Abelian variety isogeny class data - 2.43.au_he

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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': 1156, 'abvar_counts': [1156, 3370896, 6367720804, 11712164668416, 21618113196628036, 39960577932700465296, 73885237467286894797604, 136613898879618190141440000, 252599288559205909250984800516, 467056158506693896838274475460496], 'abvar_counts_str': '1156 3370896 6367720804 11712164668416 21618113196628036 39960577932700465296 73885237467286894797604 136613898879618190141440000 252599288559205909250984800516 467056158506693896838274475460496 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.223975234504292, 0.223975234504292], 'center_dim': 2, 'curve_count': 24, 'curve_counts': [24, 1822, 80088, 3425806, 147053544, 6321512878, 271818170088, 11688189424798, 502592522372664, 21611481884313022], 'curve_counts_str': '24 1822 80088 3425806 147053544 6321512878 271818170088 11688189424798 502592522372664 21611481884313022 ', 'curves': ['y^2=3*x^6+3*x^3+19', 'y^2=20*x^6+37*x^4+37*x^2+20', 'y^2=21*x^5+30*x^4+2*x^3+30*x^2+21*x', 'y^2=42*x^6+32*x^5+8*x^4+33*x^3+8*x^2+32*x+42', 'y^2=29*x^6+x^5+6*x^4+29*x^3+38*x^2+26*x+8', 'y^2=10*x^6+8*x^5+16*x^4+21*x^3+23*x^2+34*x+6', 'y^2=39*x^6+33*x^5+25*x^4+21*x^3+35*x^2+21*x+5', 'y^2=37*x^6+20*x^5+36*x^4+36*x^2+20*x+37', 'y^2=3*x^6+4*x^5+28*x^4+28*x^2+39*x+3', 'y^2=3*x^6+8*x^3+33', 'y^2=17*x^5+7*x^4+3*x^3+13*x^2+13*x+28'], 'dim1_distinct': 1, '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'], '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 11, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 11, 'label': '2.43.au_he', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.8.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -20, 186, -860, 1849], 'poly_str': '1 -20 186 -860 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, -20, 100], 'simple_distinct': ['1.43.ak'], 'simple_factors': ['1.43.akA', '1.43.akB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.8.1', 'splitting_polynomials': [[2, 0, 1]], 'twist_count': 8, 'twists': [['2.43.a_ao', '2.1849.abc_ftu', 2], ['2.43.u_he', '2.1849.abc_ftu', 2], ['2.43.k_cf', '2.79507.wi_nvqo', 3], ['2.43.a_o', '2.3418801.kjk_bpuuve', 4], ['2.43.ak_cf', '2.6321363049.inqq_chclatoo', 6], ['2.43.am_cu', '2.11688200277601.axtmlo_jsyqjmytjq', 8], ['2.43.m_cu', '2.11688200277601.axtmlo_jsyqjmytjq', 8]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.43.au_he', 'extension_degree': 1, 'extension_label': '1.43.ak', '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': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.ak', 'galois_group': '2T1', 'places': [['27', '1'], ['16', '1']]}