LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-10-09T03:27:02.296592

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': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1050, 2, [701, 127, 451], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 251, 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [20, 0, 1]], [17, [4, -6, 1]], [37, [4, 6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68753032218, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 21, 3, 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': '1050.2.b.a', 'level': 1050, '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': '210.2.b.a', 'nf_label': '4.0.400.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{2}q^{2}+(-1+\\beta _{3})q^{3}-q^{4}+(-\\beta _{1}+\\cdots)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': '1050.2.b', 'trace_display': [0, -2, 0, -6], 'trace_hash': 1375039004978794977, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.048', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.737', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.238', 'prec': 17}, {'__RealLiteral__': 0, 'data': '76.647', 'prec': 20}, {'__RealLiteral__': 0, 'data': '30.419', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2297.009', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.532', 'prec': 17}, 'traces': [4, 0, -2, -4, 0, 2, -6, 0, 0, 0, 0, 2, 0, 6, 0, 4, 12, 8, 0, 0, 0, 0, 0, -2, 0, 4, -14, 6, 0, 0, 0, 0, 20, 0, 0, 0, -12, -16, -12, 0, -8, 4, -16, 0, 0, 16, -8, -2, 0, 0, -16, 0, 0, -14, 0, -6, -12, -4, 0, 0, 0, 20, -22, -4, 0, -20, 48, -12, -8, 0, 0, -8, 0, 0, 0, 0, 20, 8, 0, 0, 4, 0, -4, 0, 0, 0, -28, 0, 40, 0, -16, 0, -20, 0, 0, 2, 0, -8, 0, 0, 32, -4, 0, -4, 0, 16, 0, 14, 0, 0, -4, -6, 0, 28, 0, 0, -8, 0, -28, 0, -36, -20, -16, 0, 0, -22, 28, 0, -32, 0, 32, -20, 4, 0, 0, 0, 0, -8, 0, 0, 24, -20, 40, 0, 0, -36, -26, 12, 0, 0, 48, 16, 20, -20, 0, 12, 0, 0, -28, 0, -24, 0, 24, 8, 0, 0, 32, -4, 28, 0, 32, 16, 16, 32, 0, 0, 20, 0, 0, 0, 0, 4, 0, -16, 0, 0, 0, 8, 32, 0, 0, 2, 24, 12, 0, 0, 0, 40, 0, 0, -24, 0, -24, 16, 0, 4, -32, 0, 80, 0, -32, 0, 0, 8, 0, 14, -40, 0, 8, 0, 0, -16, 0, 6, 0, -24, 12, 12, 0, 0, 0, 4, 0, -20, 0, 0, 40, 8, 0, 0, 0, 0, 38, 0, 0, -24, -24, -20, -68, 0, 32, 22, 0, 0, 0, 4, 12, -48, 8, 0, 8, 0, 0, 20, 0, 44, 0, -48, 0, 0, 0, 12, -4, -32, 0, 8, -12, 64, -40, 0, 0, 16, 0, 0, 0, 0, -8, 8, -12, 0, -16, 0, -64, -26, 0, 0, 20, -44, -16, 0, -16, 0, -36, 0, 0, 24, 0, -20, -72, 0, -88, -8, 0, -28, 0, 0, 0, 12, 120, 0, -64, -24, 0, -4, 0, 0, -20, 0, 32, 0, 48, 4, 20, 0, 0, 0, -32, 0, 52, 0, 40, -40, -18, 0, 0, 0, 0, 28, 0, 0, 4, 0, -84, 20, 0, -40, 40, -24, 0, 0, -68, 20, 18, 16, 0, 20, 0, 0, 40, 0, -44, 20, 84, 40, 0, 0, -56, 0, 0, 0, 16, 20, 16, -2, 0, 0, 80, 0, 0, 0, 0, 8, 44, -32, 0, 0, 0, 44, 16, 0, 0, 24, -40, -32, 0, 36, 0, 4, 0, 0, 36, 0, 20, 0, 0, 4, -52, 0, -40, 0, -32, 0, -40, -16, 0, 20, 20, 0, 0, 0, 0, -14, 0, -20, 0, 0, 64, 28, 0, 0, 76, -8, 0, 4, 0, 44, 52, 6, 0, 0, 0, 0, -64, 0, 0, -28, -72, 44, -32, 0, -8, 80, 44, 0, 0, -64, -108, 8, -72, 0, 4, 0, 0, 40, 0, 28, -32, -44, -80, 0, 0, 0, -16, 36, 0, -38, 28, 20, -32, 0, 0, 16, 0, 0, 0, 0, 20, -72, 0, 0, 24, 0, -24, 22, 0, 0, -34, -28, -80, 0, 44, 0, -76, 0, 0, 32, 0, -28, 52, 0, 112, -60, 0, -32, 0, 16, 0, 20, 28, 0, -40, -4, 0, 40, 0, 0, -28, 0, 0, 0, 88, -100, 40, 0, 0, -40, 88, 0, 40, 0, -136, 8, 40, 