Abelian variety isogeny class data - 2.17.aj_bu

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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': 174, 'abvar_counts': [174, 86652, 24410808, 6955729344, 2015469561774, 582932438477568, 168410708192052318, 48662191704444602112, 14063046087231918221688, 4064229474706288087398972], 'abvar_counts_str': '174 86652 24410808 6955729344 2015469561774 582932438477568 168410708192052318 48662191704444602112 14063046087231918221688 4064229474706288087398972 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.147872872550892, 0.43675351190599], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 9, 'curve_counts': [9, 301, 4968, 83281, 1419489, 24150418, 410418801, 6975900769, 118587552984, 2015992942141], 'curve_counts_str': '9 301 4968 83281 1419489 24150418 410418801 6975900769 118587552984 2015992942141 ', 'curves': ['y^2=11*x^6+9*x^5+5*x^4+16*x^3+5*x^2+10', 'y^2=14*x^5+11*x^4+11*x^3+7*x^2+14*x+7', 'y^2=12*x^6+5*x^5+9*x^4+12*x^3+9*x^2+15*x+7', 'y^2=11*x^6+2*x^5+10*x^4+6*x^3+6*x^2+14*x+6', 'y^2=6*x^6+2*x^5+14*x^4+16*x^3+4*x^2+2*x+7', 'y^2=14*x^6+2*x^5+4*x^4+14*x^3+11*x+9', 'y^2=7*x^5+x^4+9*x^3+6*x^2+7*x+1', 'y^2=2*x^6+7*x^5+7*x^4+10*x^3+10*x^2+10', 'y^2=14*x^6+16*x^5+6*x^4+15*x^3+13*x^2+13*x+11', 'y^2=11*x^6+11*x^5+2*x^4+12*x^3+3*x^2+4*x+14'], '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': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.971388.2'], 'geometric_splitting_field': '4.0.971388.2', 'geometric_splitting_polynomials': [[111, -45, 16, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 10, 'label': '2.17.aj_bu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.971388.2'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -9, 46, -153, 289], 'poly_str': '1 -9 46 -153 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, -9, 12], 'simple_distinct': ['2.17.aj_bu'], 'simple_factors': ['2.17.aj_buA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.971388.2', 'splitting_polynomials': [[111, -45, 16, -1, 1]], 'twist_count': 2, 'twists': [['2.17.j_bu', '2.289.l_aci', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 892, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.17.aj_bu', 'extension_degree': 1, 'extension_label': '2.17.aj_bu', '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', '0', '0'], 'center': '4.0.971388.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.aj_bu', 'galois_group': '4T3', 'places': [['8', '1', '0', '0'], ['4', '1', '0', '0'], ['158/17', '32/17', '8/17', '3/17'], ['73/17', '32/17', '8/17', '3/17']]}