Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-07-27T12:33:14.002756

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': 1860, 'analytic_conductor': 3.7130436939895377, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 465, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 6, 'char_parity': 1, 'char_values': [465, 6, [311, 187, 406], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 119, 'dim': 104, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [-12, 0, 1110, 0, -12942, 0, 63358, 0, -164613, 0, 253836, 0, -248099, 0, 159741, 0, -69071, 0, 20107, 0, -3876, 0, 473, 0, -33, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13512104585724369, 'id': 57540, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 31, 5, -1, 6, 0], [1, 1, 93, 7, 1, 6, 0], [1, 1, 155, 9, -1, 6, 0], [1, 1, 465, 20, 1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '465.2.t.d', 'level': 465, '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': [3, 5, 31], 'level_radical': 465, 'minimal_twist': '465.2.t.d', 'prim_orbit_index': 20, 'related_objects': [], 'relative_dim': 52, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '465.2.t', 'trace_display': [0, 0, 0, 0], 'traces': [104, 0, 0, 56, 0, -12, 0, 0, -2, -20, 0, 0, 0, 0, 0, -24, 0, 0, 12, 0, -6, 0, 0, -48, 8, 0, 0, 0, 0, 0, -40, 0, 0, 108, 0, 36, 0, 0, 52, -76, 0, 0, 0, 0, -4, 0, 0, 0, 80, 0, -20, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, -156, 0, 0, 32, -56, 0, 0, 0, 0, 54, -120, 0, 0, -120, 0, 38, 0, 0, -42, 0, 0, 0, 0, 0, 66, 0, 0, 0, -120, 0, -54, 0, 0, 66, -88, 0, 0, 0, 0, -24, 0, 0, 0, 48, 0, 36, 0, 0, -12, -84, 0, 0, 0, 0, 0, -92, 0, 0, -80, 0, -180, 0, 0, -100, -132, 0, 0, 0, 0, 138, 324, 0, 0, 0, 0, -132, 0, 0, -112, 12, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 372, 0, 0, -112, -140, 0, 0, 0, 0, 6, -216, 0, 0, -136, 0, 184, 0, 0, 8, -20, 0, 0, 0, 0, -10, -156, 0, 0, 0, 0, 202, 0, 0, 126, 184, 0, 0, 0, 0, 24, 60, 0, 0, 552, 0, 0, 0, 0, -144, -124, 0, 0, 0, 0, 114, 140, 0, 0, 172, 0, 0, 0, 0, 232, 360, 0, 0, 0, 0, 200, 68, 0, 0, -48, 0, 110, 0, 0, -12, -4, 0, 0, 0, 0, 0, -396, 0, 0, 0, 0, 0, 0, 0, -132, 104, 0, 0, 0, 0, -118, 88, 0, 0, -96, 0, -108, 0, 0, -292, -72, 0, 0, 0, 0, 30, 0, 0, 0, 168, 0, 76, 0, 0, 18, -24, 0, 0, 0, 0, 180, 256, 0, 0, -48, 0, 18, 0, 0, 0, 192, 0, 0, 0, 0, 162, 48, 0, 0, -176, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 102, -12, 0, 0, -208, 0, -198, 0, 0, 76, 0, 0, 0, 0, 0, 54, -96, 0, 0, 192, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, -124, -40, 0, 0, 416, 0, 14, 0, 0, -378, 