Database - mf_newforms (Galois orbits of newforms)

Formats: - HTML - YAML - JSON - 2026-06-18T08:10:32.321718

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': 3360, 'analytic_conductor': 6.707433769787552, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 280, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 52, 'char_orbit_label': 'bz', 'char_order': 6, 'char_parity': 1, 'char_values': [840, 6, [631, 421, 281, 337, 241], [3, 3, 6, 3, 5]], 'cm_discs': [], 'conrey_index': 19, 'dim': 96, 'has_non_self_twist': 1, 'hecke_cutters': [[17, [109146149428349290676224, -321646506856217881608192, 1108895055371020049317888, -1187232040832284374335488, 2830132090026450923552768, -2688091777673841461952512, 4707533720835839116705792, -3286552727083068789096448, 3986687708059115079073792, -2234933638501773421576192, 2204608941400126169808896, -1046436754360976215031808, 867638367678371643068416, -353803435467834500640768, 256390332079481029559296, -91279786567643178249216, 58779796261565685072128, -18299860323056215271424, 10658560448478472782848, -2915144284200401126400, 1554602289828498462976, -372508938418195426944, 184151541274390116608, -38588138173514802688, 17892910912923429952, -3255805935107818112, 1432879290222584192, -224591103084915136, 95065959479699584, -12668130484216448, 5229103650735136, -583114205118688, 238768824581152, -21796970963296, 9014544878192, -654837955536, 280272701552, -15574023768, 7089264040, -284664672, 143959340, -3838688, 2274984, -34492, 26976, -176, 216, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4507104354239304, 'id': 86807, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, 0], [1, 1, 35, 9, -1, 6, 0], [1, 1, 280, 27, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '840.2.bz.b', 'level': 840, '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, 7], 'level_radical': 210, 'minimal_twist': '840.2.bz.a', 'prim_orbit_index': 27, 'related_objects': [], 'relative_dim': 48, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '840.2.bz', 'trace_display': [0, 48, 0, 0], 'traces': [96, 0, 48, 0, 0, 0, 0, 0, -48, 5, 0, 0, 0, 14, 0, 4, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, -96, -4, 0, 13, 0, -30, 0, 0, -16, 0, 0, -12, 0, -7, 0, -2, 0, -16, 0, -22, 0, 8, 0, 12, 0, -6, 0, 0, 0, 26, 0, 30, 48, 11, 0, 32, 0, -24, -60, -18, 0, 38, 0, 21, 0, 0, 0, -10, 0, 0, 0, 0, 0, 55, -48, -18, 0, 10, 0, 8, 0, 84, 0, 8, 16, 0, 0, 18, 0, -30, -48, -2, 0, -37, 0, -12, 0, 0, -32, 16, 24, 0, 0, 45, 0, 20, 0, 12, 56, -42, 0, 28, 0, 16, -40, -2, 0, -78, 0, -16, 0, -42, 0, 4, -72, -32, 0, -52, 0, -60, 0, 22, 0, 47, 0, -30, 0, 4, -16, 0, 0, 0, 0, -27, 0, 6, 0, -86, 0, 6, 0, 114, 0, -116, -8, 0, 0, 24, 0, 102, 0, -14, -80, -136, 0, 78, 0, 0, 0, -68, 48, 46, 48, -11, 0, 10, 0, 46, -24, 16, -16, -16, 0, -40, 0, -12, 72, 90, 0, -150, 0, -18, 0, -85, 0, -100, 80, 76, 0, 96, 0, -64, 0, 6, 160, 42, 0, -2, 0, 0, 80, 0, 0, -175, 0, 10, 0, -74, 0, -8, 0, -18, 0, -108, 0, 0, 0, 0, -12, 90, 0, 86, 0, 17, 24, 48, 48, 0, 0, -36, 0, 0, 0, -70, 0, 14, 0, 4, 0, 60, 64, 16, -56, 24, 0, -32, 0, 84, -96, 152, 