LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-09-24T12:05:29.826810

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': 24276, 'analytic_conductor': 48.461208986715064, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [17, 1]], 'atkin_lehner_string': '--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6069, 1, [2024, 4336, 3760], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-2, -2, 2, 1]], [5, [-1, -1, 3, 1]], [11, [5, 3, -5, 1]], [23, [1, 27, 11, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562006453, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6069.2.a.m', 'level': 6069, '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, 7, 17], 'level_radical': 357, 'minimal_twist': '357.2.f.a', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+q^{3}+(1-\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6069.2.a', 'trace_display': [-2, 3, -3, 3], 'trace_hash': 1718242547821690165, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.925', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.100', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '275.196', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [3, -2, 3, 2, -3, -2, 3, -6, 3, 0, 5, 2, -1, -2, -3, 4, 0, -2, -7, 8, 3, -8, -11, -6, -4, 12, 3, 2, -2, 0, 2, -4, 5, 0, -3, 2, -8, -2, -1, -10, -7, -2, -1, 2, -3, -6, 14, 4, 3, 2, 0, -8, 6, -2, -11, -6, -7, 6, -14, 8, -6, 10, 3, 4, 5, -8, -12, 0, -11, 0, 8, -6, -6, 16, -4, 4, 5, 12, -2, 0, 3, -2, -16, 2, 0, -22, -2, 2, -8, 0, -1, 10, 2, 10, 9, -4, -30, -2, 5, -24, 10, 0, 1, -6, -3, -20, 1, 2, -8, 6, -8, 4, 3, -2, 15, 0, -1, 34, 0, -10, -14, 46, -7, -6, -3, -2, -23, 32, -1, -4, 29, 2, -7, -22, -3, 0, -6, -6, -10, 8, 14, -50, -17, 4, 8, 16, 3, -34, 8, 2, -56, 10, 0, -8, 2, -8, -35, -16, 6, 16, -11, -2, 14, 4, -11, 16, -15, -6, -12, 0, -7, 14, 9, 6, -4, 16, -14, 36, -4, 8, -8, 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-22, -110, -68, 12, -6, 36, -130, 0, 2, -52, 88, 98, -8, -124, -133, 18], '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

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-0.26164679155857046, -0.18751673098601082, -0.12352372863566066, -0.22527498355802394, -0.12691122344071054, -0.2666728883445113, -0.32477733219835736, -0.20160805991608488, -0.20274729347501716, -0.20668754880802429, -0.2092105169801732, -0.07665266670649584, -0.2417909801861168, -0.19017100660070596, -0.3537572696279426, -0.2264828589859202, -0.4487026610017458, -0.1663965787654252, -0.15963915080198687, -0.12752808372185007, -0.33011366645598783, -0.2938006149405568, -0.20167192643790163, -0.23864516158684726, -0.2716147869072469, -0.2000325471442526, -0.16564692457654615, -0.3247206661089862, -0.187013132072471, -0.2430352413540959, -0.3561459844674618, -0.3341844484466961, -0.18891856737419596, -0.26444515477058506, -0.22611759731530373, -0.2990030080436018, -0.3406049574628844, -0.09600566767319943, -0.3558202865767305, -0.2878913343329642, -0.2505589672823035, -0.33832609747659736, -0.27158399579306003, -0.24757979394954097, -0.2178601570109904, -0.18684123201977343, -0.32069803482959197, -0.33621377793165386, -0.395296517670729, -0.3773107644296824, -0.20413074864800093, -0.29410247631821856, -0.18069334329390746, -0.18863659226397025, -0.22372651725428616, -0.22944146311358582, -0.10602828744682