152, 0, 0, 0, 0, 44, 184, 0, 0, 0, 0, 26, 0, 0, -102, 0, 0, 0, 0, 0, -66, -304, 0, 0, -236, 0, -18, 0, 0, -456, -264, 0, 0, 0, 0, -120, -56, 0, 0, 312, 0, 336, 0, 0, 0, -300, 0, 0, 0, 0, -280, 84, 0, 0, -276, 0, -200, 0, 0, -48, -204, 0, 0, 0, 0, -270, 64, 0, 0, 60, 0, 0, 0, 0, -222, 0, 0, 0, 0, 0, -84, 80, 0, 0, 224, 0, -180, 0, 0, 154, 48, 0, 0, 0, 0, -292, 240, 0, 0, 216, 0, 354, 0, 0, 260, 84, 0, 0, 0, 0, -138, -512, 0, 0, -368, 0, -180, 0, 0, 322, 140, 0, 0, 0, 0, 0, 120, 0, 0, -52, 0, 126, 0, 0, -402, 208, 0, 0, 0, 0, 0, -420, 0, 0, -348, 0, 108, 0, 0, -152, 88, 0, 0, 0, 0, -60, 0, 0, 0, 348, 0, -16, 0, 0, 0, -492, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, -24, 0, 0, 190, -272, 0, 0, 0, 0, 456, -44, 0, 0, 384, 0, 158, 0, 0, -30, 0, 0, 0, 0, 0, 138, 0, 0, 0, 264, 0, -348, 0, 0, 66, 44, 0, 0, 0, 0, 456, -312, 0, 0, -328, 0, -76, 0, 0, -294, -144, 0, 0, 0, 0, 0, 116, 0, 0, -16, 0, 156, 0, 0, -290, -108, 0, 0, 0, 0, 150, -660, 0, 0, 0, 0, 288, 0, 0, -68, 36, 0, 0, 0, 0, 294, 0, 0, 0, 0, 0, -80, 0, 0, 1068, 32, 0, 0, 0, 0, -202, 780, 0, 0, 372, 0, -288, 0, 0, 144, -124, 0, 0, 0, 0, -276, -48, 0, 0, 0, 0, 50, 0, 0, 480, 144, 0, 0, 0, 0, 118, -304, 0, 0, -504, 0, 0, 0, 0, 74, -8, 0, 0, 0, 0, 48, -248, 0, 0, 296, 0, 0, 0, 0, 124, -372, 0, 0, 0, 0, 220, 260, 0, 0, 996, 0, 154, 0, 0, 126, 40, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -576, 152, 0, 0, 0, 0, 120, -56, 0, 0, -252, 0, 372, 0, 0, 400, 384, 0, 0, 0, 0, 348, 0, 0, 0, 180, 0, 170, 0, 0, 802, -120, 0, 0, 0, 0, -522, 260, 0, 0, 108, 0, 42, 0, 0, 0, 312, 0, 0, 0, 0, 252, -732, 0, 0, -252, 0, 0, 0, 0, 0, 620, 0, 0, 0, 0, 308, 636, 0, 0, -432, 0, 12, 0, 0, -146, 0, 0, 0, 0, 0, 52, 792, 0, 0, 732, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, -632, 208, 0, 0, -216, 0, -268, 0, 0, -594, -340, 0, 0, 0, 0, 74, -296, 0, 0, 0, 0, -206, 0, 0, -754, 0, 0, 0, 0, 0, -450, 736, 0, 0, -160, 0, -56, 0, 0, -564, -540, 0, 0, 0, 0, 30, -352, 0, 0, -288, 0, 924, 0, 0, 0, 0, 0, 0, 0, 0, -212, 996, 0, 0, -180, 0, 64, 0, 0, 354, -72, 0, 0, 0, 0, 84, -56, 0, 0, 396, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 228, 256, 0, 0, 440, 0, -564, 0, 0, 112, -432, 0, 0, 0, 0, -868, -36, 0, 0, -92, 0, 0, 0, 0, 684, -168, 0, 0, 0, 0, -38, -840, 0, 0, -248, 0, -918, 0, 0, 60, 512, 0, 0, 0, 0, 0, 312, 0, 0, 96, 0, -708, 0, 0, -444, 188, 0, 0, 0, 0, 0, 104, 0, 0, -1956, 0, -50, 0, 0, -596, 208, 0, 0, 0, 0, -80, 0, 0, 0, -200, 0, 104, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 0, -800, 0, 496, 0, 0, 250, 56], 'weight': 2, 'weight_parity': 1}