Abelian variety isogeny class data - 3.19.e_bu_fv

Formats: - HTML - YAML - JSON - 2026-02-01T07:49:07.034366

• 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': 9379, 'abvar_counts': [9379, 57971599, 321088536223, 2205419859661291, 15154877204996062129, 104155524595856879674711, 714297169165999022092748223, 4898635339759602266294009650291, 33600558346663134948139580005278016, 230466775868202796679896618135157745559], 'abvar_counts_str': '9379 57971599 321088536223 2205419859661291 15154877204996062129 104155524595856879674711 714297169165999022092748223 4898635339759602266294009650291 33600558346663134948139580005278016 230466775868202796679896618135157745559 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.428604814530005, 0.503218498718514, 0.734194680515387], 'center_dim': 6, 'curve_count': 24, 'curve_counts': [24, 438, 6825, 129858, 2471814, 47058609, 893981462, 16983120690, 322687154244, 6131070460278], 'curve_counts_str': '24 438 6825 129858 2471814 47058609 893981462 16983120690 322687154244 6131070460278 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T6'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T6'], 'geometric_number_fields': ['6.0.550527691.3'], 'geometric_splitting_field': '6.0.550527691.3', 'geometric_splitting_polynomials': [[4067, -735, 770, -76, 48, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 0, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.19.e_bu_fv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['6.0.550527691.3'], 'p': 19, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, 4, 46, 151, 874, 1444, 6859], 'poly_str': '1 4 46 151 874 1444 6859 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, 4, -11, -1], 'simple_distinct': ['3.19.e_bu_fv'], 'simple_factors': ['3.19.e_bu_fvA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.550527691.3', 'splitting_polynomials': [[4067, -735, 770, -76, 48, -2, 1]], 'twist_count': 2, 'twists': [['3.19.ae_bu_afv', '3.361.cy_dye_dkkz', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.19.e_bu_fv', 'extension_degree': 1, 'extension_label': '3.19.e_bu_fv', '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': '6.0.550527691.3', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.19.e_bu_fv', 'galois_group': '6T6', 'places': [['18', '17', '1', '1', '0', '0'], ['14', '18', '4', '5', '0', '0']]}