LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-05-13T04:07:57.686376

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

mf_newforms • Show schema

{'Nk2': 5700, 'analytic_conductor': 11.378682288032454, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1425, 2, [476, 1027, 1351], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 799, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [3, 0, 1]], [7, [4, 0, 8, 0, 1]], [11, [6, -6, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036133746214289, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 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': '1425.2.c.k', 'level': 1425, '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': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '285.2.a.e', 'nf_label': '4.0.144.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta_{2} q^{2}+\\beta_1 q^{3}-q^{4}+\\beta_{3} q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1425.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2203879387706949518, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.782', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '74.836', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2147.660', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.518', 'prec': 17}, 'traces': [4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 12, 0, 0, -12, 0, -20, 0, 0, -4, 0, -4, 0, 0, 0, 0, -12, 0, 0, -12, 0, 8, 0, 0, 0, 0, 4, 0, 0, 4, 0, 12, 0, 0, -12, 0, -24, 0, 0, 12, 0, 0, 0, 0, 0, 0, -12, 0, 0, -24, 0, -40, 0, 0, -4, 0, -12, 0, 0, 0, 0, 24, 0, 0, -36, 0, 4, 0, 0, 16, 0, 4, 0, 0, 4, 0, -36, 0, 0, -36, 0, -8, 0, 0, -24, 0, 0, 0, 0, -12, 0, 0, 0, 0, -12, 0, 24, 0, 0, 16, 0, -4, 0, 0, 0, 0, 12, 0, 0, 0, 0, 4, 0, 0, -8, 0, 12, 0, 0, 4, 0, 12, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 20, 0, 48, 0, 0, 24, 0, 56, 0, 0, -48, 0, -4, 0, 0, 24, 0, -24, 0, 0, -12, 0, 48, 0, 0, 36, 0, 4, 0, 0, 36, 0, -60, 0, 0, -24, 0, 32, 0, 0, -24, 0, -48, 0, 0, 4, 0, 36, 0, 0, -36, 0, -12, 0, 0, -8, 0, 32, 0, 0, 0, 0, -96, 0, 0, -12, 0, 32, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 36, 0, -48, 0, 0, 88, 0, -24, 0, 0, 12, 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-12, 0, 0, 0, 0, 44, 0, 24, 0, 0, 12, 0, 0, 0, 0, 12, 0, 56, 0, 0, 0, 0, 0, 0, 0, 40, 0, 12, 0, 0, 0, 0, 8, 0, 0, -40, 0, 0, 0, 0, 0, 0, -180, 0, 0, -12, 0, -40, 0, 0, -24, 0, 4, 0, 0, -20, 0, 72, 0, 0, 48, 0, -192, 0, 0, -8, 0, -96, 0, 0, 12, 0, -24, 0, 0, 0, 0, -64, 0, 0, -56, 0, 72, 0, 0, 48, 0, -24, 0, 0, -72, 0, -48, 0, 0, -8, 0, 0, 0, 0, -20, 0, -72, 0, 0, 0, 0, -112, 0, 0, -120, 0, -24, 0, 0, -24, 0, 132, 0, 0, 24, 0, 0, 0, 0, -48, 0, -56, 0, 0, -72, 0, -60, 0, 0, -48, 0, 32, 0, 0, 48, 0, 36, 0, 0, 16, 0, -96, 0, 0, 84, 0, -36, 0, 0, -40, 0, 0, 0, 0, -4, 0, -96, 0, 0, 0, 0, 8, 0, 