Abelian variety isogeny class data - 2.23.i_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': 768, 'abvar_counts': [768, 294912, 147573504, 78220099584, 41394651310848, 21921593034571776, 11592604884933747456, 6132568225312722124800, 3244153424380012100825856, 1716155882001959451128266752], 'abvar_counts_str': '768 294912 147573504 78220099584 41394651310848 21921593034571776 11592604884933747456 6132568225312722124800 3244153424380012100825856 1716155882001959451128266752 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.5, 0.813988011405393], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 32, 'curve_counts': [32, 558, 12128, 279518, 6431392, 148082958, 3404757472, 78310446526, 1801154057504, 41426512436718], 'curve_counts_str': '32 558 12128 279518 6431392 148082958 3404757472 78310446526 1801154057504 41426512436718 ', 'curves': ['y^2=10*x^6+21*x^5+12*x^4+3*x^3+x^2+15*x+11', 'y^2=16*x^6+16*x^5+10*x^3+16*x+16', 'y^2=13*x^6+19*x^5+x^4+15*x^3+21*x^2+20*x+3', 'y^2=16*x^6+18*x^5+4*x^4+9*x^3+13*x^2+9*x+3', 'y^2=10*x^5+3*x^4+8*x^3+3*x^2+10*x', 'y^2=22*x^6+16*x^5+2*x^3+2*x+21', 'y^2=2*x^6+21*x^5+21*x^4+3*x^3+21*x^2+21*x+2', 'y^2=18*x^6+20*x^5+x^4+3*x^3+17*x^2+18*x+18', 'y^2=x^6+19*x^5+6*x^4+x^3+9*x^2+18*x+2', 'y^2=6*x^6+10*x^5+11*x^4+22*x^3+20*x^2+9*x+14', 'y^2=11*x^6+9*x^4+9*x^3+17*x^2+x+9', 'y^2=8*x^6+9*x^5+2*x^4+13*x^3+13*x^2+3*x+4', 'y^2=15*x^6+21*x^5+6*x^4+13*x^3+12*x^2+15*x+5', 'y^2=18*x^6+7*x^4+5*x^3+7*x^2+18', 'y^2=16*x^6+14*x^5+20*x^4+8*x^3+3*x^2+19*x+13', 'y^2=20*x^6+7*x^5+5*x^4+15*x^3+14*x^2+19*x+14', 'y^2=16*x^6+3*x^5+3*x^4+11*x^3+3*x^2+3*x+16', 'y^2=6*x^6+5*x^5+4*x^4+6*x^3+10*x^2+3*x+2', 'y^2=4*x^6+8*x^5+2*x^4+16*x^3+12*x^2+13*x+11', 'y^2=22*x^6+10*x^5+2*x^4+10*x^2+3*x+19', 'y^2=8*x^6+12*x^5+7*x^4+8*x^3+17*x+21', 'y^2=6*x^6+22*x^5+7*x^4+4*x^3+x^2+3*x+4', 'y^2=16*x^6+12*x^5+14*x^4+x^3+8*x^2+17*x', 'y^2=10*x^6+8*x^5+22*x^4+14*x^3+21*x^2+14*x+8', 'y^2=8*x^6+5*x^5+3*x^4+20*x^3+5*x^2+6', 'y^2=3*x^6+11*x^5+11*x^4+x^3+6*x^2+15', 'y^2=19*x^6+21*x^5+9*x^4+2*x^3+13*x^2+14*x+20', 'y^2=8*x^6+2*x^5+7*x^4+5*x^3+7*x^2+2*x+8', 'y^2=9*x^6+8*x^5+x^4+9*x^3+5*x^2+6*x+14', 'y^2=16*x^6+15*x^5+4*x^4+2*x^3+8*x^2+5*x+4', 'y^2=13*x^6+7*x^5+22*x^4+19*x^2+22*x+15', 'y^2=18*x^6+7*x^5+12*x^4+x^3+18*x^2+x', 'y^2=17*x^6+17*x^5+x^4+9*x^3+5*x^2+13*x+2', 'y^2=13*x^6+4*x^5+7*x^4+16*x^3+7*x^2+4*x+13', 'y^2=18*x^6+2*x^5+9*x^4+12*x^3+9*x^2+2*x+18', 'y^2=11*x^6+4*x^5+19*x^4+x^3+7*x^2+11*x+15', 'y^2=4*x^6+10*x^5+2*x^4+18*x^3+13*x+2', 'y^2=2*x^6+6*x^5+8*x^4+9*x^3+4*x^2+11*x+1', 'y^2=9*x^6+x^5+5*x^4+x^3+21*x^2+2*x+2', 'y^2=17*x^6+2*x^5+13*x^4+2*x^3+13*x^2+2*x+17', 'y^2=3*x^6+3*x^5+3*x^4+14*x^3+x^2+8*x+18', 'y^2=4*x^6+22*x^5+8*x^4+22*x^3+8*x^2+22*x+4', 'y^2=3*x^6+16*x^5+22*x^4+3*x^3+2*x^2+10*x+13', 