Abelian variety isogeny class data - 2.27.am_cz

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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': 471, 'abvar_counts': [471, 538353, 388857600, 281963998809, 205832425166871, 150108017765990400, 109423095967414095519, 79766828854476825745449, 58149739554433689680121600, 42391158452910553827470218353], 'abvar_counts_str': '471 538353 388857600 281963998809 205832425166871 150108017765990400 109423095967414095519 79766828854476825745449 58149739554433689680121600 42391158452910553827470218353 ', 'angle_rank': 2, 'angles': [0.124654298278219, 0.425994599648515], 'center_dim': 4, 'curve_count': 16, 'curve_counts': [16, 740, 19756, 530564, 14344816, 387455030, 10460745808, 282430902404, 7625597819572, 205891132957700], 'curve_counts_str': '16 740 19756 530564 14344816 387455030 10460745808 282430902404 7625597819572 205891132957700 ', 'curves': ['y^2=(a^2+a+2)*x^6+(a^2+1)*x^5+(a^2+2)*x^4+2*x^3+2*x^2+(a^2+2*a+2)*x+a', 'y^2=(a^2+1)*x^6+x^5+(a^2+2*a+2)*x^4+(a^2+a+2)*x^3+(2*a^2+a)*x^2+(2*a^2+a)*x+a^2+1', 'y^2=(2*a^2+a)*x^6+(a^2+2)*x^5+(a^2+2)*x^4+(a^2+2*a+2)*x^3+(2*a^2+1)*x^2+(2*a^2+2*a)*x+a^2+2*a+1', 'y^2=(a+1)*x^6+(2*a^2+a)*x^5+(2*a^2+a+2)*x^4+a^2*x^3+(a^2+a+1)*x^2+(2*a^2+2*a)*x+2*a^2+a+2', 'y^2=(2*a^2+a)*x^6+2*x^5+(a+1)*x^4+2*a*x^3+(a+2)*x^2+(2*a^2+a+2)*x+2', 'y^2=(a+2)*x^6+(a+2)*x^5+(2*a^2+2*a+1)*x^4+2*a^2*x^3+(2*a^2+1)*x^2+(a^2+2*a+1)*x+a^2+a+1', 'y^2=(a^2+2)*x^6+(2*a^2+2*a+2)*x^5+(2*a^2+a+2)*x^4+(2*a^2+2)*x^3+(a^2+2*a)*x^2+a^2*x+a^2', 'y^2=2*a^2*x^6+(a^2+a)*x^5+(2*a^2+1)*x^4+(2*a^2+2*a+1)*x^3+(a^2+a+2)*x^2+(2*a+1)*x+a^2+a+1', 'y^2=(a+2)*x^6+a^2*x^4+2*a^2*x^3+(2*a^2+2*a+2)*x^2+(a^2+2)*x+a^2+a', 'y^2=(2*a^2+2*a)*x^6+(a^2+1)*x^5+(a^2+2*a+2)*x^4+(a+2)*x^3+2*a*x^2+(2*a^2+2)*x+2*a^2+2', 'y^2=(2*a^2+2)*x^6+(a^2+a+2)*x^5+(2*a+2)*x^4+(2*a^2+a+1)*x^3+(2*a+1)*x^2+(2*a+2)*x+a+2', 'y^2=(2*a^2+2)*x^6+(a^2+a)*x^5+(a^2+a)*x^4+(2*a^2+2)*x^3+a*x^2+(a^2+a+2)*x+a^2+1', 'y^2=a*x^6+(2*a^2+a+2)*x^5+a^2*x^4+(a^2+1)*x^3+(a^2+a+1)*x^2+(2*a+1)*x+a^2+2*a+1', 'y^2=(2*a^2+1)*x^6+(a^2+2)*x^5+(a^2+2*a)*x^4+(a^2+a)*x^3+(2*a^2+a+1)*x^2+(a^2+2*a+1)*x+a+1', 'y^2=(a^2+a)*x^6+(a^2+1)*x^5+(a^2+a+1)*x^4+(2*a^2+a)*x^3+(a^2+2*a+2)*x^2+(2*a^2+a)*x+a^2+1', 'y^2=(2*a^2+1)*x^6+(a^2+1)*x^5+(2*a+2)*x^4+2*x^3+(a^2+a+1)*x^2+x+a^2+1', 'y^2=(a^2+1)*x^6+(a^2+2)*x^5+(a^2+2)*x^4+(a^2+2)*x^3+(a^2+a)*x^2+(2*a^2+2*a+1)*x+a^2+2*a', 'y^2=(2*a^2+2*a)*x^6+(a^2+2*a)*x^5+(2*a^2+2*a+1)*x^4+(2*a^2+2*a)*x^3+(a^2+2*a)*x^2+(2*a^2+2*a+2)*x+a^2+1', 'y^2=(2*a^2+1)*x^6+(2*a^2+2*a+1)*x^5+(a^2+2*a+2)*x^4+(a^2+2*a+1)*x^3+(a+2)*x^2+(2*a^2+a+2)*x+a+1', 'y^2=(a+1)*x^6+2*a*x^5+(2*a^2+a+1)*x^4+a*x^3+(a^2+a+1)*x^2+2*a*x+1', 'y^2=(a+1)*x^6+(a^2+2*a+2)*x^4+(a^2+a)*x^3+x^2+(a^2+a)*x+a+1', 'y^2=(a+1)*x^6+2*a*x^5+(a^2+a)*x^4+(a+2)*x^3+a^2*x^2+(2*a^2+2*a+2)*x+a+1', 'y^2=(2*a^2+1)*x^6+(a^2+a)*x^5+(a^2+a)*x^4+(2*a+1)*x^3+(2*a^2+a+2)*x^2+a+1', 'y^2=a*x^6+(2*a^2+a+1)*x^5+(2*a^2+2)*x^4+(a^2+2*a+2)*x^2+(a^2+2*a+1)*x+a+2', 