Database - av_fq_isog

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Query: /api/av_fq_isog/?label=2.2.a_ae&_offset=0

Table av_fq_isog

Isogeny classes of abelian varieties over finite fields

Column	Type	Example
abvar_count	numeric	266895
abvar_counts	numeric[]	[266895, 68768432595, 18015869812839120, 4722427220290890412275, 1237939595107715068657369875, 32451...
abvar_counts_str	text	'266895 68768432595 18015869812839120 4722427220290890412275 1237939595107715068657369875 3245185518...
all_polarized_product	boolean
all_unpolarized_product	boolean
angle_corank	smallint	0
angle_rank	smallint	2
angles	double precision[]	[0.307869685087021, 0.777993471959792]
center_dim	smallint	4
cohen_macaulay_max	smallint
curve_count	integer	522
curve_counts	numeric[]	[522, 262330, 134228691, 68720360578, 35184359464542, 18014398406540215, 9223372032513920586, 472236...
curve_counts_str	text	'522 262330 134228691 68720360578 35184359464542 18014398406540215 9223372032513920586 4722366482748...
curves	text[]
dim1_distinct	smallint	0
dim1_factors	smallint	0
dim2_distinct	smallint	1
dim2_factors	smallint	1
dim3_distinct	smallint	0
dim3_factors	smallint	0
dim4_distinct	smallint	0
dim4_factors	smallint	0
dim5_distinct	smallint	0
dim5_factors	smallint	0
endomorphism_ring_count	smallint
g	smallint	2
galois_groups	text[]	['4T3']
geom_dim1_distinct	smallint	0
geom_dim1_factors	smallint	0
geom_dim2_distinct	smallint	1
geom_dim2_factors	smallint	1
geom_dim3_distinct	smallint	0
geom_dim3_factors	smallint	0
geom_dim4_distinct	smallint	0
geom_dim4_factors	smallint	0
geom_dim5_distinct	smallint	0
geom_dim5_factors	smallint	0
geometric_center_dim	smallint	4
geometric_extension_degree	smallint	1
geometric_galois_groups	text[]	['4T3']
geometric_number_fields	text[]	['4.0.29319025.1']
geometric_splitting_field	text	'4.0.29319025.1'
geometric_splitting_polynomials	numeric[]	[[73469, -127, 558, -1, 1]]
group_structure_count	smallint
has_geom_ss_factor	boolean	False
has_jacobian	smallint	1
has_principal_polarization	smallint	1
hyp_count	integer
is_cyclic	boolean	False
is_geometrically_simple	boolean	True
is_geometrically_squarefree	boolean	True
is_primitive	boolean	True
is_simple	boolean	True
is_squarefree	boolean	True
is_supersingular	boolean	False
jacobian_count	integer
label	text	'2.512.j_fd'
max_divalg_dim	smallint	1
max_geom_divalg_dim	smallint	1
max_twist_degree	integer	2
newton_coelevation	smallint	2
newton_elevation	smallint	0
noncyclic_primes	integer[]	[3]
number_fields	text[]	['4.0.29319025.1']
p	smallint	2
p_rank	smallint	2
p_rank_deficit	smallint	0
pic_prime_gens	integer[]
poly	integer[]	[1, 9, 133, 4608, 262144]
poly_str	text	'1 9 133 4608 262144 '
primitive_models	text[]	[]
principal_polarization_count	integer
q	integer	512
real_poly	integer[]	[1, 9, -891]
simple_distinct	text[]	['2.512.j_fd']
simple_factors	text[]	['2.512.j_fdA']
simple_multiplicities	smallint[]	[1]
singular_primes	text[]
size	integer
slopes	text[]	['0A', '0B', '1A', '1B']
splitting_field	text	'4.0.29319025.1'
splitting_polynomials	numeric[]	[[73469, -127, 558, -1, 1]]
twist_count	integer	2
twists	jsonb	[['2.512.aj_fd', '2.262144.hd_badbd', 2]]
weak_equivalence_count	smallint
zfv_index	numeric
zfv_index_factorization	numeric[]
zfv_is_bass	boolean
zfv_is_maximal	boolean
zfv_pic_size	integer
zfv_plus_index	numeric
zfv_plus_index_factorization	numeric[]
zfv_plus_norm	numeric
zfv_singular_count	smallint
zfv_singular_primes	text[]

0. label: 2.2.a_ae
   {'abvar_count': 1, 'abvar_counts': [1, 1, 49, 81, 961, 2401, 16129, 50625, 261121, 923521], 'abvar_counts_str': '1 1 49 81 961 2401 16129 50625 261121 923521 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.0, 0.0, 1.0, 1.0], 'center_dim': 2, 'curve_count': 3, 'curve_counts': [3, -3, 9, 1, 33, 33, 129, 193, 513, 897], 'curve_counts_str': '3 -3 9 1 33 33 129 193 513 897 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 0, 'label': '2.2.a_ae', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [], 'number_fields': ['2.2.8.1'], 'p': 2, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, -4, 0, 4], 'poly_str': '1 0 -4 0 4 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, 0, -8], 'simple_distinct': ['2.2.a_ae'], 'simple_factors': ['2.2.a_aeA'], 'simple_multiplicities': [1], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '2.2.8.1', 'splitting_polynomials': [[-2, 0, 1]], 'twist_count': 11, 'twists': [['2.2.a_c', '2.8.a_aq', 3], ['2.2.a_e', '2.16.aq_ds', 4], ['2.2.a_c', '2.64.abg_ou', 6], ['2.2.ae_i', '2.256.acm_chc', 8], ['2.2.ac_e', '2.256.acm_chc', 8], ['2.2.a_a', '2.256.acm_chc', 8], ['2.2.c_e', '2.256.acm_chc', 8], ['2.2.e_i', '2.256.acm_chc', 8], ['2.2.a_ac', '2.4096.ajw_bkjg', 12], ['2.2.ac_c', '2.16777216.ayge_imhifg', 24], ['2.2.c_c', '2.16777216.ayge_imhifg', 24]]}