Abelian variety isogeny class data - 3.5.b_p_k

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_rank	smallint
  angles	double precision[]
  center_dim	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
  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[]
  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
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	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[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric

  
  {'abvar_count': 252, 'abvar_counts': [252, 45360, 1778112, 197406720, 31533843852, 3952102855680, 473443516405692, 59268057564119040, 7460151682158205632, 932138056073446714800], 'abvar_counts_str': '252 45360 1778112 197406720 31533843852 3952102855680 473443516405692 59268057564119040 7460151682158205632 932138056073446714800 ', 'angle_rank': 1, 'angles': [0.5, 0.5, 0.571783146564353], 'center_dim': 4, 'curve_count': 7, 'curve_counts': [7, 55, 112, 495, 3227, 16180, 77567, 388415, 1955632, 9774175], 'curve_counts_str': '7 55 112 495 3227 16180 77567 388415 1955632 9774175 ', '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': 2, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.19.1'], 'geometric_splitting_field': '2.0.19.1', 'geometric_splitting_polynomials': [[5, -1, 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, 'jacobian_count': 0, 'label': '3.5.b_p_k', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 20, 'number_fields': ['2.0.20.1', '2.0.19.1'], 'p': 5, 'p_rank': 1, 'p_rank_deficit': 2, 'poly': [1, 1, 15, 10, 75, 25, 125], 'poly_str': '1 1 15 10 75 25 125 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 1], 'simple_distinct': ['1.5.a', '1.5.b'], 'simple_factors': ['1.5.aA', '1.5.aB', '1.5.bA'], 'simple_multiplicities': [2, 1], 'slopes': ['0A', '1/2A', '1/2B', '1/2C', '1/2D', '1A'], 'splitting_field': '4.0.144400.1', 'splitting_polynomials': [[5, -20, 21, -2, 1]], 'twist_count': 14, 'twists': [['3.5.ab_p_ak', '3.25.bd_nr_dmk', 2], ['3.5.b_a_af', '3.125.ao_ol_afeq', 3], ['3.5.ab_af_k', '3.625.afb_lbn_answw', 4], ['3.5.b_af_ak', '3.625.afb_lbn_answw', 4], ['3.5.ab_a_f', '3.15625.vi_httf_bthavc', 6], ['3.5.ab_f_a', '3.390625.adhb_ekmdv_aedjuojq', 8], ['3.5.b_f_a', '3.390625.adhb_ekmdv_aedjuojq', 8], ['3.5.ab_k_af', '3.244140625.abyoc_afflier_capziewzay', 12], ['3.5.b_k_f', '3.244140625.abyoc_afflier_capziewzay', 12], ['3.5.ag_z_acn', '3.95367431640625.acyxkrz_dqtjbrakgxv_adcsqsiczqsufkxgk', 20], ['3.5.ae_p_abj', '3.95367431640625.acyxkrz_dqtjbrakgxv_adcsqsiczqsufkxgk', 20], ['3.5.e_p_bj', '3.95367431640625.acyxkrz_dqtjbrakgxv_adcsqsiczqsufkxgk', 20], ['3.5.g_z_cn', '3.95367431640625.acyxkrz_dqtjbrakgxv_adcsqsiczqsufkxgk', 20]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1372424
    {'base_label': '3.5.b_p_k', 'extension_degree': 1, 'extension_label': '1.5.a', 'multiplicity': 2}
  • id: 1372425
    {'base_label': '3.5.b_p_k', 'extension_degree': 1, 'extension_label': '1.5.b', 'multiplicity': 1}
  • id: 1372426
    {'base_label': '3.5.b_p_k', 'extension_degree': 2, 'extension_label': '1.25.j', 'multiplicity': 1}
  • id: 1372427
    {'base_label': '3.5.b_p_k', 'extension_degree': 2, 'extension_label': '1.25.k', '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'], 'center': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5.a', 'galois_group': '2T1', 'places': [['0', '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': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5.b', 'galois_group': '2T1', 'places': [['0', '1'], ['4', '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': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.25.j', 'galois_group': '2T1', 'places': [['4', '1'], ['0', '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': '1.25.k', 'galois_group': '1T1', 'places': [['0']]}