Abelian variety isogeny class data - 2.19.ac_bi

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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_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
  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': 356, 'abvar_counts': [356, 155216, 47611796, 16899918080, 6128782130196, 2213317943373776, 798986486472827876, 288443962398450913280, 104127803274337002955076, 37589953979795493908964816], 'abvar_counts_str': '356 155216 47611796 16899918080 6128782130196 2213317943373776 798986486472827876 288443962398450913280 104127803274337002955076 37589953979795493908964816 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.37894558378035, 0.545284718377411], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 426, 6942, 129678, 2475178, 47045946, 893849142, 16983713118, 322689101538, 6131063080906], 'curve_counts_str': '18 426 6942 129678 2475178 47045946 893849142 16983713118 322689101538 6131063080906 ', 'curves': ['y^2=6*x^5+8*x^4+3*x^3+18*x^2+7*x+14', 'y^2=18*x^6+6*x^5+16*x^4+9*x^3+x+16', 'y^2=15*x^6+12*x^5+18*x^4+2*x^3+18*x^2+15*x+18', 'y^2=15*x^6+6*x^5+12*x^4+11*x^3+15*x^2+2*x+17', 'y^2=6*x^6+15*x^5+13*x^4+3*x^3+14*x^2+3*x+7', 'y^2=6*x^6+7*x^5+10*x^4+15*x^3+x^2+10*x+18', 'y^2=11*x^6+4*x^4+17*x^3+15*x^2+15*x+18', 'y^2=2*x^6+6*x^5+5*x^4+6*x^3+3*x^2+4*x+6', 'y^2=12*x^6+3*x^5+9*x^4+x^3+5*x^2+13*x+7', 'y^2=10*x^6+17*x^5+7*x^4+2*x^3+3*x^2+9*x+8', 'y^2=11*x^6+8*x^5+7*x^4+15*x^3+14*x^2+14*x+6', 'y^2=16*x^6+10*x^5+15*x^4+x^3+9*x^2+18*x+14', 'y^2=16*x^6+13*x^5+8*x^4+11*x^3+11*x^2+8*x+4', 'y^2=2*x^6+10*x^5+18*x^4+10*x^3+10*x^2+7*x+12', 'y^2=13*x^6+14*x^5+7*x^4+15*x^3+16*x^2+16*x+4', 'y^2=10*x^6+18*x^4+12*x^3+15*x+17', 'y^2=6*x^6+14*x^5+6*x^4+16*x^3+6*x^2+5*x+8', 'y^2=3*x^6+7*x^5+3*x^4+10*x^3+5*x+1', 'y^2=7*x^6+4*x^5+16*x^4+2*x^3+15*x^2+7*x+4', 'y^2=14*x^6+7*x^5+x^4+2*x^3+13*x^2+15*x+18', 'y^2=18*x^6+7*x^5+x^4+12*x^3+15*x^2+7', 'y^2=13*x^6+8*x^5+15*x^4+17*x^3+13*x^2+10*x', 'y^2=x^6+9*x^5+12*x^4+18*x^3+2*x^2+6*x+14', 'y^2=18*x^6+4*x^5+17*x^4+x^3+6*x^2+16*x+9'], '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': 3, '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': ['4.0.122000.2'], 'geometric_splitting_field': '4.0.122000.2', 'geometric_splitting_polynomials': [[305, 0, 35, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.19.ac_bi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.122000.2'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 2], [1, 11, 1, 4], [1, 19, 1, 4]], 'poly': [1, -2, 34, -38, 361], 'poly_str': '1 -2 34 -38 361 ', 'primitive_models': [], 'principal_polarization_count': 24, 'q': 19, 'real_poly': [1, -2, -4], 'simple_distinct': ['2.19.ac_bi'], 'simple_factors': ['2.19.ac_biA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-3*F-2*V+9'], 'size': 32, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.122000.2', 'splitting_polynomials': [[305, 0, 35, 0, 1]], 'twist_count': 2, 'twists': [['2.19.c_bi', '2.361.cm_cok', 2]], 'weak_equivalence_count': 3, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 16, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 4880, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-3*F-2*V+9']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.19.ac_bi', 'extension_degree': 1, 'extension_label': '2.19.ac_bi', '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': '4.0.122000.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.ac_bi', 'galois_group': '4T3', 'places': [['4', '1', '0', '0'], ['14', '1', '0', '0'], ['15', '1', '0', '0'], ['5', '1', '0', '0']]}