Abelian variety isogeny class data - 2.11.ai_bg

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  all_polarized_product	boolean
  all_unpolarized_product	boolean
  angle_corank	smallint
  angle_rank	smallint
  angles	double precision[]
  center_dim	smallint
  cohen_macaulay_max	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
  endomorphism_ring_count	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[]
  group_structure_count	smallint
  has_geom_ss_factor	boolean
  has_jacobian	smallint
  has_principal_polarization	smallint
  hyp_count	integer
  is_cyclic	boolean
  is_geometrically_simple	boolean
  is_geometrically_squarefree	boolean
  is_primitive	boolean
  is_simple	boolean
  is_squarefree	boolean
  is_supersingular	boolean
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	integer
  newton_coelevation	smallint
  newton_elevation	smallint
  noncyclic_primes	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[]
  singular_primes	text[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  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[]

  
  {'abvar_count': 58, 'abvar_counts': [58, 14500, 1760938, 210250000, 25769191258, 3138431750500, 379935240802378, 45953639424000000, 5559842595347832058, 672749994932236862500], 'abvar_counts_str': '58 14500 1760938 210250000 25769191258 3138431750500 379935240802378 45953639424000000 5559842595347832058 672749994932236862500 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0750991438594786, 0.424900856140521], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 4, 'curve_counts': [4, 122, 1324, 14358, 160004, 1771562, 19496684, 214377118, 2357916004, 25937424602], 'curve_counts_str': '4 122 1324 14358 160004 1771562 19496684 214377118 2357916004 25937424602 ', 'curves': ['y^2=2*x^6+2*x^5+9*x^4+9*x^3+10*x^2+6*x+8', 'y^2=6*x^6+8*x^5+3*x^4+x^3+3*x+10', 'y^2=10*x^6+3*x^5+2*x^4+2*x^2+8*x+10'], '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, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['4T2'], '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.24.1'], 'geometric_splitting_field': '2.0.24.1', 'geometric_splitting_polynomials': [[6, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 3, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 3, 'label': '2.11.ai_bg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.2304.2'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -8, 32, -88, 121], 'poly_str': '1 -8 32 -88 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, -8, 10], 'simple_distinct': ['2.11.ai_bg'], 'simple_factors': ['2.11.ai_bgA'], 'simple_multiplicities': [1], 'singular_primes': ['5,-8*F-2*V+15'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2304.2', 'splitting_polynomials': [[9, 0, 0, 0, 1]], 'twist_count': 6, 'twists': [['2.11.i_bg', '2.121.a_afm', 2], ['2.11.i_bg', '2.14641.aky_cvdu', 4], ['2.11.a_ak', '2.214358881.bazk_brcckze', 8], ['2.11.a_k', '2.214358881.bazk_brcckze', 8], ['2.11.ag_x', '2.9849732675807611094711841.abwxilvhhou_bojmbtziktsrmrshihy', 24], ['2.11.g_x', '2.9849732675807611094711841.abwxilvhhou_bojmbtziktsrmrshihy', 24]], 'weak_equivalence_count': 2, 'zfv_index': 5, 'zfv_index_factorization': [[5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 100, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,-8*F-2*V+15']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 8717
    {'base_label': '2.11.ai_bg', 'extension_degree': 1, 'extension_label': '2.11.ai_bg', 'multiplicity': 1}
  • id: 8718
    {'base_label': '2.11.ai_bg', 'extension_degree': 2, 'extension_label': '2.121.a_afm', 'multiplicity': 1}
  • id: 8719
    {'base_label': '2.11.ai_bg', 'extension_degree': 4, 'extension_label': '1.14641.afm', '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': '4.0.2304.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.11.ai_bg', 'galois_group': '4T2', 'places': [['5', '3', '2', '0'], ['6', '3', '9', '0']]}
• 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': '4.0.2304.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.121.a_afm', 'galois_group': '4T2', 'places': [['5', '3', '2', '0'], ['6', '3', '9', '0']]}
• 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': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.14641.afm', 'galois_group': '2T1', 'places': [['4', '1'], ['7', '1']]}