Abelian variety isogeny class data - 2.31.aj_da

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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': 752, 'abvar_counts': [752, 998656, 903720512, 853207745536, 819357540167312, 787633230996557824, 756944343980702992208, 727422919141852720041984, 699053527524348661423725632, 671790547832716519747246648576], 'abvar_counts_str': '752 998656 903720512 853207745536 819357540167312 787633230996557824 756944343980702992208 727422919141852720041984 699053527524348661423725632 671790547832716519747246648576 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.299425345193821, 0.429727371569294], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 23, 'curve_counts': [23, 1037, 30332, 923865, 28619693, 887470382, 27512628971, 852890799889, 26439618663092, 819628310178677], 'curve_counts_str': '23 1037 30332 923865 28619693 887470382 27512628971 852890799889 26439618663092 819628310178677 ', 'curves': ['y^2=16*x^6+26*x^5+12*x^4+25*x^3+11*x^2+27', 'y^2=15*x^5+21*x^4+25*x^3+12*x^2+11*x', 'y^2=11*x^6+22*x^5+2*x^4+20*x^3+4*x^2+22*x+29', 'y^2=22*x^6+2*x^5+23*x^4+26*x^3+5*x^2+15*x+27', 'y^2=23*x^6+21*x^5+24*x^4+25*x^3+21*x^2+13*x+1', 'y^2=18*x^6+10*x^5+29*x^4+12*x^3+22*x^2+14*x+22', 'y^2=16*x^6+21*x^5+30*x^4+6*x^3+13*x^2+29*x+27', 'y^2=27*x^6+15*x^5+15*x^4+6*x^3+23*x^2+9*x+20', 'y^2=12*x^6+13*x^5+13*x^4+29*x^3+15*x^2+25*x+18', 'y^2=6*x^6+x^5+16*x^4+3*x^3+26*x^2+14*x+8', 'y^2=23*x^6+30*x^5+12*x^4+14*x^3+20*x^2+17*x+11', 'y^2=12*x^6+20*x^5+2*x^4+30*x^3+x^2+26*x+21', 'y^2=16*x^6+28*x^5+30*x^4+16*x^3+20*x^2+13*x+30', 'y^2=13*x^6+9*x^5+23*x^4+24*x^3+5*x^2+27*x+19', 'y^2=22*x^6+23*x^4+10*x^3+2*x^2+23', 'y^2=10*x^6+18*x^5+x^4+28*x^3+5*x^2+10*x+21', 'y^2=14*x^6+6*x^5+22*x^4+19*x^3+10*x^2+2*x+12', 'y^2=30*x^5+14*x^4+7*x^3+5*x^2+3*x+3', 'y^2=30*x^6+14*x^5+20*x^4+24*x^3+9*x^2+26*x+7', 'y^2=x^6+15*x^5+8*x^4+6*x^3+2*x^2+30*x+12', 'y^2=6*x^6+27*x^5+27*x^4+11*x^3+21*x^2+2*x+2', 'y^2=26*x^6+14*x^5+18*x^4+9*x^3+11*x^2+x', 'y^2=29*x^6+19*x^5+24*x^4+20*x^3+7*x^2+7*x+26', 'y^2=17*x^6+29*x^5+15*x^4+16*x^3+26*x^2+6*x+6', 'y^2=3*x^6+27*x^5+17*x^4+20*x^3+3*x^2+22*x+28', 'y^2=23*x^6+11*x^5+x^4+11*x^3+x^2+12*x+26'], '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': ['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': ['4.0.690421.1'], 'geometric_splitting_field': '4.0.690421.1', 'geometric_splitting_polynomials': [[659, -43, 48, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 26, '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': 26, 'label': '2.31.aj_da', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.690421.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 13]], 'poly': [1, -9, 78, -279, 961], 'poly_str': '1 -9 78 -279 961 ', 'primitive_models': [], 'principal_polarization_count': 26, 'q': 31, 'real_poly': [1, -9, 16], 'simple_distinct': ['2.31.aj_da'], 'simple_factors': ['2.31.aj_daA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F-5'], 'size': 26, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.690421.1', 'splitting_polynomials': [[659, -43, 48, -1, 1]], 'twist_count': 2, 'twists': [['2.31.j_da', '2.961.cx_eku', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 13, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 9556, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F-5']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.31.aj_da', 'extension_degree': 1, 'extension_label': '2.31.aj_da', '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': '4.0.690421.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.aj_da', 'galois_group': '4T3', 'places': [['810/31', '54/31', '958/31', '1/31'], ['2', '1', '0', '0']]}