0, 0, 0, 0, -20, 0, 0, 40, 80, 116, -24, 0, 44, 34, 20, 0, 0, -32, -40, 0, -32, 0, 0, 0, 0, -12, 0, -64, 4, 80, 36, 0, 0, -68, 26, 40, 0, 36, -12, 36, 20, 0, 0, 28, 0, 0, 0, 0, -64, 0, -48, 0, -4, 0, -16, 4, 0, 0, -20, -36, -28, 0, 20, 0, 68, 0, 0, 56, 0, -40, -12, 0, 4, -120, 0, -16, 0, 48, 0, 16, 8, 0, 28, 8, 0, 40, 0, 0, 56, 0, 24, 0, -88, 32, 0, 0, 0, -20, -24, 0, -20, 0, -8, 72, 8, 0, 0, 0, 0, -16, 0, 0, -24, 16, -32, 8, 0, 40, 4, -96, 0, 0, -28, 72, -28, -28, 0, 4, 0, 0, -32, 0, -18, -32, -16, -56, 0, 0, -16, -20, 8, 0, -32, 16, -36, 52, 0, 0, -24, 0, 0, 0, 0, -68, -20, -80, 0, -80, 0, -80, 12, 0, 0, 72, -4, 120, 0, -76, 0, -80, 0, 0, -18, 0, -4, 0, 0, 32, 0, 0, 12, 0, 16, 0, -16, 0, 0, 32, -4, 0, 0, 0, 0, 140, 0, -72, 0, 88, -8, -36, 0, 0, -32, -52, 0, 80, 0, -48, 44, -20, 0, 0, 0, 0, -2, 0, 0, -56, -24, 96, -32, 0, -12, 40, 76, 0, 0, 40, 48, -44, 0, 0, 76, 0, 0, 32, 0, 76, -40, 0, 12, 0, 0, 32, -80, -64, 0, -40, 40, 40, 24, 0, 0, 20, 0, 0, 0, 0, 24, 20, 40, 0, -16, 0, 24, 32, 0, 0, -4, 44, -4, 0, 20, 0, 32, 0, 0, -84, 0, 60, -12, 0, -80, 60, 0, -40, 0, -68, 0, -40, 32, 0, -16, 54, 0, -12, 0, 0, 0, 0, 40, 0, -8, -108, 40, 0, 0, 80, -60, 0, -14, 0, 44, -54, 40, 0, 0, 0, 0, -24, 0, 0, -8, -92, 4, -28, 0, -8, 0, -16, 0, 0, 56, -88, 16, -12, 0, -160, 0, 0, -8, 0, -6, -32, -24, -40, 0, 0, 80, 160, 24, 0, -16, 88, -12, 40, 0, 0, -12, 0, 0, 0, 0, 12, -52, 0, 0, -36, 0, 0, 0, 0, 0, -8, -4, -80, 0, -32, 0, 24, 0, 0, 20, 0, 72, -32, 0, -88, 24, 0, 0, 0, 160, 0, -40, 16, 0, 36, -8, 0, -40, 0, 0, -80, 0, 68, 0, 4, -32, -16, 0, 0, 0, -12, 0, -56, 0, 232, -38, -116, 0, 0, 0, 0, -8, 0, 0, 40, 0, -104, 24, 0, -72, -80, 24, 0, 0, 88, 20, 16, 40, 0, 68, 0, 0, 52, 0, -40, 56, -40, -32, 0, 0, -16, -22, 40, 0, 76, 0, -64, -6, 0, 0, 48, 0, 0, 0, 0, 64, 80, -4, 0, 36, 0, -12, 128, 0, 0, 48, 104, -80, 0, -8, 0, 68, 0, 0, -24, 0, 96, -8, 0, -36, -32, 0, -40, 0, -32, 0, 80, 40, 0, -20, -112, 0, 72, 0, 0, 0, 0, -44, 0, -48, 40, 0, 0, 0, -76, 48, 0, 52, 0, 0, -48, 120, 0, 0, 0, 0, 194, 0, 0, -60, 28, -12, 0, 0, -48, 4, -156, 0, 0, 32, -68, -20, 32, 0, -56, 0, 0, -8, 0, 40, 48, 12, 240, 0, 0, -64, -16, 48, 0, 40, -12, -96, -92, 0, 0, -80, 0, 0, 0, 0, 32, -16, 160, 0, 8, 0, 280, -34, 0, 0, 80, 56, 144, 0, -56, 0, -60, 0, 0, -20, 0, 8, 72, 0, 32, -8, 0, 12, 0, 12, 0, 12, -120, 0, 96, -76, 0, 16, 0, 0, 12, 0, -8, 0, -32, 64, 16, 0, 0, 26, 240, 0, -120, 0, -88, -4, -62, 0, 0, 0, 0, -20, 0, 0, 84, 44, -44, -72, 0, 16, -68, 156, 0, 0, 8, -40, 0, 16, 0, 96, 0, 0, -40, 0, 36, 36, 44, -68, 0, 0, 12, -120, -64, 0, -80, 32, -104, -24, 0, 0, -72, 0, 0, 0, 0, 20, 64, 8, 0, 72, 0, -56, -80, 0, 0, -56, -160, 88, 0, 80, 0, 8, 0, 0, -128, 0, -4, -40, 0, 28, 140, 0, -80, 0, -32, 0, -4, 0, 0, -16, 20, 0, 8, 0, 0, -12, 0, -60, 0, -120, -128, -20, 0, 0, 20, 40, 0, 64, 0, -76, -40, 24, 0, 0, 0, 0, -80, 0, 0, 4, -72, -80, 48, 0, 112, -40, -36, 0, 0, -24, 132, 20, 0, 0, -112, 0, 0, -20, 0, -32, -52, -144, -40, 0, 0, -100, 2, -48, 0, 24, 28, -4, -8, 0, 0, -20, 0, 0, 0, 0, -20, -52, -144, 0, 88, 0, -80, 0, 0, 0, -8, 32, -120, 0, -36, 0, -80, 0, 0, -52, 0, -8, 80, 0, 32, 16, 0, -40, 0, -144, 0, 40, -92, 0, 76, 18, 0, -12, 0, 0, 12, 0, 68, 0, -112, 120, -36, 0, 0, -20, -184, 0, -72, 0, -128, -28, -16, 0, 0, 0, 0, 12, 0, 0, 84, -60, 80, -4, 0, 8, 0, 0, 0, 0, 128, 84, 56, 28, 0, -20, 0, 0, -160, 0, -8, 0, 164, 40, 0, 0, 92, -40, -80, 0, 36, 24, -84, -28, 