Abelian variety isogeny class data - 2.27.ao_dr

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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': 433, 'abvar_counts': [433, 526961, 389623792, 282304073881, 205804575250433, 150088763834792192, 109420970706011081753, 79767003572825684409513, 58149801494518770720139504, 42391160853828414638317902641], 'abvar_counts_str': '433 526961 389623792 282304073881 205804575250433 150088763834792192 109420970706011081753 79767003572825684409513 58149801494518770720139504 42391160853828414638317902641 ', 'angle_rank': 2, 'angles': [0.105338029469113, 0.368520329432634], 'center_dim': 4, 'curve_count': 14, 'curve_counts': [14, 724, 19796, 531204, 14342874, 387405334, 10460542638, 282431521028, 7625605942220, 205891144618804], 'curve_counts_str': '14 724 19796 531204 14342874 387405334 10460542638 282431521028 7625605942220 205891144618804 ', 'curves': ['y^2=(a^2+a+2)*x^6+x^5+(2*a^2+2*a+2)*x^4+2*a^2*x^3+2*x^2+(a^2+2)*x+2*a^2+a', 'y^2=(2*a^2+1)*x^6+(a^2+2*a)*x^5+2*x^4+x^3+(a^2+2)*x^2+(2*a^2+2*a+2)*x+2*a^2+2*a', 'y^2=(a^2+2*a+2)*x^6+(a+1)*x^5+(2*a^2+2*a)*x^4+(2*a^2+2*a+2)*x^2+x+a^2+2*a+2', 'y^2=(a+2)*x^6+(a^2+a+1)*x^5+(2*a+2)*x^4+(a^2+a+2)*x^3+2*a*x^2+2*a^2*x+2*a', 'y^2=(2*a^2+a)*x^6+(a^2+a+1)*x^5+a*x^4+2*a*x^3+(a^2+2*a+2)*x^2+(2*a^2+2)*x+2*a^2', 'y^2=(2*a+1)*x^6+a^2*x^5+(2*a+1)*x^4+(a+1)*x^3+(a^2+2*a)*x^2+(a+2)*x+2*a^2+1', 'y^2=(2*a^2+2*a)*x^6+(2*a+2)*x^5+(2*a^2+a+1)*x^4+(a+1)*x^3+(2*a^2+2)*x^2+(2*a^2+a+1)*x+a^2+1', 'y^2=(2*a+1)*x^6+(2*a^2+2)*x^5+(2*a^2+2*a+1)*x^4+(2*a+2)*x^3+(2*a^2+2*a+1)*x^2+a*x+a+1', 'y^2=(a^2+2*a)*x^6+(a^2+2)*x^5+(a^2+a+1)*x^4+(a^2+a)*x^3+2*a^2*x^2+(2*a^2+2)*x+a+2'], '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': ['4.0.66112.2'], 'geometric_splitting_field': '4.0.66112.2', 'geometric_splitting_polynomials': [[71, -2, 21, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 9, 'label': '2.27.ao_dr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.66112.2'], 'p': 3, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 3], [1, 23, 1, 6]], 'poly': [1, -14, 95, -378, 729], 'poly_str': '1 -14 95 -378 729 ', 'primitive_models': [], 'principal_polarization_count': 9, 'q': 27, 'real_poly': [1, -14, 41], 'simple_distinct': ['2.27.ao_dr'], 'simple_factors': ['2.27.ao_drA'], 'simple_multiplicities': [1], 'size': 9, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.66112.2', 'splitting_polynomials': [[71, -2, 21, -2, 1]], 'twist_count': 2, 'twists': [['2.27.o_dr', '2.729.ag_adx', 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': 1033}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.27.ao_dr', 'extension_degree': 1, 'extension_label': '2.27.ao_dr', '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': '4.0.66112.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.27.ao_dr', 'galois_group': '4T3', 'places': [['2', '2', '0', '2'], ['0', '2', '0', '2']]}