Abelian variety isogeny class data - 3.2.ad_j_an

Formats: - HTML - YAML - JSON - 2026-07-01T09:03:10.258866

• 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': 8, 'abvar_counts': [8, 512, 2744, 4096, 10648, 175616, 2863288, 23887872, 138991832, 907039232], 'abvar_counts_str': '8 512 2744 4096 10648 175616 2863288 23887872 138991832 907039232 ', 'angle_corank': 2, 'angle_rank': 1, 'angles': [0.384973271918692, 0.384973271918692, 0.384973271918692], 'center_dim': 2, 'curve_count': 0, 'curve_counts': [0, 14, 24, 14, 0, 38, 168, 350, 528, 854], 'curve_counts_str': '0 14 24 14 0 38 168 350 528 854 ', 'curves': ['x^4+x^2*y^2+x^2*y*z+x^2*z^2+x*y^2*z+x*y*z^2+y^4+y^2*z^2+z^4=0'], 'dim1_distinct': 1, 'dim1_factors': 3, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 3, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 1, 'label': '3.2.ad_j_an', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 14, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.7.1'], 'p': 2, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -3, 9, -13, 18, -12, 8], 'poly_str': '1 -3 9 -13 18 -12 8 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -3, 3, -1], 'simple_distinct': ['1.2.ab'], 'simple_factors': ['1.2.abA', '1.2.abB', '1.2.abC'], 'simple_multiplicities': [3], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '2.0.7.1', 'splitting_polynomials': [[2, -1, 1]], 'twist_count': 14, 'twists': [['3.2.ab_f_ad', '3.4.j_bn_dv', 2], ['3.2.b_f_d', '3.4.j_bn_dv', 2], ['3.2.d_j_n', '3.4.j_bn_dv', 2], ['3.2.a_a_f', '3.8.p_dv_ob', 3], ['3.2.ab_ab_d', '3.16.ad_bz_adt', 4], ['3.2.b_ab_ad', '3.16.ad_bz_adt', 4], ['3.2.ac_c_ad', '3.64.abb_qt_agez', 6], ['3.2.a_a_af', '3.64.abb_qt_agez', 6], ['3.2.c_c_d', '3.64.abb_qt_agez', 6], ['3.2.ad_c_b', '3.128.bn_bih_san', 7], ['3.2.e_j_p', '3.128.bn_bih_san', 7], ['3.2.ae_j_ap', '3.16384.kb_echv_uebrj', 14], ['3.2.d_c_ab', '3.16384.kb_echv_uebrj', 14]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.2.ad_j_an', 'extension_degree': 1, 'extension_label': '1.2.ab', 'multiplicity': 3}
• 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': '1.2.ab', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}