0, 0, 120, 0, 0, 0, 0, 64, 56, 68, 0, 80, 0, -20, 88, 0, 0, -18, -76, 132, 0, -16, 0, 88, 0, 0, 96, 0, -200, -20, 0, -36, 40, 0, 104, 0, -72, 0, 60, 0, 0, -40, 48, 0, -64, 0, 0, 8, 0, 44, 0, -24, 192, -20, 0, 0, 20, -84, 0, -8, 0, -40, -80, 48, 0, 0, 0, 0, -80, 0, 0, -4, -80, 56, 112, 0, -8, 0, 80, 0, 0, 0, 64, 80, 40, 0, 40, 0, 0, -16, 0, -20, 20, -20, 80, 0, 0, -16, 36, 40, 0, 2, -104, 144, 160, 0, 0, -44, 0, 0, 0, 0, -8, -80, 40, 0, 0, 0, 76, -12, 0, 0, -120, -48, 0, 0, -36, 0, -96, 0, 0, -16, 0, -8, -132, 0, 72, -44, 0, 172, 0, 32, 0, -48, 0, 0, 0, -4, 0, 0, 0, 0, -14, 0, -8, 0, 128, -44, -20, 0, 0, -16, 108, 0, 64, 0, 32, 80, -76, 0, 0, 0, 0, -24, 0, 0, 48, 40, -104, 20, 0, 32, -100, 56, 0, 0, -32, -40, -84, -36, 0, 80, 0, 0, -40, 0, 116, -4, 80, -96, 0, 0, 152, -12, -120, 0, -104, -100, -120, -36, 0, 0, -80, 0, 0, 0, 0, -20, 208, 48, 0, 0, 0, -76, -160, 0, 0, -96, 204, -4, 0, -24, 0, 52, 0, 0, -44, 0, 116, -80, 0, 40, 128, 0, 144, 0, -68, 0, -80, 32, 0, -40, -80, 0, -108, 0, 0, 40, 0, -54, 0, 16, 12, -32, 0, 0, 0, -48, 0, -20, 0, 4, -48, -20, 0, 0, 0, 0, -104, 0, 0, 0, 136, 104, -40, 0, 32, -8, -256, 0, 0, -104, 40, 14, 56, 0, -56, 0, 0, -66, 0, 20, 0, -160, -16, 0, 0, 48, 280, 0, 0, -20, -32, -64, 40, 0, 0, -28, 0, 0, 0, 0, -68, -92, -120, 0, 4, 0, 192, -76, 0, 0, -80, 8, -80, 0, 80, 0, 64, 0, 0, -4, 0, 72, 152, 0, 72, 0, 0, -44, 0, 112, 0, -52, 0, 0, -88, -6, 0, -48, 0, 0, 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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, -0.7071067811865476], [-0.9341723589627157, -0.35682208977308993], [-0.5, 0.0], [0.0, 0.0], [-0.25231131935570694, 0.66055960981957], [-0.9895238368780991, 0.14436958214958256], [0.0, 0.3535533905932738], [0.7453559924999299, 0.6666666666666666], [0.0, 0.0], [0.0, 1.348399724926484], [0.46708617948135783, 0.17841104488654497], [0.0, -0.34282357483342774], [0.10208471053503816, 0.699699015202235], [0.0, 0.0], [0.25, 0.0], [1.2699330196556393, 0.0], [0.4714045207910317, -0.5270462766947299], [0.0, -1.9436412875674012], [0.0, 0.0], [0.9759000729485332, 0.2182178902359924], [0.9534625892455924, 0.0], [0.0, 0.8340576562282991], [0.12615565967785347, -0.330279804909785], [0.0, 0.0], [-0.24241287451533058, 0.0], [-0.45840957259859577, -0.888741055510531], [0.49476191843904954, -0.07218479107479128], [0.0, -1.4313775359831513], [0.0, 0.0], [0.0, 0.49641684568262506], [0.0, -0.1767766952966369], [0.4811388076977277, -1.2596377518592508], [0.0, 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Column	Type
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	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': 4200, 'analytic_conductor': 8.38429221223444, 'char_conductor': 21, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [1050, 2, [701, 127, 451], [1, 2, 1]], 'conrey_index': 251, 'cusp_dim': 216, 'dim': 52, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17, 37], 'hecke_orbit_code': 68753032218, 'hecke_orbit_dims': [4, 4, 4, 12, 12, 16], 'label': '1050.2.b', 'level': 1050, '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, 'mf_dim': 264, 'mf_new_dim': 52, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 52, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, 0, 0, -8], 'traces': [52, 0, 0, -52, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 36, 0, 0, 16, -48, 0, 0, 16, 0, 0, 52, 0, 16, 0, 