0, -48, 0, 36, 0, 0, -24, 0, -24, 0, 0, -12, 0, 144, 0, 0, -8, 0, -16, 0, 0, 0, 0, 24, 0, 0, 12, 0, -80, 0, 0, -32, 0, -72, 0, 0, -4, 0, 0, 0, 0, 36, 0, 72, 0, 0, -80, 0, -4, 0, 0, -48, 0, 36, 0, 0, 0, 0, 104, 0, 0, 0, 0, -4, 0, 0, -24, 0, 24, 0, 0, -36, 0, -48, 0, 0, -56, 0, -96, 0, 0, 36, 0, -36, 0, 0, -12, 0, 0, 0, 0, -60, 0, 84, 0, 0, -24, 0, -96, 0, 0, 48, 0, 8, 0, 0, 0, 0, 36, 0, 0, -32, 0, 24, 0, 0, 24, 0, -16, 0, 0, -120, 0, 0, 0, 0, 8, 0, -144, 0, 0, -96, 0, 48, 0, 0, 16, 0, 8, 0, 0, -72, 0, 12, 0, 0, 120, 0, 28, 0, 0, -32, 0, 24, 0, 0, 4, 0, -72, 0, 0, 96, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 108, 0, 0, 96, 0, -32, 0, 0, 24, 0, -40, 0, 0, 0, 0, 48, 0, 0, 0, 0, 120, 0, 0, -16, 0, 12, 0, 0, -96, 0, 84, 0, 0, -168, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, -192, 0, 0, -24, 0, -88, 0, 0, 16, 0, -88, 0, 0, 24, 0, 156, 0, 0, 48, 0, -12, 0, 0, -24, 0, 12, 0, 0, 16, 0, -60, 0, 0, 120, 0, -96, 0, 0, 8, 0, 24, 0, 0, -24, 0, -60, 0, 0, 120, 0, 84, 0, 0, 40, 0, 24, 0, 0, 0, 0, 0, 0, 0, -72, 0, 200, 0, 0, -120, 0, -16, 0, 0, 12, 0, 0, 0, 0, -72, 0, 80, 0, 0, 0, 0, -24, 0, 0, 4, 0, -24, 0, 0, -36, 0, -48, 0, 0, -56, 0, -28, 0, 0, -24, 0, 0, 0, 0, 120, 0, 104, 0, 0, 92, 0, 0, 0, 0, -16, 0, 132, 0, 0, -72, 0, 40, 0, 0, 112, 0, 24, 0, 0, -12, 0, 120, 0, 0, -144, 0, -184, 0, 0, 0, 0, 36, 0, 0, -24, 0, 48, 0, 0, 12, 0, -48, 0, 0, -8, 0, 0, 0, 0, 120, 0, -60, 0, 0, 24, 0, -48, 0, 0, 40, 0, 72, 0, 0, -4, 0, 48, 0, 0, 120, 0, 96, 0, 0, 56, 0, 44, 0, 0, 0, 0, -96, 0, 0, 120, 0, -72, 0, 0, 48, 0, 8, 0, 0, 4, 0, 24, 0, 0, -12, 0, 24, 0, 0, 112, 0, 24, 0, 0, -12, 0, -120, 0, 0, 0, 0, -32, 0, 0, -24, 0, 60, 0, 0, 96, 0, -36, 0, 0, 216, 0, -68, 0, 0, 40, 0, -4, 0, 0, 4, 0, 144, 0, 0, 24, 0, -112, 0, 0, -24, 0, 24, 0, 0, -12, 0, 36, 0, 0, 108, 0, 144, 0, 0, 0, 0, 8, 0, 0, -120, 0, 24, 0, 0, 120, 0, -88, 0, 0, 32, 0, 0, 0, 0, -40, 0, -48, 0, 0, 72, 0, 4, 0, 0, 48, 0, -48, 0, 0, 0, 0, -72, 0, 0, 12, 0, -16, 0, 0, 192, 0, -16, 0, 0, 0, 0, 0, 0, 0, -12, 0, 120, 0, 0, 88, 0, 8, 0, 0, 12, 0, 72, 0, 0, 36, 0, -32, 0, 0, -80, 0, 48, 0, 0, 0, 0, -24, 0, 0, -60, 0, 72, 0, 0, 16, 0, 16, 0, 0, 0, 0, 36, 0, 0, -48, 0, -16, 0, 0, 96, 0, -20, 0, 0, -20, 0, 0, 0, 0, 12, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 24, 0, 0, 72, 0, -16, 0, 0, -8, 0, 0, 0, 0, -48, 0, -48, 0, 0, 72, 0, 24, 0, 0, -112, 0, -24, 0, 0, 4, 0, -84, 0, 0, -24, 0, -104, 0, 0, -120, 0, 48, 0, 0, -56, 0, -84, 0, 0, -72, 0, -48, 0, 0, 36, 0, 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0, -168, 0, 0, -84, 0, -20, 0, 0, 8, 0, -72, 0, 0, 0, 0, -48, 0, 0, -192, 0, 80, 0, 0, -312, 0, 44, 0, 0, -96, 0, 96, 0, 0, 12, 0, 120, 0, 0, -192, 0, -40, 0, 0, 24, 0, 12, 0, 0, 48, 0, -176, 0, 0, -8, 0, 192, 0, 0, 0, 0, 24, 0, 0, 72, 0, 56, 0, 0, 64, 0], 'weight': 2, 'weight_parity': 1}