'y^2=4*x^6+22*x^5+2*x^4+2*x^3+10*x^2+7*x+5', 'y^2=2*x^6+19*x^5+14*x^4+x^3+11*x^2+20*x+15', 'y^2=17*x^6+x^5+18*x^3+21*x^2+x+21', 'y^2=18*x^6+8*x^5+x^4+4*x^3+x^2+12*x+4', 'y^2=x^5+21*x^4+21*x^3+17*x^2+9*x', 'y^2=10*x^6+5*x^5+13*x^4+19*x^3+13*x^2+5*x+10', 'y^2=8*x^6+18*x^5+4*x^4+7*x^3+4*x^2+18*x+8', 'y^2=6*x^6+10*x^5+16*x^4+6*x^3+16*x^2+10*x+6', 'y^2=13*x^6+17*x^5+3*x^4+7*x^3+16*x^2+15*x+8', 'y^2=4*x^6+22*x^5+18*x^3+21*x+6', 'y^2=13*x^6+21*x^5+16*x^4+x^3+16*x^2+21*x+13'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 41, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'group_structure_count': 11, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 54, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 54, 'label': '2.23.i_bu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [2], 'number_fields': ['2.0.23.1', '2.0.7.1'], 'p': 23, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, 8, 46, 184, 529], 'poly_str': '1 8 46 184 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 8], 'simple_distinct': ['1.23.a', '1.23.i'], 'simple_factors': ['1.23.aA', '1.23.iA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-7*F-1'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.25921.1', 'splitting_polynomials': [[16, 0, 15, 0, 1]], 'twist_count': 2, 'twists': [['2.23.ai_bu', '2.529.bc_iw', 2]], 'weak_equivalence_count': 79, 'zfv_index': 256, 'zfv_index_factorization': [[2, 8]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2576, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-7*F-1']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 13910
    {'base_label': '2.23.i_bu', 'extension_degree': 1, 'extension_label': '1.23.a', 'multiplicity': 1}
  • id: 13911
    {'base_label': '2.23.i_bu', 'extension_degree': 1, 'extension_label': '1.23.i', 'multiplicity': 1}
  • id: 13912
    {'base_label': '2.23.i_bu', 'extension_degree': 2, 'extension_label': '1.529.as', 'multiplicity': 1}
  • id: 13913
    {'base_label': '2.23.i_bu', 'extension_degree': 2, 'extension_label': '1.529.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'], 'center': '2.0.23.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.a', 'galois_group': '2T1', 'places': [['11', '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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.i', 'galois_group': '2T1', 'places': [['13', '1'], ['9', '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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.529.as', 'galois_group': '2T1', 'places': [['9', '1'], ['13', '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': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.529.bu', 'galois_group': '1T1', 'places': [['0']]}