Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-06-20T15:02:19.736234

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': 10584, 'analytic_conductor': 21.12841637483079, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 3, 'char_parity': 1, 'char_values': [2646, 3, [785, 1081], [1, 2]], 'cm_discs': [], 'conrey_index': 361, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 0, -16, 0, 1]], [11, [1, -4, 1]], [13, [20736, 0, 6912, 0, 2160, 0, 48, 0, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568873989933654, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'id': 158921, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 11, -1, 6, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 63, 7, 1, 3, 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': '2646.2.h.t', 'level': 2646, '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, 7], 'level_radical': 42, 'minimal_twist': '882.2.f.q', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-\\beta_1+1)q^{2}-\\beta_1 q^{4}+(-2\\beta_{6}-2\\beta_{5})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2646.2.h', 'trace_display': [4, 0, 0, 0], 'trace_hash': 1862038584192131324, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.419', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '399.164', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '36929.391', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.517', 'prec': 17}, 'traces': [8, 4, 0, -4, 0, 0, 0, -8, 0, 0, 16, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 8, -16, 0, 24, 0, 0, 0, -16, 0, 0, 4, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -8, -8, 0, -8, 0, 0, 0, 12, 0, 0, 16, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 8, 48, 0, -36, 0, 0, 0, -48, 0, 0, -32, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -56, -16, 0, -16, 0, 0, 0, 8, 0, 0, -32, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -16, -28, 0, 8, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 80, 4, 0, -48, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -16, -128, 0, 64, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -44, 56, 0, -8, 0, 0, 0, -8, 0, 0, 48, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -64, 32, 0, 16, 0, 0, 0, 80, 0, 0, -24, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -48, -32, 0, -56, 0, 0, 0, -8, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -48, 0, -80, 0, 0, 0, -24, 0, 0, -16, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 16, 40, 0, -4, 0, 0, 0, -96, 0, 0, 96, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 144, 0, 224, 0, 0, 0, 16, 0, 0, 24, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 64, 16, 0, -64, 0, 0, 0, 32, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -104, 0, -32, 0, 0, 0, 184, 0, 0, -32, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 28, -88, 0, 112, 0, 0, 0, 8, 0, 0, 24, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -48, 16, 0, 20, 0, 0, 0, -64, 0, 0, 8, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -16, -32, 0, -32, 0, 0, 0, 32, 0, 0, -64, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -12, 24, 0, 96, 0, 0, 0, -8, 0, 0, 8, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, -72, 48, 0, -16, 0, 0, 0, -28, 0, 0, -96, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 96, -4, 0, -40, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -16, 32, 0, -96, 0, 0, 0, 80, 0, 0, -28, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 16, -8, 0, -72, 0, 0, 0, 36, 0, 0, -24, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 96, 8, 0, -40, 0, 0, 0, -8, 0, 0, -64, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 48, 144, 0, -56, 0, 0, 0, -48, 0, 0, 36, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 72, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 48, -20, 0, 56, 0, 0, 0, 144, 0, 0, -168, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -48, 128, 0, 32, 0, 0, 0, 64, 0, 0, -64, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -80, 144, 0, -72, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 64, 8, 0, 104, 0, 0, 0, -64, 0, 0, -88, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -16, -48, 0, 48, 0, 0, 0, -96, 0, 0, -32, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -28, 0, -44, 0, 0, 0, 56, 0, 0, -84, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 48, -128, 0, -104, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 192, -96, 0, 32, 0, 0, 0, -20, 0, 0, -48, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -8, -48, 0, 24, 0, 0, 0, 40, 0, 0, 40, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 16, -8, 0, 32, 0, 0, 0, -64, 0, 0, 240, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -32, 136, 0, -48, 0, 0, 0, 16, 0, 0, -40, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -104, 12, 0, 12, 0, 0, 0, 48, 0, 0, -112, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 16, 0, 0, -40, 0, 0, 0, 96, 0, 0, 304, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 52, -144, 0, 96, 0, 0, 0, 16, 0, 0, 80, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 96, -64, 0, 0, 0, 0, 0, 32, 