Abelian variety isogeny class data - 2.23.am_cs

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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': 312, 'abvar_counts': [312, 277056, 147591288, 77934744576, 41372398716792, 21912492430550592, 11593050789098338872, 6132622594404614750208, 3244147184171830704254136, 1716155387905118298314020416], 'abvar_counts_str': '312 277056 147591288 77934744576 41372398716792 21912492430550592 11593050789098338872 6132622594404614750208 3244147184171830704254136 1716155387905118298314020416 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0519709137118875, 0.414830815663042], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 12, 'curve_counts': [12, 526, 12132, 278494, 6427932, 148021486, 3404888436, 78311140798, 1801150592940, 41426500509646], 'curve_counts_str': '12 526 12132 278494 6427932 148021486 3404888436 78311140798 1801150592940 41426500509646 ', 'curves': ['y^2=5*x^6+20*x^5+12*x^4+x^3+3*x^2+11*x', 'y^2=11*x^6+22*x^5+16*x^4+x^3+4*x^2+10*x+22', 'y^2=10*x^6+13*x^5+18*x^4+5*x^3+12*x^2+10*x+11', 'y^2=21*x^6+11*x^5+7*x^4+16*x^2+21*x+22', 'y^2=7*x^6+8*x^5+13*x^4+15*x^3+14*x^2+22*x+10', 'y^2=12*x^6+22*x^5+19*x^4+12*x^3+21*x^2+2*x+5', 'y^2=10*x^6+11*x^5+14*x^4+19*x^3+9*x^2+13*x+21', 'y^2=3*x^6+14*x^5+22*x^4+5*x^3+21*x^2+17*x+20', 'y^2=22*x^6+18*x^5+11*x^4+2*x^3+5*x^2+20*x+14', 'y^2=20*x^6+19*x^5+2*x^4+4*x^3+14*x^2+16*x+22', 'y^2=7*x^6+22*x^5+21*x^3+12*x^2+11*x+20', 'y^2=21*x^6+18*x^5+19*x^4+12*x^3+7*x^2+13*x+10', 'y^2=13*x^5+x^4+18*x^3+6*x^2+22*x+19', 'y^2=17*x^6+17*x^5+19*x^4+22*x^3+7*x^2+15*x+18'], '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': 4, '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': ['4.0.7488.1'], 'geometric_splitting_field': '4.0.7488.1', 'geometric_splitting_polynomials': [[6, 0, 4, -2, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.23.am_cs', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.7488.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 4], [1, 13, 1, 2]], 'poly': [1, -12, 70, -276, 529], 'poly_str': '1 -12 70 -276 529 ', 'primitive_models': [], 'principal_polarization_count': 14, 'q': 23, 'real_poly': [1, -12, 24], 'simple_distinct': ['2.23.am_cs'], 'simple_factors': ['2.23.am_csA'], 'simple_multiplicities': [1], 'singular_primes': ['2,6*F+V-7'], 'size': 22, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.7488.1', 'splitting_polynomials': [[6, 0, 4, -2, 1]], 'twist_count': 2, 'twists': [['2.23.m_cs', '2.529.ae_azq', 2]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 8, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 208, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,6*F+V-7']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.23.am_cs', 'extension_degree': 1, 'extension_label': '2.23.am_cs', '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': '4.0.7488.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.am_cs', 'galois_group': '4T3', 'places': [['8', '1', '0', '0'], ['20', '1', '0', '0'], ['7', '1', '0', '0'], ['9', '1', '0', '0']]}