Abelian variety isogeny class data - 2.19.a_abl

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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_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': 325, 'abvar_counts': [325, 105625, 47035300, 16815605625, 6131064233125, 2212319446090000, 799006685851974925, 288436047941535755625, 104127350298219801213700, 37589948630704644347265625], 'abvar_counts_str': '325 105625 47035300 16815605625 6131064233125 2212319446090000 799006685851974925 288436047941535755625 104127350298219801213700 37589948630704644347265625 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0365931975201637, 0.963406802479836], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 288, 6860, 129028, 2476100, 47024718, 893871740, 16983247108, 322687697780, 6131062208448], 'curve_counts_str': '20 288 6860 129028 2476100 47024718 893871740 16983247108 322687697780 6131062208448 ', 'curves': [], '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': 4, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 2, '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': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 0, 'label': '2.19.a_abl', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [5], 'number_fields': ['4.0.144.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 2]], 'poly': [1, 0, -37, 0, 361], 'poly_str': '1 0 -37 0 361 ', 'primitive_models': [], 'principal_polarization_count': 3, 'q': 19, 'real_poly': [1, 0, -75], 'simple_distinct': ['2.19.a_abl'], 'simple_factors': ['2.19.a_ablA'], 'simple_multiplicities': [1], 'singular_primes': ['5,-3*F^2+V+7', '5,3*F+7'], 'size': 5, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.144.1', 'splitting_polynomials': [[1, 0, -1, 0, 1]], 'twist_count': 24, 'twists': [['2.19.a_l', '2.6859.a_apra', 3], ['2.19.a_ba', '2.6859.a_apra', 3], ['2.19.ac_bn', '2.130321.abxu_bmqvb', 4], ['2.19.a_bl', '2.130321.abxu_bmqvb', 4], ['2.19.c_bn', '2.130321.abxu_bmqvb', 4], ['2.19.aq_dy', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.ap_dq', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.ao_dj', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.aj_bu', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.ai_bt', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.ah_be', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.ag_bf', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.ab_as', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.a_aba', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.a_al', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.b_as', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.g_bf', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.h_be', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.i_bt', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.j_bu', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.o_dj', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.p_dq', '2.2213314919066161.adahkae_bhqfruozgyag', 12], ['2.19.q_dy', '2.2213314919066161.adahkae_bhqfruozgyag', 12]], 'weak_equivalence_count': 4, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 2, 'zfv_plus_index': 5, 'zfv_plus_index_factorization': [[5, 1]], 'zfv_plus_norm': 1, 'zfv_singular_count': 4, 'zfv_singular_primes': ['5,-3*F^2+V+7', '5,3*F+7']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 11961
    {'base_label': '2.19.a_abl', 'extension_degree': 1, 'extension_label': '2.19.a_abl', 'multiplicity': 1}
  • id: 11962
    {'base_label': '2.19.a_abl', 'extension_degree': 2, 'extension_label': '1.361.abl', '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': '4.0.144.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.a_abl', 'galois_group': '4T2', 'places': [['7', '0', '1', '0'], ['11', '0', '1', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.361.abl', 'galois_group': '2T1', 'places': [['11', '1'], ['7', '1']]}