Abelian variety isogeny class data - 2.49.ax_ir

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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': 1477, 'abvar_counts': [1477, 5578629, 13838475301, 33238280483205, 79790213515005952, 191578291100868522501, 459985079447809912612357, 1104427274187618598029610245, 2651730820716027483375496370341, 6366805796193014813228463108194304], 'abvar_counts_str': '1477 5578629 13838475301 33238280483205 79790213515005952 191578291100868522501 459985079447809912612357 1104427274187618598029610245 2651730820716027483375496370341 6366805796193014813228463108194304 ', 'angle_rank': 2, 'angles': [0.0550320885808865, 0.271501929914124], 'center_dim': 4, 'curve_count': 27, 'curve_counts': [27, 2323, 117627, 5765731, 282467982, 13841074771, 678220924443, 33232918531651, 1628413582469883, 79792266739810078], 'curve_counts_str': '27 2323 117627 5765731 282467982 13841074771 678220924443 33232918531651 1628413582469883 79792266739810078 ', 'curves': ['y^2=(3*a+3)*x^6+(3*a+4)*x^5+3*x^4+(6*a+4)*x^3+(2*a+1)*x^2+(3*a+3)*x+2*a+3', 'y^2=(a+6)*x^6+(a+5)*x^5+(2*a+2)*x^4+(2*a+3)*x^3+2*a*x^2+(a+4)*x+3*a+1', 'y^2=(2*a+5)*x^6+(2*a+5)*x^5+(4*a+5)*x^4+(6*a+4)*x^3+6*x^2+(4*a+5)*x+2*a+6', 'y^2=(2*a+6)*x^6+4*a*x^5+(5*a+1)*x^4+3*x^3+(3*a+5)*x^2+(4*a+5)*x+4*a+3'], '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': ['4.0.284445.2'], 'geometric_splitting_field': '4.0.284445.2', 'geometric_splitting_polynomials': [[67, 47, 27, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 4, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 4, 'label': '2.49.ax_ir', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.284445.2'], 'p': 7, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 5, 1, 2]], 'poly': [1, -23, 225, -1127, 2401], 'poly_str': '1 -23 225 -1127 2401 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 49, 'real_poly': [1, -23, 127], 'simple_distinct': ['2.49.ax_ir'], 'simple_factors': ['2.49.ax_irA'], 'simple_multiplicities': [1], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.284445.2', 'splitting_polynomials': [[67, 47, 27, -1, 1]], 'twist_count': 2, 'twists': [['2.49.x_ir', '2.2401.adb_fhx', 2]], 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 645}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.49.ax_ir', 'extension_degree': 1, 'extension_label': '2.49.ax_ir', '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': '4.0.284445.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.49.ax_ir', 'galois_group': '4T3', 'places': [['2', '1', '0', '0'], ['334/49', '171/49', '15/49', '3/49']]}