624, -0.2831265914101886, -0.2331674887864436, -0.20656041167491346, -0.19915638892219192, -0.25334042727051603, -0.10614708933662768, -0.34477937422963945, -0.3344195415686907, -0.43619620886966504, -0.1577441419083763, -0.26200702697747236, -0.13792286355294067, -0.2917091219950503, -0.29259370988730266, -0.20898824609310507, -0.347418485840969, -0.1431641933529991, -0.263194201038296, -0.15131246740420978, -0.34173311794955885, -0.32329635616513963, -0.3668647558800649, -0.35681084402804303, -0.30021586643304243, -0.25245615069884214, -0.266567670500659, -0.37146773461721266, -0.3336809718938586, -0.25554490519158857, -0.08681207714016041, -0.239225615913956, -0.1914655707928325, -0.23263617429910494, -0.3562961814842708, -0.23178601984813607, -0.1527459693613403, -0.22882902272292394, -0.24759815517832964, -0.1851105733961625, -0.32821927361557507, -0.14166962133913605, -0.19501548440154753, -0.2919465337187687, -0.28480900030639555, -0.3429502201105842, -0.27842001318918286, -0.22562367389888624, -0.15962795291742363, -0.19709744219660738, -0.4327829971843693, -0.16868541505875242, -0.15506637140388704, -0.18526027118707103, -0.23836627200797106, -0.12365972327911356, -0.3049412383470217, -0.42128471759918407, -0.2214374076403825, -0.13768204677246765, -0.2730126180726651, -0.22100444003352554, -0.33078098603676737, -0.32447437801421236, -0.14575759185715031, -0.19285056996043398, -0.26979136835569156, -0.2255186940987955, -0.2902059264395728, -0.2612842605813706, -0.35886983175479126, -0.2390279802587616, -0.2355681761619365, -0.3136377525870094, -0.4196722882345411, -0.2630565358026708, -0.274728817070686, -0.23148091349945063, -0.311005049051137, -0.30024986097495876, -0.1550093508797657, -0.3979300019765028, -0.23010947768108891, -0.3066759806002371, -0.2429529130229361, -0.277985649484007, -0.38753844063704423, -0.39556453900625477], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.1700864866260337, 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562006453, 'label': '6069.2.a.m.1.3', 'level': 6069, 'weight': 2}

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

{'ALdims': [33, 36, 31, 36, 40, 28, 24, 44], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [58, 68, 68, 61, 65, 63, 72, 54], 'Nk2': 24276, 'analytic_conductor': 48.461208986715064, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6069, 1, [2024, 4336, 3760], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 781, 'dim': 272, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 23], 'hecke_orbit_code': 33560501, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 9, 9, 9, 9, 10, 10, 15, 15, 15, 15, 16, 16, 24, 24], 'label': '6069.2.a', 'level': 6069, '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, 7, 17], 'level_radical': 357, 'mf_dim': 852, 'mf_new_dim': 272, 'num_forms': 39, 'plus_dim': 121, 'prim_orbit_index': 1, 'relative_dim': 272, 'sturm_bound': 1632, 'trace_bound': 7, 'trace_display': [0, 0, 8, -2], 'traces': [272, 0, 0, 276, 8, 4, -2, 0, 272, 0, 0, -8, 16, -2, 8, 276, 0, 0, 16, 0, 2, -32, -8, 12, 296, -16, 0, -6, 8, 0, 16, 0, 8, 0, -4, 276, 8, 32, 0, 8, 16, 2, -8, 40, 8, 8, -8, 0, 272, -8, 0, 80, -24, 4, -8, -18, 8, 16, -8, 16, 24, -8, -2, 284, 32, 8, 32, 0, 16, -4, -8, 0, 16, 8, 0, 0, 0, -32, 0, 40, 272, 8, -32, 6, 0, 0, 8, -72, 40, 0, -4, 