0, 0, 0, 0, -36, -32, 0, 0, 0, 0, -20, -52, 0, 0, 64, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 104, 0, 20, 0, 0, -8, 0, 0, 0, 0, 0, 0, -16, 0, -40, 0, 0, 0, 0, 0, 32, 0, 0, -32, 0, 0, 0, 16, 0, 0, -104, 0, 0, -8, 0, -20, 0, 0, 0, 0, 0, 0, -84, 0, -8, 0, 0, 8, 24, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -16, -40, 0, 0, 0, 0, 32, 16, 0, 0, -144, 0, 0, 16, 0, -36, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, -16, 4, 0, 0, 48, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 60, -16, 0, -32, 0, 0, -36, 0, 0, 0, 32, 0, 0, -52, 0, 80, 0, 0, 0, 0, 0, -16, 0, 0, -136, 0, 0, 0, -120, 0, 0, 0, 0, 0, -80, 0, -32, 0, 0, 0, 0, 0, 0, 72, 0, 36, 0, 0, -12, 32, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, -72, 0, 20, 0, 0, 20, 0, 0, 0, 52, 0, 0, 104, 0, 48, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 4, 32, 0, 0, 64, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 4, 100, 0, 8, 0, 0, -32, 0, 0, 0, -112, 0, 0, 112, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -104, 0, 0, -144, 0, 0, -72, 0, -20, 0, 0, 0, 0, 0, 0, -184, 0, 40, 0, 0, 8, 64, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 172, 0, 0, 112, 48, 0, 0, 116, 0, 0, 16, 0, -228, 0, 0, 0, 0, 0, 40, 112, 0, 0, 0, 0, -88, -88, 0, 0, 40, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 52, 96, 0, -32, 0, 0, -152, 0, 0, 0, -80, 0, 0, -32, 0, 32, 0, 0, 0, 0, 0, 128, 0, 0, -116, 0, 0, 0, 200, 0, 0, -16, 0, 0, -80, 0, -392, 0, 0, 0, 0, 0, 0, 104, 0, 104, 0, 0, -8, -64, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 20, -256, 0, 432, 0, 0, 80, 32, 0, 0, 64, 0, 0, -8, 0, 252, 0, 0, 0, 0, 0, -136, -112, 0, 0, 0, 0, 56, 84, 0, 0, 184, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -156, -24, 0, 248, 0, 0, -8, 0, 0, 0, -24, 0, 0, 16, 0, -188, 0, 0, 0, 0, 0, -124, 0, 0, -120, 0, 0, 0, -88, 0, 0, -108, 0, 0, -32, 0, 8, 0, 0, 0, 0, 0, 0, 104, 0, 20, 0, 0, 172, 144, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 264, 160, 0, 16, 0, 0, -48, 40, 0, 0, 72, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 160, 0, 0, 0, 0, -32, -32, 0, 0, -16, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 144, 0, -188, 0, 0, -352, 0, 0, 0, -128, 0, 0, -16, 0, 184, 0, 0, 0, 0, 0, 36, 0, 0, -240, 0, 0, 0, 72, 0, 0, -48, 0, 0, 64, 0, -136, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, -296, -112, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 400, -112, 0, -16, 0, 0, 16, -328, 0, 0, -4, 0, 0, 8, 0, 380, 0, 0, 0, 0, 0, 44, -48, 0, 0, 0, 0, 80, -48, 0, 0, 128, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -100, -40, 0, -112, 0, 0, -20, 0, 0, 0, -32, 0, 0, 128, 0, -280, 0, 0, 0, 0, 0, 360, 0, 0, -60, 0, 0, 0, 16, 0, 0, 24, 0, 0, -32, 0, 32, 0, 0, 0, 0, 0, 0, -240, 0, 12, 0, 0, 36, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -296, -32, 0, 32, 0, 0, 112, 128, 0, 0, -32, 0, 0, 52, 0, -404, 0, 0, 0, 0, 0, -80, 120, 0, 0, 0, 0, -156, -128, 0, 0, 200, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 160, -160, 0, 16, 0, 0, 360, 0, 0, 0, 32, 0, 0, -88, 0, 136, 0, 0, 0, 0, 0, -164, 0, 0, 120, 0, 0, 0, -36, 0, 0, 120, 0, 0, 152, 0, 220, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, -100, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, -96, 0, 212, 0, 0, 60, 192, 0, 0, -64, 0, 0, -104, 0, -240, 0, 0, 0, 0, 0, -136, -192, 0, 0, 0, 0, 176, -72, 0, 0, 64, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -176, -152, 0, -244, 0, 0, 12, 0, 0, 0, -32, 0, 0, -32, 0, -48, 0, 0, 0, 0, 0, -8, 0, 0, 12, 0, 0, 0, -176, 0, 0, 64, 0, 0, -64, 0, -256, 0, 0, 0, 0, 0, 0, -28, 0, 112, 0, 0, 104, -56, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 16, 0, 0, -88, 72, 0, 0, -72, 0, 0, -80, 0, -20, 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: 523689
