Abelian variety isogeny class data - 2.11.ac_x

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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': 121, 'abvar_counts': [121, 20449, 1860496, 208600249, 25760571001, 3144238240000, 380049995306641, 45945306460164969, 5559469279446003856, 672750954721362268609], 'abvar_counts_str': '121 20449 1860496 208600249 25760571001 3144238240000 380049995306641 45945306460164969 5559469279446003856 672750954721362268609 ', 'angle_rank': 1, 'angles': [0.45182932554789, 0.45182932554789], 'center_dim': 2, 'curve_count': 10, 'curve_counts': [10, 164, 1396, 14244, 159950, 1774838, 19502570, 214338244, 2357757676, 25937461604], 'curve_counts_str': '10 164 1396 14244 159950 1774838 19502570 214338244 2357757676 25937461604 ', 'curves': ['y^2=4*x^6+10*x^5+4*x^4+4*x^3+4*x^2+10*x+4', 'y^2=7*x^6+5*x^5+9*x^4+8*x^3+5*x^2+6*x+7'], 'dim1_distinct': 1, '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'], '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.43.1'], 'geometric_splitting_field': '2.0.43.1', 'geometric_splitting_polynomials': [[11, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'jacobian_count': 2, 'label': '2.11.ac_x', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'number_fields': ['2.0.43.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -2, 23, -22, 121], 'poly_str': '1 -2 23 -22 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, -2, 1], 'simple_distinct': ['1.11.ab'], 'simple_factors': ['1.11.abA', '1.11.abB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.43.1', 'splitting_polynomials': [[11, -1, 1]], 'twist_count': 6, 'twists': [['2.11.a_v', '2.121.bq_bah', 2], ['2.11.c_x', '2.121.bq_bah', 2], ['2.11.b_ak', '2.1331.cm_flu', 3], ['2.11.a_av', '2.14641.api_dxxj', 4], ['2.11.ab_ak', '2.1771561.ewa_nqghy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.11.ac_x', 'extension_degree': 1, 'extension_label': '1.11.ab', 'multiplicity': 2}
• 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': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.ab', 'galois_group': '2T1', 'places': [['10', '1'], ['0', '1']]}