24, 16, 32, -72, 28, -8, 0, 0, 372, 16, 0, 16, -56, -4, 8, 8, -8, 24, 8, 16, 2, -32, -8, -24, -32, 16, -24, 0, -16, 296, 96, -8, -24, 24, -2, 8, 56, 32, -16, 32, 48, 0, -56, 8, 0, -40, -8, -48, 12, -8, 56, -56, 276, 16, -88, 0, 16, -16, 28, 32, 32, 0, -16, 56, 64, -48, 24, 16, 32, -8, 0, 16, 96, -32, 8, 8, -6, 304, 0, 16, 104, 24, -56, -14, 64, -8, -16, -64, 0, 24, 28, 16, 40, 56, 24, 0, -24, 2, -56, 0, -8, -40, -40, 8, 276, 32, -32, -8, 88, 16, 88, 20, 0, 64, 104, -8, 64, -48, 12, 8, -32, 32, -8, -32, 12, 24, -88, 32, 80, 0, -16, -8, -58, 296, 8, -40, 8, 40, 16, -16, 40, -56, -16, -64, 8, -16, 0, -8, 24, 112, 192, 0, 24, 8, 0, 40, 0, 8, -40, 80, -6, 32, -8, 0, 244, 40, -72, 20, -40, 8, -64, 56, -56, 56, -8, 16, 8, 112, 0, 56, 0, -4, -32, -24, -16, -24, -176, 16, 36, 120, -16, 88, 48, 24, 88, -12, 0, 0, -360, 16, -32, -448, 4, 96, -16, 8, -488, 32, 8, -8, 40, -32, 32, -488, 0, -24, -16, -24, 96, -32, 0, -40, -408, -4, -120, -16, 24, 96, 8, 0, 24, 0, 276, -552, -48, 80, -24, 24, 16, -40, -32, 8, -8, 56, 30, 24, -456, -24, 0, 96, 32, -2, -24, 32, -112, 120, 16, 104, 34, 0, -16, -632, -16, 120, 120, 0, -56, 32, 8, 320, 56, -16, -28, 24, -16, 64, 160, 16, -360, -12, 112, 0, 0, 24, 72, 72, 2, 24, -56, -32, 232, 120, 116, 0, 40, -8, 128, -416, 32, 0, 0, 0, 184, -32, 40, 24, -56, 24, 508, 32, -40, -80, 48, 8, -12, 128, 0, 160, -448, 32, 96, -32, 8, -56, -224, 96, -112, -56, 20, 104, 24, -8, 88, 0, -8, -12, -168, 56, 64, 16, 0, -488, 64, -32, -64, -120, 40, -24, 232, 272, 0, 80, 16, -176, -72, -8, 74, 120, -8, -16, -104, 16, -104, 56, -16, 32, -632, 0, 104, 120, 24, 184, 32, -32, 80, 80, 80, -56, 120, 0, -160, -80, 144, 112, 0, -24, 72, 8, 48, 56, 24, -16, 452, -552, 4, -80, -152, 32, 0, -104, -8, 0, -80, -8, -64, -24, -16, -64, -200, 48, -72, -96, -18, 104, -500, -32, -476, 160, 0, 4, -428, 8, -520, -48, 80, 88, -544, 40, 8, 48, 16, -8, -40, 14, -436, 0, 160, 424, -24, -8, 24, 56, -40, -72, -572, -48, 40, 0, 16, -40, 160, 64, 0, -440, 28, 32, -508, 24, 120, -40, -72, 0, 16, -16, -80, 80, -8, -144, 44, 0, -468, 24, 24, 200, -232, -2, 160, -48, 96, 0, -88, -32, 68, -40, 284, -56, 0, -16, 56, -72, 80, 72, -40, 32, 40, -168, -8, -40, 24, -8, -136, -96, 8, 0, -404, 32, 192, 32, -68, 88, 72, 32, 88, 8, -72, 104, 280, -4, 152, 56, 0, -440, 136, -112, -468, 40, 0, -80, 376, 16, 80, 44, 144, 288, -32, -40, -56, 0, -4, 88, -32, -48, 72, -8, 88, 16, -340, -8, -16, -40, 104, 16, -8, -16, 0, 192, 0, 56, -232, -16, 96, 40, 24, 176, 232, 16, 56, 144, 16, 72, -356, 0, 152, 0, 8, 72, 40, -40, -24, 128, -30, -136, 200, 0, 404, -16, -56, 20, 0, 56, 80, -80, 0, 56, -2, 0, -252, -472, 88, 136, 144, 0, -104, 136, 56, 0, 344, 8, -10, 32, -32, -96, 32, -16, 248, 60, 8, -64, 16, 0, 408, 32, 0, 24, -588, 56, 208, 192, 40, 32, 272, -16, 16, 16, -4, 64, 68, 272, -496, 0, 0, 8, 16, 8, 0, -168, 8, 16, 208, 112, -60, 24, 40, -56, -292, -32, 0, -64, 160, 0, 88, 88, -56, -152, 6, 72, 128, -16, 120, -24, 48, 20, 184, 0, 256, 72, 16, 160, 24, 24, -160, -504, 0, 168, -200, 28, -372, 128, 56, 184, 0, 8, 276, -72, 144, -128, 152, -24, 200, 60, -72, -88, 112, -16, 104, 264, -24, 0, 200, 40, -40, 152, 48, -24, 56, 24, 304, -128, 0, -48, -520, 24, 208, 72, 0, -80, -320, -4, 200, 8, -72, 88, 320, 248, -32, 16, 24, 144, -64, 80, 464, 0, -16, 296, 264, 16, -232, 72, -20, 512, 272, 104, -104, -32, 