Abelian variety isogeny class data - 2.29.ao_eb

Formats: - HTML - YAML - JSON - 2024-05-09T04:42:19.060928

• 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': 527, 'abvar_counts': [527, 720409, 605841308, 502004764697, 420813202681447, 353803973805251344, 297555370714607261951, 250246271230191658979753, 210457284839587227024998396, 176994572311371033360155009209], 'abvar_counts_str': '527 720409 605841308 502004764697 420813202681447 353803973805251344 297555370714607261951 250246271230191658979753 210457284839587227024998396 176994572311371033360155009209 ', 'angle_rank': 2, 'angles': [0.214587444739931, 0.326443249101745], 'center_dim': 4, 'curve_count': 16, 'curve_counts': [16, 856, 24838, 709764, 20516316, 594805150, 17249710396, 500246008260, 14507146008574, 420707224173336], 'curve_counts_str': '16 856 24838 709764 20516316 594805150 17249710396 500246008260 14507146008574 420707224173336 ', 'curves': ['y^2=12*x^6+5*x^5+27*x^4+19*x^3+28*x^2+23*x+11', 'y^2=18*x^6+10*x^5+10*x^4+20*x^3+17*x^2+21*x+2', 'y^2=5*x^6+2*x^5+26*x^4+3*x^3+6*x+20', 'y^2=25*x^6+17*x^5+14*x^4+x^3+12*x^2+x+3', 'y^2=11*x^6+8*x^5+22*x^4+2*x^3+3*x^2+2*x+27'], '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': ['4.0.245312.1'], 'geometric_splitting_field': '4.0.245312.1', 'geometric_splitting_polynomials': [[257, -18, 33, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 5, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 5, 'label': '2.29.ao_eb', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.245312.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 17, 1, 5]], 'poly': [1, -14, 105, -406, 841], 'poly_str': '1 -14 105 -406 841 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 29, 'real_poly': [1, -14, 47], 'simple_distinct': ['2.29.ao_eb'], 'simple_factors': ['2.29.ao_ebA'], 'simple_multiplicities': [1], 'size': 5, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.245312.1', 'splitting_polynomials': [[257, -18, 33, -2, 1]], 'twist_count': 2, 'twists': [['2.29.o_eb', '2.841.o_bzn', 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': 3833}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.29.ao_eb', 'extension_degree': 1, 'extension_label': '2.29.ao_eb', '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': '4.0.245312.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.ao_eb', 'galois_group': '4T3', 'places': [['146/29', '41/29', '2/29', '1/29'], ['25', '1', '0', '0']]}