Column	Type
an_normalized	double precision[]
angles	double precision[]
char_orbit_index	smallint
conrey_index	integer
dual_conrey_index	integer
dual_embedding_index	integer
dual_embedding_m	integer
embedding_index	integer
embedding_m	integer
embedding_root_imag	double precision
embedding_root_real	double precision
hecke_orbit	integer
hecke_orbit_code	bigint
label	text
level	integer
weight	smallint

mf_hecke_cc • Show schema

{'an_normalized': [[1.0, 0.0], [0.0, -1.224744871391589], [0.0, -0.5773502691896257], [-0.5, 0.0], [0.0, 0.0], [-0.7071067811865476, 0.0], [0.0, -1.0326181437172044], [0.0, -0.6123724356957945], [-0.3333333333333333, 0.0], [0.0, 0.0], [1.4267670016003844, 0.0], [0.0, 0.28867513459481287], [0.0, -0.20303436330264685], [-1.2646937756235488, 0.0], [0.0, 0.0], [-1.25, 0.0], [0.0, 0.0], [0.0, 0.408248290463863], [-0.22941573387056177, 0.0], [0.0, 0.0], [-0.5961823632452196, 0.0], [0.0, -1.747425567880826], [0.0, -0.7223151185146152], [-0.3535533905932738, 0.0], [0.0, 0.0], [-0.24866529517117336, 0.0], [0.0, 0.19245008972987526], [0.0, 0.5163090718586022], [-1.521987295885171, 0.0], [0.0, 0.0], [1.6035526377300602, 0.0], [0.0, 0.9185586535436918], [0.0, -0.8237443124448571], [0.0, 0.0], [0.0, 0.0], [0.16666666666666666, 0.0], [0.0, -1.0186411834826063], [0.0, 0.2809757434745082], [-0.11722194430752743, 0.0], [0.0, 0.0], [0.1980203952655885, 0.0], [0.0, 0.7301712917987001], [0.0, 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-0.3419085385899621, 0.03273653338834067, 0.17710790456194844, -0.22703536960235596, -0.3931091900662114, -0.4339975426938474, -0.4096307185406035, -0.43193101697272407, -0.4111529685560588, -0.24580205890180687, -0.45724615653039996, -0.24847342932725874, 0.07558669790726523, -0.3949521380952662, 0.012489779474319717, -0.3233400970906199, -0.3926731382960577, 0.11450162990426863, -0.21671418253213776, -0.45502824987376933, -0.41947053648682203, 0.12750090648635978, -0.18177891968437154, -0.16384795776749514, -0.06472456712096845, 0.12218070083425488, -0.15887163256420694, -0.37705778674001794, -0.3881087505777019, -0.28010339552060326, 0.17580248591783793, -0.14656336275450446, -0.4166357870172341, -0.2377688531961904, 0.050758610146117475, 0.06381999481618227, -0.46594362232008424, -0.15646432689109566, -0.4101436450730177, 0.05855326882568013, -0.25752680381998777, -0.2507969087452376, -0.4732203870212966, -0.4056539183207704, -0.25066784835291583, -0.30654595764390075, 0.08317185891640379, -0.2898254237921567, -0.27678033185395373, -0.4131736817990945, 