0, 0, -8, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 88, 48, 0, 4, 0, 0, 0, -80, 0, 0, 112, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 192, 0, 152, 0, 0, 0, -160, 0, 0, -48, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 48, 16, 0, 16, 0, 0, 0, -48, 0, 0, -160, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -56, -24, 0, 72, 0, 0, 0, -152, 0, 0, 48, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 24, 32, 0, -16, 0, 0, 0, 72, 0, 0, -96, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 24, -8, 0, -104, 0, 0, 0, -192, 0, 0, 92, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -256, 48, 0, -8, 0, 0, 0, -80, 0, 0, 24, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -32, 192, 0, -352, 0, 0, 0, 248, 0, 0, 48, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 60, -48, 0, 72, 0, 0, 0, -28, 0, 0, 96, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 72, -64, 0, -72, 0, 0, 0, 432, 0, 0, 16, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -144, 16, 0, 0, 0, 0, 0, -72, 0, 0, -56, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, -192, 0, 216, 0, 0, 0, 40, 0, 0, 16, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, -48, 24, 0, 20, 0, 0, 0, 112, 0, 0, -384, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -84, -240, 0, -304, 0, 0, 0, -108, 0, 0, 16, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 16, 48, 0, 64, 0, 0, 0, 16, 0, 0, 12, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -128, 64, 0, 60, 0, 0, 0, -336, 0, 0, -64, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -128, -160, 0, 288, 0, 0, 0, 72, 0, 0, 48, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, -148, 0, 48, 0, 0, 0, -32, 0, 0, 68, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, -288, 32, 0, -8, 0, 0, 0, 208, 0, 0, 240, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -44, 144, 0, 0, 0, 0, 0, -208, 0, 0, -92, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -64, 16, 0, -24, 0, 0, 0, 24, 0, 0, 48, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -64, -144, 0, 16, 0, 0, 0, -144, 0, 0, 64, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 32, 0, 0, -56, 0, 0, 0, 44, 0, 0, 112, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 84, 96, 0, 36, 0, 0, 0, -192, 0, 0, 8, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 176, 24, 0, 128, 0, 0, 0, -208, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -312, 0, -568, 0, 0, 0, 104, 0, 0, -8, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 32, -192, 0, -48, 0, 0, 0, 16, 0, 0, -32, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -96, 48, 0, 40, 0, 0, 0, -96, 0, 0, 128, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, -40, -16, 0, -96, 0, 0, 0, -24, 0, 0, 108, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -40, -40, 0, 96, 0, 0, 0, -4, 0, 0, 56, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -40, 8, 0, 8, 0, 0, 0, 64, 0, 0, -144, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 120, 176, 0, -128, 0, 0, 0, 120, 0, 0, -16, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 80, 32, 0, 68, 0, 0, 0, -24, 0, 0, 168, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -80, 164, 0, 160, 0, 0, 0, -304, 0, 0, -96, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 112, -208, 0, 24, 0, 0, 0, -12, 0, 0, -16, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 112, 76, 0, -40, 0, 0, 0, 288, 0, 0, -8, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -160, 8, 0, 0, 0, 0, 0, -80, 0, 0, -368, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 152, -16, 0, 224, 0, 0, 0, -152, 0, 0, 160, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 12, -52, 0, -72, 0, 0, 0, 48, 0, 0, 20, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 160, 120, 0, 48, 0, 0, 0, 48, 0, 0, 56, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 4, 192, 0, -128, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 8, 144, 0, 128, 0, 0, 0, -88, 0, 0, 8, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -512, 44, 0, -48, 0, 0, 0, 8, 0, 0, 48, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 56, -480, 0, -128, 0, 0, 0, -152, 0, 0, 12, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 216, 0, 0, 96, 0, 0, 0, 76, 0, 0, 112, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, -96, -48, 0, 56, 0, 0, 0, 320, 0, 0, -128, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 144, 96, 0, 32, 0, 0, 0, -16, 0, 0, -232, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 160, 0, 0, 200, 0, 0, 0, -16, 0, 0, 80, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, -288, -28, 0, 24, 0, 0, 0, 144, 0, 0, -32, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 24, 200, 0, -448, 0, 0, 0, -72, 0, 0, -28, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -56, -24, 0, 16, 0, 0, 0, -8, 0, 0, -144, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -192, 16, 0, -64, 0, 0, 0, -320, 0, 0, -72, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 168, 48, 0, -16, 0, 0, 0, 104, 0, 0, 112, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -92, 0, 0, 96, 0], 'weight': 2, 'weight_parity': 1}