32, -10, -644, 0, 0, 0, 64, -80, 28, -72, -216, -72, 128, 104, -296, -44, 32, 112, 28, -376, 240, 0, -64, 80, 104, 88, -128, -8, 24, 24, -16, -24, 88, -120, 496, -40, 0, 0, 0, 80, -428, 72, -40, -48, -64, 0, 168, -48, -56, -56, -34, 96, -16, 320, 372, 0, 336, 24, -64, -80, 72, 16, 72, 16, 8, 192, -88, -104, -408, -56, 72, 32, 0, 336, 336, -40, 128, -40, 0, 0, -548, 16, 168, -176, -192, 16, -88, 80, 64, 0, -56, 72, -72, 128, -40, -72, 136, 128, -80, -4, 128, -152, 16, 32, 24, 144, 0, -48, 8, 168, 448, 16, -8, 28, 88, 248, -24, 8, -96, -376, -32, 120, -52, 0, 208, 0, -8, -48, 112, -16, 32, 128, -72, 32, 0, 24, 272, 152, -160, 112, 0, 32, 392, -152, 8, -72, -176, 96, 72, 272, -128, 112, 216, 16, -88], '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: 47499829
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043195562006453, 'source_is_minimal': False, 'source_label': '6069.2.a.m.1.3', 'source_level': 6069, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562006453, 'target_is_minimal': False, 'target_label': '6069.2.a.m.1.3', 'target_level': 6069, 'twist_class_label': '357.2.f.a.169.1', 'twist_class_level': 357, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 47499830
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043195562006453, 'source_is_minimal': False, 'source_label': '6069.2.a.m.1.3', 'source_level': 6069, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343630938469, 'target_is_minimal': True, 'target_label': '357.2.f.a.169.1', 'target_level': 357, 'twist_class_label': '357.2.f.a.169.1', 'twist_class_level': 357, 'twisting_char_label': '17.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 47499831
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043195562006453, 'source_is_minimal': False, 'source_label': '6069.2.a.m.1.3', 'source_level': 6069, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343630938469, 'target_is_minimal': True, 'target_label': '357.2.f.a.169.2', 'target_level': 357, 'twist_class_label': '357.2.f.a.169.1', 'twist_class_level': 357, 'twisting_char_label': '17.13', 'twisting_conrey_index': 13, 'weight': 2}
id: 47499832
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043195562006453, 'source_is_minimal': False, 'source_label': '6069.2.a.m.1.3', 'source_level': 6069, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45035996307265461, 'target_is_minimal': False, 'target_label': '6069.2.a.k.1.3', 'target_level': 6069, 'twist_class_label': '357.2.f.a.169.1', 'twist_class_level': 357, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}
id: 47499833
{'conductor': 51, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043195562006453, 'source_is_minimal': False, 'source_label': '6069.2.a.m.1.3', 'source_level': 6069, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 343630939183, 'target_is_minimal': False, 'target_label': '1071.2.f.a.883.5', 'target_level': 1071, 'twist_class_label': '357.2.f.a.169.1', 'twist_class_level': 357, 'twisting_char_label': '51.38', 'twisting_conrey_index': 38, 'weight': 2}
id: 47499834
{'conductor': 51, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 54043195562006453, 'source_is_minimal': False, 'source_label': '6069.2.a.m.1.3', 'source_level': 6069, 'target_conrey_index': 883, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 343630939183, 'target_is_minimal': False, 'target_label': '1071.2.f.a.883.6', 'target_level': 1071, 'twist_class_label': '357.2.f.a.169.1', 'twist_class_level': 357, 'twisting_char_label': '51.47', 'twisting_conrey_index': 47, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4080050
