, 7, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, -4, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, -2, 5, 0, 0, -2, 0, 0, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -3, -4, 0, -6, 0, 0, 0, -3, 0, 0, -2, 0, 0, 0, -1, -8, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -6, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -4, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, -4, 0, -6, 0, 0, 0, -8, -2, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 0, -2, 7, 0, 0, 0, 0, 0, 0, -2, 7, 0, 7, 0, 0, 9, 0, 0, 0, 7, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 7, 0, 5, 0, 0, 9, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 7, 0, 0, 0, -4, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, -2, 0, -2, 0], 'weight': 1, 'weight_parity': -1}