0.06965265149427098, 0.0005659438575278742, -0.34745905577234204, -0.30745356859612566, 0.04231700520702817, -0.1653238126258982, -0.3130247544091293, 0.10254457491062256, -0.0608976706667115, -0.42833866760561096, -0.22271756545667956, -0.22810137637449374, -0.4793471841384259, -0.30456074263914124, 0.0726050824820798, 0.17047108772147876, -0.1860846224113838, -0.25117334333136304, 0.11734573890791394, -0.19322626451190764, -0.47755819059458604, -0.40999047383510195, -0.2457167273578815, -0.2839932821538659, -0.24337447112761743, 0.022940792965368356, 0.021961862235392964, -0.38729179160988014, -0.47466717211132037, -0.30686888067838913, -0.3409154705819022, -0.34270558896086956, 0.026289941141777042, -0.17973706103014678, -0.08992815048615907, -0.28540442667279864, 0.12297989982975298, -0.49284892367623423, -0.1477288643053917, -0.4436684903084896, -0.3219001361500979, -0.19049920103351467, 0.1019332985084507, -0.391564207492835, 0.04838300252003067, -0.33291241851552594, -0.47326609798460645, -0.37147425541532125, 0.010809655215109022, -0.26392762633094036, -0.30410017816924817, -0.3374673304484077, 0.12810631685415247, -0.27957375314476823, 0.025776303313802314, -0.10818819331797429, 0.09412871450747688, -0.20911749303986982, -0.27673749857618446, 0.05416515452753014, 0.07188898492929498, -0.470364898123101, -0.44259329016093035, 0.1738903769305335, -0.28108359094118185, -0.48744806378871025, -0.37016704745659146, -0.429572371715745, -0.3707336218619147, -0.10574436448264017, -0.46395575504622627, -0.479603134208089, -0.32463000357756566, 0.06252032452780043, -0.4225138607236028, -0.4398510421383174, 0.04604506784003721, 0.07439255829941951, 0.018324529720193862, -0.2777587626720164, -0.2614578342151082, -0.32549515104892623, -0.4608688022819888, -0.29054984800411493, -0.396680314506039, -0.2403734957979408, -0.36234984657339997, -0.09464127294445038, 0.09737072538336246, 0.008071172724386282, -0.41611116236836493, -0.265028990507646, -0.0989309099243952, 0.02023033254094545, -0.4605449261532466, -0.33653253729058175, -0.43141229652809493, -0.3825396711412005, -0.17362406693736332, -0.3774160289905775, -0.24092253527823507, -0.43610552494005733, 0.05602430986809615, 0.08112118797733374, -0.25851996288136114], 'char_orbit_index': 3, 'conrey_index': 799, 'dual_conrey_index': 799, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.5, 'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 11, 'hecke_orbit_code': 45036133746214289, 'label': '1425.2.c.k.799.1', 'level': 1425, 'weight': 2}

