Abelian variety isogeny class data - 2.23.ae_bv

Formats: - HTML - YAML - JSON - 2025-09-10T18:02:30.706256

• 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': 481, 'abvar_counts': [481, 323713, 150789652, 78025515529, 41392260253201, 21915524948760976, 11593047581231250433, 6132611438117486308233, 3244151832606957078522196, 1716155993935195379423855713], 'abvar_counts_str': '481 323713 150789652 78025515529 41392260253201 21915524948760976 11593047581231250433 6132611438117486308233 3244151832606957078522196 1716155993935195379423855713 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.372788405404345, 0.491106654401417], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 608, 12392, 278820, 6431020, 148041974, 3404887492, 78310998340, 1801153173752, 41426515138688], 'curve_counts_str': '20 608 12392 278820 6431020 148041974 3404887492 78310998340 1801153173752 41426515138688 ', 'curves': ['y^2=x^6+16*x^4+11*x^3+21*x^2+18*x+18', 'y^2=14*x^6+2*x^5+2*x^4+x^3+22*x^2+22*x+2', 'y^2=15*x^6+3*x^5+9*x^4+4*x^3+10*x^2+21*x+22', 'y^2=3*x^6+15*x^5+15*x^4+14*x^3+5*x^2+20*x+11', 'y^2=19*x^6+16*x^5+16*x^4+8*x^3+20*x^2+12*x+18', 'y^2=3*x^6+21*x^5+4*x^4+19*x^2+22*x+14', 'y^2=4*x^6+2*x^5+6*x^4+12*x^3+22*x^2+22*x+14', 'y^2=17*x^6+17*x^5+8*x^4+7*x^3+9*x^2+9*x+18', 'y^2=5*x^6+20*x^5+22*x^4+12*x^3+3*x^2+2*x+17', 'y^2=5*x^6+3*x^5+10*x^4+17*x^3+17*x^2+16', 'y^2=17*x^6+22*x^5+11*x^3+x^2+6*x+2', 'y^2=18*x^6+20*x^5+19*x^4+8*x^3+16*x^2+15*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': 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': ['4.0.1033488.1'], 'geometric_splitting_field': '4.0.1033488.1', 'geometric_splitting_polynomials': [[481, -6, 41, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.23.ae_bv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.1033488.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 11, 1, 4], [1, 11, 2, 12]], 'poly': [1, -4, 47, -92, 529], 'poly_str': '1 -4 47 -92 529 ', 'primitive_models': [], 'principal_polarization_count': 12, 'q': 23, 'real_poly': [1, -4, 1], 'simple_distinct': ['2.23.ae_bv'], 'simple_factors': ['2.23.ae_bvA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 12, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1033488.1', 'splitting_polynomials': [[481, -6, 41, 0, 1]], 'twist_count': 2, 'twists': [['2.23.e_bv', '2.529.da_dtj', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 12, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 7177, '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': '2.23.ae_bv', 'extension_degree': 1, 'extension_label': '2.23.ae_bv', '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': '4.0.1033488.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.ae_bv', 'galois_group': '4T3', 'places': [['15', '1', '0', '0'], ['6', '1', '0', '0'], ['113/23', '19/23', '22/23', '1/23'], ['320/23', '19/23', '22/23', '1/23']]}