Abelian variety isogeny class data - 2.167.abu_bhe

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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': 21024, 'abvar_counts': [21024, 766955520, 21685328694432, 604990834989465600, 16872045268985848665504, 470541528700340394111160320, 13122924181043063726305468846368, 365985213811780925441509055476531200, 10206961595749476711044153402806131287328, 284661951904280481496681221639851733339033600], 'abvar_counts_str': '21024 766955520 21685328694432 604990834989465600 16872045268985848665504 470541528700340394111160320 13122924181043063726305468846368 365985213811780925441509055476531200 10206961595749476711044153402806131287328 284661951904280481496681221639851733339033600 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.121023609244832, 0.175872025743548], 'center_dim': 4, 'curve_count': 122, 'curve_counts': [122, 27498, 4656038, 777826814, 129892889002, 21691976846346, 3622557783376150, 604967118957133246, 101029508546654492186, 16871927924945588746218], 'curve_counts_str': '122 27498 4656038 777826814 129892889002 21691976846346 3622557783376150 604967118957133246 101029508546654492186 16871927924945588746218 ', 'curves': ['y^2=91*x^6+157*x^5+46*x^4+107*x^3+46*x^2+157*x+91', 'y^2=16*x^6+94*x^5+77*x^4+164*x^3+77*x^2+94*x+16', 'y^2=77*x^6+98*x^5+18*x^4+67*x^3+18*x^2+98*x+77', 'y^2=152*x^6+56*x^5+140*x^4+136*x^3+43*x^2+126*x+12', 'y^2=158*x^6+55*x^5+128*x^4+35*x^3+126*x^2+80*x+82', 'y^2=29*x^6+73*x^5+29*x^4+127*x^3+147*x^2+135*x+114', 'y^2=106*x^6+85*x^5+136*x^4+79*x^3+151*x^2+11*x+69', 'y^2=43*x^6+65*x^5+87*x^4+32*x^3+7*x^2+93*x+10', 'y^2=66*x^6+150*x^5+74*x^4+149*x^3+74*x^2+150*x+66', 'y^2=101*x^6+78*x^5+15*x^4+116*x^3+83*x^2+68*x+73', 'y^2=35*x^6+141*x^5+23*x^4+18*x^3+35*x^2+115*x+92', 'y^2=107*x^6+119*x^5+20*x^4+124*x^3+20*x^2+119*x+107', 'y^2=41*x^6+39*x^5+42*x^4+97*x^3+3*x^2+105*x+40', 'y^2=150*x^6+131*x^5+136*x^4+11*x^3+83*x^2+155*x+87', 'y^2=143*x^6+86*x^5+120*x^4+3*x^3+120*x^2+86*x+143', 'y^2=30*x^6+98*x^5+128*x^4+74*x^3+128*x^2+98*x+30', 'y^2=129*x^6+8*x^5+62*x^4+104*x^3+62*x^2+8*x+129', 'y^2=125*x^6+72*x^5+97*x^4+50*x^3+62*x^2+162*x+67', 'y^2=129*x^6+44*x^5+108*x^4+108*x^3+108*x^2+44*x+129', 'y^2=85*x^6+143*x^5+100*x^4+14*x^3+100*x^2+143*x+85', 'y^2=143*x^6+106*x^5+132*x^4+28*x^3+121*x^2+45*x+123', 'y^2=74*x^6+30*x^5+10*x^4+26*x^3+10*x^2+30*x+74', 'y^2=55*x^6+119*x^5+110*x^4+59*x^3+45*x^2+101*x+104', 'y^2=62*x^6+57*x^5+26*x^4+39*x^3+26*x^2+57*x+62'], 'dim1_distinct': 2, 'dim1_factors': 2, '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': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.23.1', '2.0.184.1'], 'geometric_splitting_field': '4.0.33856.2', 'geometric_splitting_polynomials': [[62, -8, 9, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.167.abu_bhe', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.23.1', '2.0.184.1'], 'p': 167, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -46, 862, -7682, 27889], 'poly_str': '1 -46 862 -7682 27889 ', 'primitive_models': [], 'q': 167, 'real_poly': [1, -46, 528], 'simple_distinct': ['1.167.ay', '1.167.aw'], 'simple_factors': ['1.167.ayA', '1.167.awA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.33856.2', 'splitting_polynomials': [[62, -8, 9, -2, 1]], 'twist_count': 4, 'twists': [['2.167.ac_ahm', '2.27889.apc_fgfm', 2], ['2.167.c_ahm', '2.27889.apc_fgfm', 2], ['2.167.bu_bhe', '2.27889.apc_fgfm', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 425938
    {'base_label': '2.167.abu_bhe', 'extension_degree': 1, 'extension_label': '1.167.ay', 'multiplicity': 1}
  • id: 425939
    {'base_label': '2.167.abu_bhe', 'extension_degree': 1, 'extension_label': '1.167.aw', 'multiplicity': 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': '2.0.23.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.167.ay', 'galois_group': '2T1', 'places': [['77', '1'], ['89', '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': '2.0.184.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.167.aw', 'galois_group': '2T1', 'places': [['156', '1'], ['11', '1']]}