Abelian variety isogeny class data - 2.4.b_ae

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_rank	smallint
  angles	double precision[]
  center_dim	smallint
  curve_count	integer
  curve_counts	numeric[]
  curve_counts_str	text
  curves	text[]
  dim1_distinct	smallint
  dim1_factors	smallint
  dim2_distinct	smallint
  dim2_factors	smallint
  dim3_distinct	smallint
  dim3_factors	smallint
  dim4_distinct	smallint
  dim4_factors	smallint
  dim5_distinct	smallint
  dim5_factors	smallint
  g	smallint
  galois_groups	text[]
  geom_dim1_distinct	smallint
  geom_dim1_factors	smallint
  geom_dim2_distinct	smallint
  geom_dim2_factors	smallint
  geom_dim3_distinct	smallint
  geom_dim3_factors	smallint
  geom_dim4_distinct	smallint
  geom_dim4_factors	smallint
  geom_dim5_distinct	smallint
  geom_dim5_factors	smallint
  geometric_center_dim	smallint
  geometric_extension_degree	smallint
  geometric_galois_groups	text[]
  geometric_number_fields	text[]
  geometric_splitting_field	text
  geometric_splitting_polynomials	numeric[]
  has_geom_ss_factor	boolean
  has_jacobian	smallint
  has_principal_polarization	smallint
  hyp_count	integer
  is_geometrically_simple	boolean
  is_geometrically_squarefree	boolean
  is_primitive	boolean
  is_simple	boolean
  is_squarefree	boolean
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	integer
  number_fields	text[]
  p	smallint
  p_rank	smallint
  p_rank_deficit	smallint
  pic_prime_gens	integer[]
  poly	integer[]
  poly_str	text
  primitive_models	text[]
  principal_polarization_count	integer
  q	integer
  real_poly	integer[]
  simple_distinct	text[]
  simple_factors	text[]
  simple_multiplicities	smallint[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric

  
  {'abvar_count': 18, 'abvar_counts': [18, 144, 5994, 64800, 1178298, 16447536, 271215018, 4232347200, 68725531674, 1096109357904], 'abvar_counts_str': '18 144 5994 64800 1178298 16447536 271215018 4232347200 68725531674 1096109357904 ', 'angle_rank': 1, 'angles': [0.230053456162616, 1.0, 1.0], 'center_dim': 3, 'curve_count': 6, 'curve_counts': [6, 8, 90, 256, 1146, 4016, 16554, 64576, 262170, 1045328], 'curve_counts_str': '6 8 90 256 1146 4016 16554 64576 262170 1045328 ', 'curves': [], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['2T1', '1T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 0, 'label': '2.4.b_ae', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 6, 'number_fields': ['2.0.7.1', '1.1.1.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 1, -4, 4, 16], 'poly_str': '1 1 -4 4 16 ', 'primitive_models': [], 'q': 4, 'real_poly': [1, 1, -12], 'simple_distinct': ['1.4.ad', '1.4.e'], 'simple_factors': ['1.4.adA', '1.4.eA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '2.0.7.1', 'splitting_polynomials': [[2, -1, 1]], 'twist_count': 10, 'twists': [['2.4.ah_u', '2.16.aj_bo', 2], ['2.4.ab_ae', '2.16.aj_bo', 2], ['2.4.h_u', '2.16.aj_bo', 2], ['2.4.af_o', '2.64.z_km', 3], ['2.4.ad_i', '2.256.ab_asm', 4], ['2.4.d_i', '2.256.ab_asm', 4], ['2.4.ab_c', '2.4096.add_dfs', 6], ['2.4.b_c', '2.4096.add_dfs', 6], ['2.4.f_o', '2.4096.add_dfs', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 6746
    {'base_label': '2.4.b_ae', 'extension_degree': 1, 'extension_label': '1.4.ad', 'multiplicity': 1}
  • id: 6747
    {'base_label': '2.4.b_ae', 'extension_degree': 1, 'extension_label': '1.4.e', 'multiplicity': 1}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.ad', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.4.e', 'galois_group': '1T1', 'places': [['0']]}