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753032218, 'target_is_minimal': False, 'target_label': '1050.2.b.a.251.1', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 523690
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268007773210, 'target_is_minimal': False, 'target_label': '1050.2.b.c.251.4', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 523691
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328838170, 'target_is_minimal': False, 'target_label': '1050.2.d.f.1049.2', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 523692
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 206191985690, 'target_is_minimal': False, 'target_label': '1050.2.d.a.1049.3', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 523693
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 41, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503668380401874, 'target_is_minimal': True, 'target_label': '210.2.b.b.41.4', 'target_level': 210, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 523694
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007773210, 'target_is_minimal': False, 'target_label': '1050.2.b.c.251.2', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
id: 523695
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446726682, 'target_is_minimal': False, 'target_label': '1050.2.d.c.1049.1', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 523696
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511005074097178, 'target_is_minimal': False, 'target_label': '1050.2.d.d.1049.4', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
id: 523697
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 41, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753031378, 'target_is_minimal': True, 'target_label': '210.2.b.a.41.1', 'target_level': 210, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
id: 523698
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 881, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140421776, 'target_is_minimal': False, 'target_label': '1680.2.f.e.881.1', 'target_level': 1680, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 523699
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 251, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 68753032218, 'target_is_minimal': False, 'target_label': '1050.2.b.a.251.3', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
id: 523700
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007405446726682, 'target_is_minimal': False, 'target_label': '1050.2.d.c.1049.2', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
id: 523701
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511005074097178, 'target_is_minimal': False, 'target_label': '1050.2.d.d.1049.3', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
id: 523702
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 41, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 68753031378, 'target_is_minimal': True, 'target_label': '210.2.b.a.41.3', 'target_level': 210, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