Column	Type
ALdims	integer[]
Nk2	integer
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision
char_conductor	integer
char_degree	integer
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
conrey_index	integer
cusp_dim	integer
dihedral_dim	integer
dim	integer
eis_dim	integer
eis_new_dim	integer
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint
hecke_orbit_dims	integer[]
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
mf_dim	integer
mf_new_dim	integer
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint
relative_dim	integer
s4_dim	integer
sturm_bound	integer
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint
weight_parity	smallint

mf_newspaces • Show schema

{'Nk2': 5700, 'analytic_conductor': 11.378682288032454, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1425, 2, [476, 1027, 1351], [2, 1, 2]], 'conrey_index': 799, 'cusp_dim': 188, 'dim': 52, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 137472509329, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '1425.2.c', 'level': 1425, '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': [3, 5, 19], 'level_radical': 285, 'mf_dim': 212, 'mf_new_dim': 52, 'num_forms': 16, 'prim_orbit_index': 2, 'relative_dim': 52, 'sturm_bound': 400, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [52, 0, 0, -48, 0, -4, 0, 0, -52, 0, -4, 0, 0, -32, 0, 56, 0, 0, 8, 0, 0, 0, 0, 12, 0, 8, 0, 0, 16, 0, 24, 0, 0, 8, 0, 48, 0, 0, 0, 0, -56, 0, 0, 8, 0, -48, 0, 0, -40, 0, 16, 0, 0, 4, 0, 0, 0, 0, -96, 0, -28, 0, 0, -32, 0, -16, 0, 0, -16, 0, 96, 0, 0, 168, 0, -20, 0, 0, -24, 0, 52, 0, 0, 32, 0, -8, 0, 0, 32, 0, 0, 0, 0, -32, 0, -68, 0, 0, 4, 0, -40, 0, 0, 8, 0, -80, 0, 0, 48, 0, 0, 0, 0, 8, 0, 32, 0, 0, -108, 0, 64, 0, 0, -144, 0, 32, 0, 0, -48, 0, 20, 0, 0, -8, 0, -64, 0, 0, 20, 0, -8, 0, 0, -56, 0, 72, 0, 0, 76, 0, 72, 0, 0, 72, 0, 64, 0, 0, 48, 0, -64, 0, 0, 160, 0, 184, 0, 0, -60, 0, -8, 0, 0, -96, 0, 128, 0, 0, -40, 0, -104, 0, 0, 48, 0, -112, 0, 0, 0, 0, -68, 0, 0, -152, 0, 160, 0, 0, -12, 0, 8, 0, 0, -64, 0, -104, 0, 0, 20, 0, 24, 0, 0, 40, 0, -12, 0, 0, -32, 0, -136, 0, 0, 232, 0, -72, 0, 0, -44, 0, 32, 0, 0, -8, 0, 280, 0, 0, 60, 0, -8, 0, 0, 168, 0, -48, 0, 0, 32, 0, 108, 0, 0, 40, 0, -232, 0, 0, -128, 0, -16, 0, 0, 32, 0, 0, 0, 0, 128, 0, -80, 0, 0, 136, 0, -24, 0, 0, -24, 0, -144, 0, 0, 56, 0, -272, 0, 0, 80, 0, -16, 0, 0, 140, 0, -360, 0, 0, 32, 0, 84, 0, 0, 44, 0, -8, 0, 0, 56, 0, 140, 0, 0, 0, 0, -64, 0, 0, 64, 0, -32, 0, 0, -48, 0, -120, 0, 0, 84, 0, 64, 0, 0, 104, 0, 0, 0, 0, -32, 0, 216, 0, 