Abelian variety isogeny class data - 3.2.ac_c_a

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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_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': 5, 'abvar_counts': [5, 125, 845, 15625, 42025, 274625, 1851505, 11390625, 126091745, 1076890625], 'abvar_counts_str': '5 125 845 15625 42025 274625 1851505 11390625 126091745 1076890625 ', 'angle_corank': 3, 'angle_rank': 0, 'angles': [0.25, 0.25, 0.75], 'center_dim': 4, 'curve_count': 1, 'curve_counts': [1, 5, 13, 41, 41, 65, 113, 161, 481, 1025], 'curve_counts_str': '1 5 13 41 41 65 113 161 481 1025 ', 'curves': [], 'dim1_distinct': 2, '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', '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': 1, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': True, 'jacobian_count': 0, 'label': '3.2.ac_c_a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 0, 'newton_elevation': 4, 'number_fields': ['2.0.4.1', '2.0.4.1'], 'p': 2, 'p_rank': 0, 'p_rank_deficit': 3, 'poly': [1, -2, 2, 0, 4, -8, 8], 'poly_str': '1 -2 2 0 4 -8 8 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -2, -4, 8], 'simple_distinct': ['1.2.ac', '1.2.c'], 'simple_factors': ['1.2.acA', '1.2.acB', '1.2.cA'], 'simple_multiplicities': [2, 1], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D', '1/2E', '1/2F'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 25, 'twists': [['3.2.ag_s_abg', '3.4.a_m_a', 2], ['3.2.c_c_a', '3.4.a_m_a', 2], ['3.2.g_s_bg', '3.4.a_m_a', 2], ['3.2.e_i_m', '3.8.e_i_a', 3], ['3.2.ae_i_am', '3.64.a_hk_a', 6], ['3.2.a_a_ae', '3.64.a_hk_a', 6], ['3.2.a_a_e', '3.64.a_hk_a', 6], ['3.2.ae_k_aq', '3.256.ads_frs_aereu', 8], ['3.2.ac_ac_i', '3.256.ads_frs_aereu', 8], ['3.2.ac_g_ai', '3.256.ads_frs_aereu', 8], ['3.2.a_ac_a', '3.256.ads_frs_aereu', 8], ['3.2.a_c_a', '3.256.ads_frs_aereu', 8], ['3.2.a_g_a', '3.256.ads_frs_aereu', 8], ['3.2.c_ac_ai', '3.256.ads_frs_aereu', 8], ['3.2.c_g_i', '3.256.ads_frs_aereu', 8], ['3.2.e_k_q', '3.256.ads_frs_aereu', 8], ['3.2.ac_a_e', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.ac_e_ai', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.ac_e_ae', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.a_a_a', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.a_e_a', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.c_a_ae', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.c_e_e', '3.16777216.abkjg_veshnc_agpdbywrmu', 24], ['3.2.c_e_i', '3.16777216.abkjg_veshnc_agpdbywrmu', 24]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1361495
    {'base_label': '3.2.ac_c_a', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 2}
  • id: 1361496
    {'base_label': '3.2.ac_c_a', 'extension_degree': 1, 'extension_label': '1.2.c', 'multiplicity': 1}
  • id: 1361497
    {'base_label': '3.2.ac_c_a', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 3}
  • id: 1361498
    {'base_label': '3.2.ac_c_a', 'extension_degree': 4, 'extension_label': '1.16.i', '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'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ac', 'galois_group': '2T1', 'places': [['1', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.c', 'galois_group': '2T1', 'places': [['1', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.a', 'galois_group': '2T1', 'places': [['1', '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': '1.16.i', 'galois_group': '1T1', 'places': [['0']]}