id: 523703
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 881, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029140649903760, 'target_is_minimal': False, 'target_label': '1680.2.f.i.881.3', 'target_level': 1680, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
id: 523704
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 206191985690, 'target_is_minimal': False, 'target_label': '1050.2.d.a.1049.4', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 2}
id: 523705
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 1049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328838170, 'target_is_minimal': False, 'target_label': '1050.2.d.f.1049.1', 'target_level': 1050, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 2}
id: 523706
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 41, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380401874, 'target_is_minimal': True, 'target_label': '210.2.b.b.41.2', 'target_level': 210, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
id: 523707
{'conductor': 140, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 881, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029140649903760, 'target_is_minimal': False, 'target_label': '1680.2.f.i.881.4', 'target_level': 1680, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '140.139', 'twisting_conrey_index': 139, 'weight': 2}
id: 523708
{'conductor': 420, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 251, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68753032218, 'source_is_minimal': False, 'source_label': '1050.2.b.a.251.1', 'source_level': 1050, 'target_conrey_index': 881, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140421776, 'target_is_minimal': False, 'target_label': '1680.2.f.e.881.2', 'target_level': 1680, 'twist_class_label': '210.2.b.a.41.1', 'twist_class_level': 210, 'twisting_char_label': '420.419', 'twisting_conrey_index': 419, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 1631250
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 2}
id: 1631251
{'charpoly_factorization': [[[9, 6, 2, 2, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 3}
id: 1631252
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68753032218, 'p': 5}
id: 1631253
{'charpoly_factorization': [[[49, 42, 18, 6, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 7}
id: 1631254
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 11}
id: 1631255
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 13}
id: 1631256
{'charpoly_factorization': [[[4, -6, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 17}
id: 1631257
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 19}
id: 1631258
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 23}
id: 1631259
{'charpoly_factorization': [[[1936, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 29}
id: 1631260
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 31}
id: 1631261
{'charpoly_factorization': [[[4, 6, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 37}
id: 1631262
{'charpoly_factorization': [[[-16, 4, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 41}
id: 1631263
{'charpoly_factorization': [[[-64, 8, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 43}
id: 1631264