0, -16, 0, -160, 0, 0, -140, 0, 0, 0, 0, -80, 0, -224, 0, 0, 12, 0, 52, 0, 0, -72, 0, 24, 0, 0, 56, 0, -40, 0, 0, 216, 0, -48, 0, 0, -216, 0, -104, 0, 0, 84, 0, -120, 0, 0, -172, 0, -112, 0, 0, -48, 0, -8, 0, 0, 32, 0, -72, 0, 0, -160, 0, 200, 0, 0, 152, 0, 80, 0, 0, 48, 0, -248, 0, 0, -248, 0, 16, 0, 0, -120, 0, -80, 0, 0, 0, 0, 136, 0, 0, 240, 0, 184, 0, 0, 32, 0, 40, 0, 0, -240, 0, 168, 0, 0, 360, 0, 392, 0, 0, -40, 0, -24, 0, 0, -16, 0, 228, 0, 0, 0, 0, -64, 0, 0, 56, 0, 64, 0, 0, -168, 0, 40, 0, 0, -128, 0, -128, 0, 0, 336, 0, -4, 0, 0, -32, 0, -168, 0, 0, -96, 0, 480, 0, 0, -20, 0, 48, 0, 0, 0, 0, -176, 0, 0, -224, 0, -212, 0, 0, 16, 0, 128, 0, 0, -64, 0, -40, 0, 0, -216, 0, -424, 0, 0, -188, 0, 96, 0, 0, 32, 0, 152, 0, 0, 104, 0, 52, 0, 0, -264, 0, 48, 0, 0, 28, 0, 16, 0, 0, 72, 0, -96, 0, 0, -200, 0, 96, 0, 0, 256, 0, 248, 0, 0, 80, 0, 48, 0, 0, -104, 0, 32, 0, 0, 16, 0, -16, 0, 0, 40, 0, 24, 0, 0, 16, 0, 16, 0, 0, 16, 0, -88, 0, 0, 80, 0, 8, 0, 0, 144, 0, 104, 0, 0, 224, 0, -56, 0, 0, -264, 0, -376, 0, 0, -16, 0, 16, 0, 0, -64, 0, 8, 0, 0, -64, 0, 252, 0, 0, 80, 0, -152, 0, 0, -96, 0, 0, 0, 0, -144, 0, 0, 0, 0, 200, 0, 112, 0, 0, 176, 0, 64, 0, 0, -360, 0, -104, 0, 0, -80, 0, -168, 0, 0, 152, 0, 108, 0, 0, -216, 0, 80, 0, 0, -152, 0, -128, 0, 0, 20, 0, 400, 0, 0, 192, 0, 388, 0, 0, -72, 0, 128, 0, 0, -96, 0, -88, 0, 0, -224, 0, 72, 0, 0, 240, 0, 24, 0, 0, 256, 0, 136, 0, 0, -60, 0, -160, 0, 0, 432, 0, -172, 0, 0, -52, 0, -244, 0, 0, 256, 0, -40, 0, 0, 4, 0, -24, 0, 0, 112, 0, 376, 0, 0, -168, 0, -152, 0, 0, -64, 0, -32, 0, 0, -192, 0, 100, 0, 0, -328, 0, -24, 0, 0, 284, 0, 32, 0, 0, 8, 0, 24, 0, 0, -32, 0, -168, 0, 0, 112, 0, -112, 0, 0, -224, 0, -248, 0, 0, 144, 0, 464, 0, 0, 156, 0, -32, 0, 0, -56, 0, 64, 0, 0, -12, 0, 304, 0, 0, -416, 0, 120, 0, 0, 0, 0, -332, 0, 0, -8, 0, -200, 0, 0, -88, 0, 0, 0, 0, -280, 0, -80, 0, 0, -184, 0, 52, 0, 0, -64, 0, 32, 0, 0, 0, 0, 48, 0, 0, 272, 0, 176, 0, 0, 68, 0, 32, 0, 0, 68, 0, 168, 0, 0, 192, 0, -16, 0, 0, -40, 0, -384, 0, 0, 160, 0, -108, 0, 0, 416, 0, 672, 0, 0, 32, 0, -4, 0, 0, 280, 0, -344, 0, 0, 136, 0, -80, 0, 0, 104, 0, 184, 0, 0, 40, 0, 8, 0, 0, -536, 0, 384, 0, 0, 160, 0, 248, 0, 0, -360, 0, 200, 0, 0, 200, 0, -44, 0, 0, -360, 0, -8, 0, 0, -96, 0, -112, 0, 0, -488, 0, -104, 0, 0, -416, 0, -160, 0, 0, 80, 0, 256, 0, 0, 180, 0, 460, 0, 0, -304, 0, 144, 0, 0, 24, 0, -144, 0, 0, -544, 0, -192, 0, 0, 64, 0, -48, 0, 0, 64, 0, 240, 0, 0, -368, 0, -88, 0, 0, -392, 0, -192, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}