{'charpoly_factorization': [[[-2, -2, 2, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 2}
id: 4080051
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 54043195562006453, 'p': 3}
id: 4080052
{'charpoly_factorization': [[[-1, -1, 3, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 5}
id: 4080053
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 54043195562006453, 'p': 7}
id: 4080054
{'charpoly_factorization': [[[5, 3, -5, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 11}
id: 4080055
{'charpoly_factorization': [[[-23, -13, 1, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 13}
id: 4080056
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 54043195562006453, 'p': 17}
id: 4080057
{'charpoly_factorization': [[[5, 13, 7, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 19}
id: 4080058
{'charpoly_factorization': [[[1, 27, 11, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 23}
id: 4080059
{'charpoly_factorization': [[[-4, -4, 2, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 29}
id: 4080060
{'charpoly_factorization': [[[-10, -12, -2, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 31}
id: 4080061
{'charpoly_factorization': [[[-26, -2, 8, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 37}
id: 4080062
{'charpoly_factorization': [[[5, 13, 7, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 41}
id: 4080063
{'charpoly_factorization': [[[131, -53, 1, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 43}
id: 4080064
{'charpoly_factorization': [[[302, 4, -14, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 47}
id: 4080065
{'charpoly_factorization': [[[122, -22, -6, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 53}
id: 4080066
{'charpoly_factorization': [[[-230, 16, 14, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 59}
id: 4080067
{'charpoly_factorization': [[[10, -124, 6, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 61}
id: 4080068
{'charpoly_factorization': [[[-1004, -112, 12, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 67}
id: 4080069
{'charpoly_factorization': [[[740, -132, -8, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 71}
id: 4080070
{'charpoly_factorization': [[[-712, -132, 6, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 73}
id: 4080071
{'charpoly_factorization': [[[-1214, -258, 2, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 79}
id: 4080072
{'charpoly_factorization': [[[-16, 24, 16, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 83}
id: 4080073
{'charpoly_factorization': [[[80, -64, 8, 1], 1]], 'hecke_orbit_code': 54043195562006453, 'p': 89}
id: 4080074
{'charpoly_factorization': [[[824, 284, 30, 1], 1]], 'hecke_orbit_code': 54043195562006453, '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': 1, 'hecke_orbit': 13, 'label': '6069.2.a.m', 'level': 6069, 'portrait': 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', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 57510241
{'hecke_orbit_code': 54043195562006453, 'n': 1, 'trace_an': 3}
id: 57510242
