Abelian variety isogeny class data - 2.19.al_cj

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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': 203, 'abvar_counts': [203, 130529, 47425469, 16943316845, 6124641547248, 2213387850962561, 799087621661019593, 288449415785418438005, 104127647414623118474279, 37589971930139626308751104], 'abvar_counts_str': '203 130529 47425469 16943316845 6124641547248 2213387850962561 799087621661019593 288449415785418438005 104127647414623118474279 37589971930139626308751104 ', 'angle_rank': 2, 'angles': [0.111054296712856, 0.39563383479975], 'center_dim': 4, 'curve_count': 9, 'curve_counts': [9, 363, 6915, 130011, 2473504, 47047431, 893962281, 16984034211, 322688618535, 6131066008678], 'curve_counts_str': '9 363 6915 130011 2473504 47047431 893962281 16984034211 322688618535 6131066008678 ', 'curves': ['y^2=6*x^6+17*x^5+11*x^4+x^3+10*x^2+11*x+14', 'y^2=14*x^6+15*x^5+17*x^4+x^3+16*x^2+12*x+14', 'y^2=15*x^5+10*x^4+12*x^3+3*x^2+9*x+3', 'y^2=8*x^6+3*x^5+17*x^4+9*x^3+x^2+7*x+14'], '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': ['4.0.508805.3'], 'geometric_splitting_field': '4.0.87725.1', 'geometric_splitting_polynomials': [[229, -8, 30, -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': '2.19.al_cj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.508805.3'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 2], [1, 7, 1, 4]], 'poly': [1, -11, 61, -209, 361], 'poly_str': '1 -11 61 -209 361 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 19, 'real_poly': [1, -11, 23], 'simple_distinct': ['2.19.al_cj'], 'simple_factors': ['2.19.al_cjA'], 'simple_multiplicities': [1], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.87725.1', 'splitting_polynomials': [[229, -8, 30, -1, 1]], 'twist_count': 2, 'twists': [['2.19.l_cj', '2.361.b_afz', 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': 605}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.19.al_cj', 'extension_degree': 1, 'extension_label': '2.19.al_cj', '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': '4.0.508805.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.19.al_cj', 'galois_group': '4T3', 'places': [['98/19', '22/19', '2/19', '1/19'], ['16', '1', '0', '0']]}