Column	Type
conductor	integer
degree	integer
order	integer
parity	smallint
source_conrey_index	integer
source_dim	integer
source_embedding_index	integer
source_hecke_orbit_code	bigint
source_is_minimal	boolean
source_label	text
source_level	integer
target_conrey_index	integer
target_dim	integer
target_embedding_index	integer
target_hecke_orbit_code	bigint
target_is_minimal	boolean
target_label	text
target_level	integer
twist_class_label	text
twist_class_level	integer
twisting_char_label	text
twisting_conrey_index	integer
weight	smallint

mf_twists_cc • Show schema

id: 47164098
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214289, 'source_is_minimal': False, 'source_label': '1425.2.c.k.799.1', 'source_level': 1425, 'target_conrey_index': 799, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036133746214289, 'target_is_minimal': False, 'target_label': '1425.2.c.k.799.1', 'target_level': 1425, 'twist_class_label': '285.2.a.e.1.1', 'twist_class_level': 285, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 47164099
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214289, 'source_is_minimal': False, 'source_label': '1425.2.c.k.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816742801, 'target_is_minimal': False, 'target_label': '1425.2.a.o.1.2', 'target_level': 1425, 'twist_class_label': '285.2.a.e.1.1', 'twist_class_level': 285, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 47164100
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214289, 'source_is_minimal': False, 'source_label': '1425.2.c.k.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036701, 'target_is_minimal': True, 'target_label': '285.2.a.e.1.1', 'target_level': 285, 'twist_class_label': '285.2.a.e.1.1', 'twist_class_level': 285, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47164101
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214289, 'source_is_minimal': False, 'source_label': '1425.2.c.k.799.1', 'source_level': 1425, 'target_conrey_index': 799, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036133746214289, 'target_is_minimal': False, 'target_label': '1425.2.c.k.799.4', 'target_level': 1425, 'twist_class_label': '285.2.a.e.1.1', 'twist_class_level': 285, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 47164102
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214289, 'source_is_minimal': False, 'source_label': '1425.2.c.k.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953598131, 'target_is_minimal': False, 'target_label': '4275.2.a.t.1.1', 'target_level': 4275, 'twist_class_label': '285.2.a.e.1.1', 'twist_class_level': 285, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 47164103
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214289, 'source_is_minimal': False, 'source_label': '1425.2.c.k.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407767, 'target_is_minimal': False, 'target_label': '855.2.a.f.1.2', 'target_level': 855, 'twist_class_label': '285.2.a.e.1.1', 'twist_class_level': 285, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
id: 47164104
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214289, 'source_is_minimal': False, 'source_label': '1425.2.c.k.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736785360, 'target_is_minimal': False, 'target_label': '4560.2.a.bh.1.2', 'target_level': 4560, 'twist_class_label': '285.2.a.e.1.1', 'twist_class_level': 285, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47164105
{'conductor': 95, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 799, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45036133746214289, 'source_is_minimal': False, 'source_label': '1425.2.c.k.799.1', 'source_level': 1425, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698858279, 'target_is_minimal': False, 'target_label': '5415.2.a.r.1.2', 'target_level': 5415, 'twist_class_label': '285.2.a.e.1.1', 'twist_class_level': 285, 'twisting_char_label': '95.18', 'twisting_conrey_index': 18, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 1938850
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 2}
id: 1938851
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 3}
id: 1938852
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036133746214289, 'p': 5}
id: 1938853
{'charpoly_factorization': [[[4, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 45036133746214289, 'p': 7}
id: 1938854
{'charpoly_factorization': [[[6, -6, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 11}
id: 1938855
{'charpoly_factorization': [[[4, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 45036133746214289, 'p': 13}
id: 1938856
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036133746214289, 'p': 17}
id: 1938857
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 45036133746214289, 'p': 19}
id: 1938858
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 23}
id: 1938859
{'charpoly_factorization': [[[-18, 6, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 29}
id: 1938860
{'charpoly_factorization': [[[-44, -4, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 31}
id: 1938861
{'charpoly_factorization': [[[676, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 45036133746214289, 'p': 37}
id: 1938862
{'charpoly_factorization': [[[6, -6, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 41}
id: 1938863
{'charpoly_factorization': [[[676, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 45036133746214289, 'p': 43}
id: 1938864
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 47}
id: 1938865
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 45036133746214289, 'p': 53}
id: 1938866
{'charpoly_factorization': [[[24, 12, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 59}
id: 1938867
{'charpoly_factorization': [[[88, 20, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 61}
id: 1938868
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 67}
id: 1938869
{'charpoly_factorization': [[[-72, -12, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 71}
id: 1938870
{'charpoly_factorization': [[[2704, 0, 296, 0, 1], 1]], 'hecke_orbit_code': 45036133746214289, 'p': 73}
id: 1938871
{'charpoly_factorization': [[[-32, -8, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 79}
id: 1938872
{'charpoly_factorization': [[[144, 0, 168, 0, 1], 1]], 'hecke_orbit_code': 45036133746214289, 'p': 83}
id: 1938873
{'charpoly_factorization': [[[78, 18, 1], 2]], 'hecke_orbit_code': 45036133746214289, 'p': 89}
id: 1938874
{'charpoly_factorization': [[[676, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 45036133746214289, 'p': 97}

Column	Type
char_orbit_index	smallint
hecke_orbit	integer
label	text
level	integer
portrait	text
weight	smallint