{'hecke_orbit_code': 54043195562006453, 'n': 2, 'trace_an': -2}
id: 57510243
{'hecke_orbit_code': 54043195562006453, 'n': 3, 'trace_an': 3}
id: 57510244
{'hecke_orbit_code': 54043195562006453, 'n': 4, 'trace_an': 2}
id: 57510245
{'hecke_orbit_code': 54043195562006453, 'n': 5, 'trace_an': -3}
id: 57510246
{'hecke_orbit_code': 54043195562006453, 'n': 6, 'trace_an': -2}
id: 57510247
{'hecke_orbit_code': 54043195562006453, 'n': 7, 'trace_an': 3}
id: 57510248
{'hecke_orbit_code': 54043195562006453, 'n': 8, 'trace_an': -6}
id: 57510249
{'hecke_orbit_code': 54043195562006453, 'n': 9, 'trace_an': 3}
id: 57510250
{'hecke_orbit_code': 54043195562006453, 'n': 10, 'trace_an': 0}
id: 57510251
{'hecke_orbit_code': 54043195562006453, 'n': 11, 'trace_an': 5}
id: 57510252
{'hecke_orbit_code': 54043195562006453, 'n': 12, 'trace_an': 2}
id: 57510253
{'hecke_orbit_code': 54043195562006453, 'n': 13, 'trace_an': -1}
id: 57510254
{'hecke_orbit_code': 54043195562006453, 'n': 14, 'trace_an': -2}
id: 57510255
{'hecke_orbit_code': 54043195562006453, 'n': 15, 'trace_an': -3}
id: 57510256
{'hecke_orbit_code': 54043195562006453, 'n': 16, 'trace_an': 4}
id: 57510257
{'hecke_orbit_code': 54043195562006453, 'n': 17, 'trace_an': 0}
id: 57510258
{'hecke_orbit_code': 54043195562006453, 'n': 18, 'trace_an': -2}
id: 57510259
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{'hecke_orbit_code': 54043195562006453, 'n': 841, 'trace_an': -75}
id: 57510476
{'hecke_orbit_code': 54043195562006453, 'n': 853, 'trace_an': 22}
id: 57510477
{'hecke_orbit_code': 54043195562006453, 'n': 857, 'trace_an': -58}
id: 57510478
{'hecke_orbit_code': 54043195562006453, 'n': 859, 'trace_an': -44}
id: 57510479
{'hecke_orbit_code': 54043195562006453, 'n': 863, 'trace_an': -88}
id: 57510480
{'hecke_orbit_code': 54043195562006453, 'n': 877, 'trace_an': 2}
id: 57510481
{'hecke_orbit_code': 54043195562006453, 'n': 881, 'trace_an': 82}
id: 57510482
{'hecke_orbit_code': 54043195562006453, 'n': 883, 'trace_an': -55}
id: 57510483
{'hecke_orbit_code': 54043195562006453, 'n': 887, 'trace_an': -57}
id: 57510484
{'hecke_orbit_code': 54043195562006453, 'n': 907, 'trace_an': 2}
id: 57510485
{'hecke_orbit_code': 54043195562006453, 'n': 911, 'trace_an': 57}
id: 57510486
{'hecke_orbit_code': 54043195562006453, 'n': 919, 'trace_an': 29}
id: 57510487
{'hecke_orbit_code': 54043195562006453, 'n': 929, 'trace_an': -21}
id: 57510488
{'hecke_orbit_code': 54043195562006453, 'n': 937, 'trace_an': 72}
id: 57510489
{'hecke_orbit_code': 54043195562006453, 'n': 941, 'trace_an': -18}
id: 57510490
{'hecke_orbit_code': 54043195562006453, 'n': 947, 'trace_an': 32}
id: 57510491
{'hecke_orbit_code': 54043195562006453, 'n': 953, 'trace_an': 110}
id: 57510492
{'hecke_orbit_code': 54043195562006453, 'n': 961, 'trace_an': -65}
id: 57510493
{'hecke_orbit_code': 54043195562006453, 'n': 967, 'trace_an': 7}
id: 57510494
{'hecke_orbit_code': 54043195562006453, 'n': 971, 'trace_an': -6}
id: 57510495
{'hecke_orbit_code': 54043195562006453, 'n': 977, 'trace_an': -110}
id: 57510496
{'hecke_orbit_code': 54043195562006453, 'n': 983, 'trace_an': -21}
id: 57510497
{'hecke_orbit_code': 54043195562006453, 'n': 991, 'trace_an': 98}
id: 57510498
{'hecke_orbit_code': 54043195562006453, 'n': 997, 'trace_an': -130}

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.