{'charpoly_factorization': [[[-16, 4, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 47}
id: 1631265
{'charpoly_factorization': [[[16, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 53}
id: 1631266
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 59}
id: 1631267
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 61}
id: 1631268
{'charpoly_factorization': [[[-12, 1], 4]], 'hecke_orbit_code': 68753032218, 'p': 67}
id: 1631269
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 71}
id: 1631270
{'charpoly_factorization': [[[5776, 0, 172, 0, 1], 1]], 'hecke_orbit_code': 68753032218, 'p': 73}
id: 1631271
{'charpoly_factorization': [[[-80, 0, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 79}
id: 1631272
{'charpoly_factorization': [[[-244, 2, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 83}
id: 1631273
{'charpoly_factorization': [[[80, -20, 1], 2]], 'hecke_orbit_code': 68753032218, 'p': 89}
id: 1631274
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 68753032218, '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': 2, 'hecke_orbit': 1, 'label': '1050.2.b.a', 'level': 1050, 'portrait': 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', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 4542379
{'hecke_orbit_code': 68753032218, 'n': 1, 'trace_an': 4}
id: 4542380
{'hecke_orbit_code': 68753032218, 'n': 2, 'trace_an': 0}
id: 4542381
{'hecke_orbit_code': 68753032218, 'n': 3, 'trace_an': -2}
id: 4542382
{'hecke_orbit_code': 68753032218, 'n': 4, 'trace_an': -4}
id: 4542383
{'hecke_orbit_code': 68753032218, 'n': 5, 'trace_an': 0}
id: 4542384
{'hecke_orbit_code': 68753032218, 'n': 6, 'trace_an': 2}
id: 4542385
{'hecke_orbit_code': 68753032218, 'n': 7, 'trace_an': -6}
id: 4542386
{'hecke_orbit_code': 68753032218, 'n': 8, 'trace_an': 0}
id: 4542387
{'hecke_orbit_code': 68753032218, 'n': 9, 'trace_an': 0}
id: 4542388
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id: 4542618
{'hecke_orbit_code': 68753032218, 'n': 877, 'trace_an': -92}
id: 4542619
{'hecke_orbit_code': 68753032218, 'n': 881, 'trace_an': -8}
id: 4542620
{'hecke_orbit_code': 68753032218, 'n': 883, 'trace_an': -16}
id: 4542621
{'hecke_orbit_code': 68753032218, 'n': 887, 'trace_an': -88}
id: 4542622
{'hecke_orbit_code': 68753032218, 'n': 907, 'trace_an': 88}
id: 4542623
{'hecke_orbit_code': 68753032218, 'n': 911, 'trace_an': 0}
id: 4542624
{'hecke_orbit_code': 68753032218, 'n': 919, 'trace_an': 0}
id: 4542625
{'hecke_orbit_code': 68753032218, 'n': 929, 'trace_an': -80}
id: 4542626
{'hecke_orbit_code': 68753032218, 'n': 937, 'trace_an': 0}
id: 4542627
{'hecke_orbit_code': 68753032218, 'n': 941, 'trace_an': -88}
id: 4542628
{'hecke_orbit_code': 68753032218, 'n': 947, 'trace_an': 0}
id: 4542629
{'hecke_orbit_code': 68753032218, 'n': 953, 'trace_an': 0}
id: 4542630
{'hecke_orbit_code': 68753032218, 'n': 961, 'trace_an': 4}
id: 4542631
{'hecke_orbit_code': 68753032218, 'n': 967, 'trace_an': -12}
id: 4542632
{'hecke_orbit_code': 68753032218, 'n': 971, 'trace_an': 232}
id: 4542633
{'hecke_orbit_code': 68753032218, 'n': 977, 'trace_an': 0}
id: 4542634
{'hecke_orbit_code': 68753032218, 'n': 983, 'trace_an': -104}
id: 4542635
{'hecke_orbit_code': 68753032218, 'n': 991, 'trace_an': 88}
id: 4542636
{'hecke_orbit_code': 68753032218, '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 $\F_{q}$
Belyi maps

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.