mf_newform_portraits • Show schema

{'char_orbit_index': 3, 'hecke_orbit': 11, 'label': '1425.2.c.k', 'level': 1425, 'portrait': 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', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 55408573
{'hecke_orbit_code': 45036133746214289, 'n': 1, 'trace_an': 4}
id: 55408574
{'hecke_orbit_code': 45036133746214289, 'n': 2, 'trace_an': 0}
id: 55408575
{'hecke_orbit_code': 45036133746214289, 'n': 3, 'trace_an': 0}
id: 55408576
{'hecke_orbit_code': 45036133746214289, 'n': 4, 'trace_an': -4}
id: 55408577
{'hecke_orbit_code': 45036133746214289, 'n': 5, 'trace_an': 0}
id: 55408578
{'hecke_orbit_code': 45036133746214289, 'n': 6, 'trace_an': 0}
id: 55408579
{'hecke_orbit_code': 45036133746214289, 'n': 7, 'trace_an': 0}
id: 55408580
{'hecke_orbit_code': 45036133746214289, 'n': 8, 'trace_an': 0}
id: 55408581
{'hecke_orbit_code': 45036133746214289, 'n': 9, 'trace_an': -4}
id: 55408582
{'hecke_orbit_code': 45036133746214289, 'n': 10, 'trace_an': 0}
id: 55408583
{'hecke_orbit_code': 45036133746214289, 'n': 11, 'trace_an': 12}
id: 55408584
{'hecke_orbit_code': 45036133746214289, 'n': 12, 'trace_an': 0}
id: 55408585
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{'hecke_orbit_code': 45036133746214289, 'n': 797, 'trace_an': 0}
id: 55408800
{'hecke_orbit_code': 45036133746214289, 'n': 809, 'trace_an': 24}
id: 55408801
{'hecke_orbit_code': 45036133746214289, 'n': 811, 'trace_an': -16}
id: 55408802
{'hecke_orbit_code': 45036133746214289, 'n': 821, 'trace_an': -144}
id: 55408803
{'hecke_orbit_code': 45036133746214289, 'n': 823, 'trace_an': 0}
id: 55408804
{'hecke_orbit_code': 45036133746214289, 'n': 827, 'trace_an': 0}
id: 55408805
{'hecke_orbit_code': 45036133746214289, 'n': 829, 'trace_an': 16}
id: 55408806
{'hecke_orbit_code': 45036133746214289, 'n': 839, 'trace_an': 120}
id: 55408807
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id: 55408808
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id: 55408809
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id: 55408810
{'hecke_orbit_code': 45036133746214289, 'n': 859, 'trace_an': -128}
id: 55408811
{'hecke_orbit_code': 45036133746214289, 'n': 863, 'trace_an': 0}
id: 55408812
{'hecke_orbit_code': 45036133746214289, 'n': 877, 'trace_an': 0}
id: 55408813
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id: 55408814
{'hecke_orbit_code': 45036133746214289, 'n': 883, 'trace_an': 0}
id: 55408815
{'hecke_orbit_code': 45036133746214289, 'n': 887, 'trace_an': 0}
id: 55408816
{'hecke_orbit_code': 45036133746214289, 'n': 907, 'trace_an': 0}
id: 55408817
{'hecke_orbit_code': 45036133746214289, 'n': 911, 'trace_an': -192}
id: 55408818
{'hecke_orbit_code': 45036133746214289, 'n': 919, 'trace_an': 16}
id: 55408819
{'hecke_orbit_code': 45036133746214289, 'n': 929, 'trace_an': 48}
id: 55408820
{'hecke_orbit_code': 45036133746214289, 'n': 937, 'trace_an': 0}
id: 55408821
{'hecke_orbit_code': 45036133746214289, 'n': 941, 'trace_an': -60}
id: 55408822
{'hecke_orbit_code': 45036133746214289, 'n': 947, 'trace_an': 0}
id: 55408823
{'hecke_orbit_code': 45036133746214289, 'n': 953, 'trace_an': 0}
id: 55408824
{'hecke_orbit_code': 45036133746214289, 'n': 961, 'trace_an': 84}
id: 55408825
{'hecke_orbit_code': 45036133746214289, 'n': 967, 'trace_an': 0}
id: 55408826
{'hecke_orbit_code': 45036133746214289, 'n': 971, 'trace_an': 0}
id: 55408827
{'hecke_orbit_code': 45036133746214289, 'n': 977, 'trace_an': 0}
id: 55408828
{'hecke_orbit_code': 45036133746214289, 'n': 983, 'trace_an': 0}
id: 55408829
{'hecke_orbit_code': 45036133746214289, 'n': 991, 'trace_an': 80}
id: 55408830
{'hecke_orbit_code': 45036133746214289, 'n': 997, 'trace_an': 0}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.