Abelian variety isogeny class data - 3.17.ae_bv_aem

Formats: - HTML - YAML - JSON - 2026-09-14T06:36:29.466949

• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  all_polarized_product	boolean
  all_unpolarized_product	boolean
  angle_corank	smallint
  angle_rank	smallint
  angles	double precision[]
  center_dim	smallint
  cohen_macaulay_max	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
  endomorphism_ring_count	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[]
  group_structure_count	smallint
  has_geom_ss_factor	boolean
  has_jacobian	smallint
  has_principal_polarization	smallint
  hyp_count	integer
  is_cyclic	boolean
  is_geometrically_simple	boolean
  is_geometrically_squarefree	boolean
  is_primitive	boolean
  is_simple	boolean
  is_squarefree	boolean
  is_supersingular	boolean
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	integer
  newton_coelevation	smallint
  newton_elevation	smallint
  noncyclic_primes	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[]
  singular_primes	text[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  weak_equivalence_count	smallint
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_pic_size	integer
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric
  zfv_singular_count	smallint
  zfv_singular_primes	text[]

  
  {'abvar_count': 4484, 'abvar_counts': [4484, 31549424, 122282881508, 580368564971264, 2858421755115509764, 14055833358422422387952, 69090924324166586484058532, 339467357400029962621707468800, 1667723067316480671530798915311652, 8193440743499154311809124804335031024], 'abvar_counts_str': '4484 31549424 122282881508 580368564971264 2858421755115509764 14055833358422422387952 69090924324166586484058532 339467357400029962621707468800 1667723067316480671530798915311652 8193440743499154311809124804335031024 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.359387044027291, 0.396638491864294, 0.584214779228449], 'center_dim': 6, 'curve_count': 14, 'curve_counts': [14, 368, 5066, 83196, 1417874, 24125120, 410332678, 6976141436, 118588711670, 2015987753568], 'curve_counts_str': '14 368 5066 83196 1417874 24125120 410332678 6976141436 118588711670 2015987753568 ', 'curves': ['y^2=x^8+14*x^7+6*x^6+3*x^4+8*x^3+13*x^2+16*x+10', 'y^2=x^8+16*x^7+5*x^6+12*x^5+10*x^4+15*x^3+7*x^2+3*x+6', 'y^2=3*x^7+5*x^6+8*x^5+3*x^4+14*x^3+15*x^2+7*x+2', 'y^2=x^7+3*x^6+8*x^5+8*x^4+16*x^3+5*x^2+3*x+3', 'y^2=3*x^8+11*x^7+14*x^6+4*x^5+11*x^4+7*x^3+14*x^2+15*x+10', 'y^2=3*x^8+9*x^7+x^6+9*x^5+5*x^4+4*x^3+4*x^2+7', 'y^2=x^8+12*x^7+10*x^6+12*x^5+6*x^4+6*x^3+13*x+2', 'y^2=x^8+11*x^7+x^6+8*x^5+13*x^4+9*x^3+14*x^2+15*x+2', 'y^2=3*x^8+10*x^6+16*x^5+14*x^4+14*x^3+5*x^2+6*x+6', 'y^2=3*x^8+2*x^7+7*x^6+13*x^5+8*x^4+15*x^3+14*x^2+9*x+11', 'y^2=3*x^8+9*x^7+5*x^6+3*x^5+12*x^4+12*x^3+6*x^2+6*x+11', 'y^2=x^8+10*x^7+x^6+2*x^4+9*x^3+7*x^2+8*x+5'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.294367856.1'], 'geometric_splitting_field': '6.0.294367856.1', 'geometric_splitting_polynomials': [[256, -192, 224, -65, 35, -3, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.17.ae_bv_aem', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['6.0.294367856.1'], 'p': 17, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -4, 47, -116, 799, -1156, 4913], 'poly_str': '1 -4 47 -116 799 -1156 4913 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, -4, -4, 20], 'simple_distinct': ['3.17.ae_bv_aem'], 'simple_factors': ['3.17.ae_bv_aemA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.294367856.1', 'splitting_polynomials': [[256, -192, 224, -65, 35, -3, 1]], 'twist_count': 2, 'twists': [['3.17.e_bv_em', '3.289.da_egt_dobk', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.17.ae_bv_aem', 'extension_degree': 1, 'extension_label': '3.17.ae_bv_aem', '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': '6.0.294367856.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.17.ae_bv_aem', 'galois_group': '6T11', 'places': [['10', '1', '0', '0', '0', '0'], ['14', '7', '1', '0', '0', '0'], ['6', '1', '0', '0', '0', '0'], ['5', '8', '1', '0', '0', '0']]}