'y^2=a*x^6+(2*a+1)*x^5+(2*a^2+2)*x^4+(a+2)*x^3+(a^2+2*a+1)*x^2+(2*a+1)*x+1', 'y^2=(2*a^2+a+2)*x^6+x^5+x^4+(2*a^2+a)*x^3+(a^2+2*a)*x^2+(2*a^2+2*a)*x+a^2+a', 'y^2=(a+2)*x^6+(2*a^2+a)*x^5+(2*a^2+a+1)*x^4+(2*a^2+2*a+2)*x^3+(a^2+2)*x^2+(2*a^2+a+2)*x+a^2+1', 'y^2=(2*a^2+a+2)*x^6+2*a^2*x^5+x^4+(2*a+1)*x^3+a*x^2+(a^2+1)*x+2*a^2', 'y^2=(2*a^2+1)*x^6+(2*a+1)*x^5+(a^2+1)*x^4+2*x^3+(a^2+2*a+1)*x^2+x+a^2+2*a+2', 'y^2=(2*a^2+a+1)*x^6+(2*a^2+2*a+1)*x^5+(a+2)*x^4+(a^2+2*a+1)*x^3+(a^2+a)*x^2+(2*a^2+1)*x+a^2+1', 'y^2=(a^2+a+2)*x^6+(2*a^2+1)*x^5+(2*a+1)*x^4+(2*a^2+2)*x^3+(2*a^2+2*a)*x^2+x+a^2+2*a+2', 'y^2=(2*a^2+2*a)*x^6+(2*a^2+a+1)*x^5+(2*a^2+a+2)*x^4+(a^2+a+1)*x^3+(a+1)*x^2+(a^2+2)*x+2*a^2+a', 'y^2=(2*a^2+2*a)*x^6+2*x^5+(a+2)*x^4+(2*a+2)*x^3+a*x^2+(2*a^2+2*a+2)*x+2', 'y^2=(2*a^2+a)*x^6+(2*a+2)*x^4+(2*a^2+2)*x^3+(2*a^2+2*a)*x^2+(a^2+2*a+2)*x+a^2+a', 'y^2=(2*a^2+2*a+2)*x^6+(2*a^2+a)*x^5+x^4+(a^2+a)*x^3+(a^2+a+2)*x+2*a^2+1', 'y^2=(2*a^2+a+2)*x^6+(a^2+a+2)*x^5+(2*a^2+2*a)*x^4+2*x^3+(2*a+2)*x^2+(a^2+2*a+2)*x+2*a^2+a', 'y^2=(2*a^2+2*a+1)*x^6+(2*a^2+1)*x^5+(2*a^2+2*a+2)*x^4+(a^2+2*a+2)*x^3+a*x^2+a*x+2*a+2', 'y^2=a*x^6+2*a*x^5+(2*a^2+1)*x^4+(a^2+2*a)*x^3+(2*a^2+2*a+1)*x^2+(2*a^2+2*a+2)*x+a^2+1', 'y^2=(2*a^2+a+2)*x^6+2*a^2*x^5+(2*a^2+a+1)*x^4+(2*a^2+a+1)*x^2+2*a^2*x+a^2+2*a+2', 'y^2=(a^2+a+2)*x^6+2*a^2*x^5+(2*a+1)*x^4+(a^2+1)*x^3+(a+1)*x^2+a^2+a', 'y^2=(2*a^2+2*a+2)*x^6+2*a^2*x^5+(2*a^2+a)*x^4+(a+2)*x^3+(2*a+1)*x^2+(2*a+1)*x+2*a^2+2*a+1', 'y^2=(a^2+1)*x^6+(a^2+a)*x^5+(a^2+a+1)*x^4+(a^2+2)*x^3+(2*a+1)*x^2+(2*a^2+2*a)*x+a+1'], '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, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.271921.1'], 'geometric_splitting_field': '4.0.271921.1', 'geometric_splitting_polynomials': [[108, -30, 31, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 42, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 42, 'label': '2.27.am_cz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.271921.1'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 21]], 'poly': [1, -12, 77, -324, 729], 'poly_str': '1 -12 77 -324 729 ', 'primitive_models': [], 'principal_polarization_count': 42, 'q': 27, 'real_poly': [1, -12, 23], 'simple_distinct': ['2.27.am_cz'], 'simple_factors': ['2.27.am_czA'], 'simple_multiplicities': [1], 'size': 42, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.271921.1', 'splitting_polynomials': [[108, -30, 31, -2, 1]], 'twist_count': 2, 'twists': [['2.27.m_cz', '2.729.k_aoz', 2]], 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 1609}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.27.am_cz', 'extension_degree': 1, 'extension_label': '2.27.am_cz', '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', '0', '0'], 'center': '4.0.271921.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.27.am_cz', 'galois_group': '4T3', 'places': [['2', '2', '8/3', '1/3'], ['0', '4/3', '8/3', '0'], ['2', '1/3', '0', '8/3'], ['1', '2', '8/3', '1/3']]}