Abelian variety isogeny class data - 2.121.abl_wm

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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': 10712, 'abvar_counts': [10712, 211454880, 3139742902400, 45957807461704320, 672765656169997676312, 9849753364331996833536000, 144209954766436326587420426072, 2111377680045892462668512120916480, 30912680512928015734180824943224041600, 452592555628426151233382775792089077092000], 'abvar_counts_str': '10712 211454880 3139742902400 45957807461704320 672765656169997676312 9849753364331996833536000 144209954766436326587420426072 2111377680045892462668512120916480 30912680512928015734180824943224041600 452592555628426151233382775792089077092000 ', 'angle_rank': 2, 'angles': [0.168181340660608, 0.194982229042137], 'center_dim': 4, 'curve_count': 85, 'curve_counts': [85, 14441, 1772302, 214396561, 25938028405, 3138434968718, 379749882720685, 45949729983499681, 5559917309905369342, 672749994853283357801], 'curve_counts_str': '85 14441 1772302 214396561 25938028405 3138434968718 379749882720685 45949729983499681 5559917309905369342 672749994853283357801 ', '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', '2T1'], '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.123.1', '2.0.40.1'], 'geometric_splitting_field': '4.0.24206400.2', 'geometric_splitting_polynomials': [[451, -82, 83, -2, 1]], 'has_geom_ss_factor': False, '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': '2.121.abl_wm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['2.0.123.1', '2.0.40.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [2, 5, 1, 2], [2, 7, 1, 2]], 'poly': [1, -37, 584, -4477, 14641], 'poly_str': '1 -37 584 -4477 14641 ', 'primitive_models': [], 'principal_polarization_count': 12, 'q': 121, 'real_poly': [1, -37, 342], 'simple_distinct': ['1.121.at', '1.121.as'], 'simple_factors': ['1.121.atA', '1.121.asA'], 'simple_multiplicities': [1, 1], 'size': 12, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.24206400.2', 'splitting_polynomials': [[451, -82, 83, -2, 1]], 'twist_count': 4, 'twists': [['2.121.ab_adw', '2.14641.aht_cfto', 2], ['2.121.b_adw', '2.14641.aht_cfto', 2], ['2.121.bl_wm', '2.14641.aht_cfto', 2]], 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 19680}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 213161
    {'base_label': '2.121.abl_wm', 'extension_degree': 1, 'extension_label': '1.121.at', 'multiplicity': 1}
  • id: 213162
    {'base_label': '2.121.abl_wm', 'extension_degree': 1, 'extension_label': '1.121.as', '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': '2.0.123.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.at', 'galois_group': '2T1', 'places': [['1', '1'], ['9', '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': '2.0.40.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.121.as', 'galois_group': '2T1', 'places': [['1', '1'], ['10', '1']]}