Abelian variety isogeny class data - 2.23.am_ct

Formats: - HTML - YAML - JSON - 2026-05-28T08:47:15.576797

• 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': 313, 'abvar_counts': [313, 278257, 148032724, 78016862889, 41382431470873, 21913687374860176, 11593243563454830121, 6132653583584207524425, 3244150909896622595595796, 1716155716281448713239689777], 'abvar_counts_str': '313 278257 148032724 78016862889 41382431470873 21913687374860176 11593243563454830121 6132653583584207524425 3244150909896622595595796 1716155716281448713239689777 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0764113711972781, 0.409744704530611], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 12, 'curve_counts': [12, 528, 12168, 278788, 6429492, 148029558, 3404945052, 78311536516, 1801152661464, 41426508436368], 'curve_counts_str': '12 528 12168 278788 6429492 148029558 3404945052 78311536516 1801152661464 41426508436368 ', 'curves': ['y^2=5*x^6+7*x^5+8*x^4+15*x^3+3*x^2+11*x+11', 'y^2=18*x^6+10*x^5+x^4+17*x^3+15*x^2+18*x+20', 'y^2=15*x^6+19*x^5+8*x^4+2*x^3+2*x+15', 'y^2=20*x^6+3*x^5+22*x^4+21*x^3+3*x^2+4*x+5', 'y^2=17*x^6+21*x^5+6*x^4+8*x^3+18*x^2+12*x+17', 'y^2=10*x^6+4*x^5+10*x^4+x^3+5*x^2+4*x+17'], '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': 2, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 6, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.132.1'], 'geometric_splitting_field': '2.0.132.1', 'geometric_splitting_polynomials': [[33, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.23.am_ct', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.17424.3'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -12, 71, -276, 529], 'poly_str': '1 -12 71 -276 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, -12, 25], 'simple_distinct': ['2.23.am_ct'], 'simple_factors': ['2.23.am_ctA'], 'simple_multiplicities': [1], 'singular_primes': ['7,11*F+3*V-35'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.17424.3', 'splitting_polynomials': [[121, 0, 11, 0, 1]], 'twist_count': 4, 'twists': [['2.23.m_ct', '2.529.ac_auf', 2], ['2.23.a_c', '2.12167.a_aeru', 3], ['2.23.m_ct', '2.12167.a_aeru', 3], ['2.23.a_ac', '2.21914624432020321.bwdxwnk_bigcppxdxlkuo', 12]], 'weak_equivalence_count': 2, 'zfv_index': 7, 'zfv_index_factorization': [[7, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 441, 'zfv_singular_count': 2, 'zfv_singular_primes': ['7,11*F+3*V-35']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 13832
    {'base_label': '2.23.am_ct', 'extension_degree': 1, 'extension_label': '2.23.am_ct', 'multiplicity': 1}
  • id: 13833
    {'base_label': '2.23.am_ct', 'extension_degree': 2, 'extension_label': '2.529.ac_auf', 'multiplicity': 1}
  • id: 13834
    {'base_label': '2.23.am_ct', 'extension_degree': 3, 'extension_label': '2.12167.a_aeru', 'multiplicity': 1}
  • id: 13835
    {'base_label': '2.23.am_ct', 'extension_degree': 6, 'extension_label': '1.148035889.aeru', 'multiplicity': 2}
• 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': '4.0.17424.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.am_ct', 'galois_group': '4T2', 'places': [['1', '11', '2', '0'], ['22', '11', '21', '0']]}
• 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': '4.0.17424.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.529.ac_auf', 'galois_group': '4T2', 'places': [['1', '11', '2', '0'], ['22', '11', '21', '0']]}
• 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': '4.0.17424.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.12167.a_aeru', 'galois_group': '4T2', 'places': [['22', '11', '21', '0'], ['1', '11', '2', '0']]}
• 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': '2.0.132.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.148035889.aeru', 'galois_group': '2T1', 'places': [['17', '1'], ['6', '1']]}