Abelian variety isogeny class data - 2.31.a_abs

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• 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': 918, 'abvar_counts': [918, 842724, 887545350, 852867026064, 819628328199078, 787736748306622500, 756943935182892103158, 727426272069103757266944, 699053619999006441936660150, 671790596386415520602800050084], 'abvar_counts_str': '918 842724 887545350 852867026064 819628328199078 787736748306622500 756943935182892103158 727426272069103757266944 699053619999006441936660150 671790596386415520602800050084 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.124420346277995, 0.875579653722005], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 32, 'curve_counts': [32, 874, 29792, 923494, 28629152, 887587018, 27512614112, 852894731134, 26439622160672, 819628369417354], 'curve_counts_str': '32 874 29792 923494 28629152 887587018 27512614112 852894731134 26439622160672 819628369417354 ', 'curves': ['y^2=14*x^6+20*x^5+26*x^3+29*x^2+25*x+19', 'y^2=11*x^6+29*x^5+16*x^3+25*x^2+13*x+26', 'y^2=13*x^6+15*x^5+2*x^4+25*x^3+29*x^2+29*x+2', 'y^2=8*x^6+14*x^5+6*x^4+13*x^3+25*x^2+25*x+6', 'y^2=28*x^6+16*x^5+4*x^3+20*x^2+17*x+2', 'y^2=22*x^6+17*x^5+12*x^3+29*x^2+20*x+6', 'y^2=20*x^6+29*x^5+29*x^4+29*x^3+26*x^2+22*x+8', 'y^2=29*x^6+25*x^5+25*x^4+25*x^3+16*x^2+4*x+24', 'y^2=25*x^6+8*x^5+16*x^4+9*x^3+28*x^2+14*x+16', 'y^2=13*x^6+24*x^5+17*x^4+27*x^3+22*x^2+11*x+17', 'y^2=15*x^6+17*x^5+4*x^4+2*x^3+23*x^2+27*x+19', 'y^2=14*x^6+20*x^5+12*x^4+6*x^3+7*x^2+19*x+26', 'y^2=24*x^6+28*x^5+28*x^4+12*x^3+26*x^2+19*x+29', 'y^2=10*x^6+22*x^5+22*x^4+5*x^3+16*x^2+26*x+25', 'y^2=6*x^6+14*x^5+8*x^4+18*x^3+24*x^2+x+24', 'y^2=18*x^6+11*x^5+24*x^4+23*x^3+10*x^2+3*x+10', 'y^2=23*x^6+16*x^5+14*x^4+2*x^3+26*x^2+4*x+30', 'y^2=7*x^6+17*x^5+11*x^4+6*x^3+16*x^2+12*x+28'], '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, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, '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': 2, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.212.1'], 'geometric_splitting_field': '2.0.212.1', 'geometric_splitting_polynomials': [[53, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 18, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 18, 'label': '2.31.a_abs', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['4.0.719104.2'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -44, 0, 961], 'poly_str': '1 0 -44 0 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, 0, -106], 'simple_distinct': ['2.31.a_abs'], 'simple_factors': ['2.31.a_absA'], 'simple_multiplicities': [1], 'singular_primes': ['3,6*F-2*V-2', '3,26*F-21*V-5'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.719104.2', 'splitting_polynomials': [[729, 0, -52, 0, 1]], 'twist_count': 4, 'twists': [['2.31.a_bs', '2.923521.abc_ebcpq', 4], ['2.31.ag_s', '2.852891037441.icebc_ynbefxoxq', 8], ['2.31.g_s', '2.852891037441.icebc_ynbefxoxq', 8]], 'weak_equivalence_count': 4, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 324, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,6*F-2*V-2', '3,26*F-21*V-5']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 20656
    {'base_label': '2.31.a_abs', 'extension_degree': 1, 'extension_label': '2.31.a_abs', 'multiplicity': 1}
  • id: 20657
    {'base_label': '2.31.a_abs', 'extension_degree': 2, 'extension_label': '1.961.abs', 'multiplicity': 2}
• 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': '4.0.719104.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.a_abs', 'galois_group': '4T2', 'places': [['0', '2', '0', '1'], ['0', '15', '0', '29']]}
• 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': '2.0.212.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.961.abs', 'galois_group': '2T1', 'places': [['3', '1'], ['28', '1']]}