0, 90, 0, -5, 0, 176, -16, -104, -56, 42, 0, -88, 0, -132, 16, 18, 0, 74, 0, 0, 0, 0, -48, 139, -24, 2, 0, 38, 0, 32, 0, -180, -216, 46, 0, 0, 0, 6, -156, -12, 0, -90, 0, 291, 0, -96, 40, 0, -16, 28, 0, 8, 0, 119, 0, -68, 0, 0, 0, -128, 0, -96, 56, 66, 48, 44, 0, -162, 0, 64, 0, 192, 0, 140, 0, 24, 0, 68, 40, -246, 0, 42, 0, -27, 0, -60, -104, 14, -44, 0, 0, 0, 0, 23, 32, -24, -80, 106, 0, 2, 0, 180, 0, 168, 176, 0, 0, 42, 0, -90, 208, -14, 80, -188, 0, -156, 0, 0, 172, -136, 0, -20, 0, 80, 0, 8, 0, 38, -156, -16, 0, -4, 0, 138, 0, -26, 144, 18, 0, -220, 0, -60, 120, -46, 0, -172, 0, 44, 0, -270, 0, 118, 0, 73, 0, -150, 0, -12, -60, 0, -112, 0, 0, -158, 0, -4, 128, -102, -32, 8, 0, 108, 0, -198, 0, 0, 96, -18, 0, 72, 0, 144, 16, -39, 0, 264, 0, 0, 0, 12, -168, -30, 0, -82, 0, -16, 0, -12, -60, 160, 0, 12, 0, 80, 0, 20, -168, 114, 64, -242, 0, -168, 0, -109, 0, -248, 8, -24, 0, 0, 0, -180, 0, 92, -224, 24, 0, 94, 0, 0, -24, 0, 128, -262, 0, 82, 0, -40, 40, 40, -40, -258, 0, -68, 0, 0, 0, 48, 112, 78, 0, 162, 0, 284, 264, -30, -80, 0, 0, 80, 0, -34, -96, 29, 0, 42, 0, -46, 0, 234, -48, -88, 200, -22, 0, -80, 0, 252, 144, 116, 0, 306, 0, 57, 0, 92, 152, 248, 24, 228, 0, -16, 0, -401, -32, -12, -16, -8, 0, 0, 0, 0, -32, 10, 56, -50, 0, 146, 0, 12, 112, -330, 72, 180, 0, 0, 0, -30, 60, -252, -176, -96, 0, 325, 0, -60, -56, 0, 220, 104, 0, -14, 0, -29, 0, 20, 0, -10, 0, -50, 0, -24, 40, 96, -112, 38, 0, 78, 0, 328, 0, 96, 120, 209, 0, 332, 0, -128, -228, -228, 0, 244, 0, -15, 0, 48, 80, -90, 20, 0, 0, 0, 0, 257, -40, 2, 96, 154, 0, -76, 0, 0, -120, 348, 40, 0, 0, -108, 0, -174, 0, -220, -160, -95, 0, -246, 0, 0, -204, 20, -384, 78, 0, 226, 0, 62, 0, 38, 0, -246, 0, -16, 0, -120, 0, 66, 0, -18, 0, -382, 0, -444, 24, -60, -264, -112, 0, 232, 0, -192, 0, 244, 0, 434, 0, 0, 0, -82, 12, 0, -8, 0, 0, -250, 0, 96, -256, -92, 80, -62, 0, 294, 0, -38, 40, 0, 24, -276, 0, 48, 0, 190, 96, -462, 48, 60, 0, 0, 0, 60, 432, -18, 40, -412, 0, -92, 0, 0, -68, 226, 0, -168, 0, -164, 0, 20, 0, 84, 104, 4, 0, -366, 0, -210, -120, 8, -144, -320, 0, 450, 0, -60, 0, -70, 128, 66, 0, 8, 0, 0, 8, 0, -264, -12, 0, 94, 0, -232, 160, 32, 16, -366, 0, -232, 0, 0, 0, 72, -60, 168, 0, 76, 0, 387, 0, 348, 64, 0, 0, 140, 0, 40, 104, -13, 0, 2, 0, 58, 0, 88, 80, 48, -32, -232, 0, -52, 0, -126, -88, 342, 0, 42, 0, -47, 0, 280, -288, -176, 60, 396, 0, -300, 0, -81, -96, -60, 8, 74, 0, 0, 0, 0, 0, 182, 48, -74, 0, -24, 0, 86, -152, -138, -456, 324, 0, 0, 0, 30, -300, -78, -96, -242, 0, 185, 0, -234, 24, 0, 80, 4, 0, -80, 0, 377, 0, 40, 0, 74, 0, -266, 0, 64, -144, -160, 0, 64, 0, -180, 0, 310, 0, 540, -192, 83, 0, 188, 0, -88, 264, -180, -144, 272, 0, -34, 0, 6, -240, -114, -108, 0, 0, 0, 0, 426, 0, -82, -288, 156, 0, -116, 0, 564, 24, 162, 160, 0, 0, -216, 0, -96, 832, -380, 80, -444, 0, -210, 0, 0, 16, -136, 0, 14, 0, -58, 0, 16, 0, -8, -112, -236, 0, 80, 0, 154, 0, -74, -24, -132, 0, -202, 0, -474, 0, -7, 528, 0, 0, -492, 0, -528, 0, 128, 0, 625, 0, 60, 0, -48, -76, 0, 88, 0, 0, 21, 0, 58, 96, -260, -112, -44, 0, 534, 0, -412], 'weight': 2, 'weight_parity': 1}