Abelian variety isogeny class data - 2.43.as_gg

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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': 1220, 'abvar_counts': [1220, 3420880, 6368767220, 11702419974400, 21613226197800500, 39959630784922749520, 73885410836429622092420, 136614084626603791880294400, 252599352113729074811305942820, 467056167777397921243392440722000], 'abvar_counts_str': '1220 3420880 6368767220 11702419974400 21613226197800500 39959630784922749520 73885410836429622092420 136614084626603791880294400 252599352113729074811305942820 467056167777397921243392440722000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.172484797802574, 0.327515202197426], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 26, 'curve_counts': [26, 1850, 80102, 3422958, 147020306, 6321363050, 271818807902, 11688205316638, 502592648826026, 21611482313284250], 'curve_counts_str': '26 1850 80102 3422958 147020306 6321363050 271818807902 11688205316638 502592648826026 21611482313284250 ', 'curves': ['y^2=29*x^6+25*x^5+28*x^4+19*x^3+29*x^2+42*x+37', 'y^2=29*x^6+5*x^5+28*x^4+34*x^3+3*x^2+33*x+42', 'y^2=4*x^6+14*x^5+42*x^4+40*x^3+36*x^2+39*x+26', 'y^2=11*x^6+9*x^5+34*x^4+31*x^3+12*x^2+20*x+29', 'y^2=29*x^6+37*x^5+29*x^4+29*x^3+33*x^2+15*x+22', 'y^2=27*x^6+3*x^5+31*x^4+28*x^3+31*x^2+30*x+22', 'y^2=14*x^6+28*x^5+40*x^4+26*x^3+39*x^2+7*x+3', 'y^2=34*x^6+10*x^5+34*x^4+13*x^3+12*x^2+29*x+34', 'y^2=32*x^6+40*x^5+26*x^4+29*x^3+19*x^2+42*x+26', 'y^2=39*x^6+22*x^5+25*x^4+26*x^3+30*x^2+24*x+7', 'y^2=12*x^6+9*x^5+4*x^4+36*x^3+42*x^2+39*x+20', 'y^2=24*x^6+39*x^5+30*x^4+19*x^2+5*x+3', 'y^2=11*x^6+37*x^5+38*x^4+9*x^3+23*x^2+33*x+29', 'y^2=19*x^6+17*x^5+14*x^4+15*x^3+32*x^2+39*x+30', 'y^2=11*x^6+5*x^5+40*x^4+21*x^3+9*x^2+38*x+18', 'y^2=28*x^6+38*x^5+4*x^4+7*x^3+39*x^2+3', 'y^2=35*x^6+33*x^5+5*x^4+14*x^3+2*x^2+32*x+42', 'y^2=20*x^6+27*x^5+31*x^4+8*x^3+42*x^2+40*x+15', 'y^2=17*x^6+10*x^5+40*x^4+38*x^3+21*x^2+12*x+19', 'y^2=37*x^6+19*x^5+26*x^4+14*x^3+40*x+15', 'y^2=42*x^6+3*x^5+13*x^4+13*x^2+40*x+42', 'y^2=13*x^6+12*x^5+15*x^4+6*x^3+7*x^2+15*x+19', 'y^2=12*x^6+2*x^5+13*x^4+12*x^3+7*x^2+8*x+17', 'y^2=x^6+17*x^5+5*x^4+34*x^3+41*x^2+40*x+27', 'y^2=35*x^6+37*x^5+28*x^4+10*x^3+13*x^2+8*x+30', 'y^2=37*x^6+33*x^5+16*x^4+28*x^3+7*x^2+16*x+31', 'y^2=30*x^6+35*x^5+15*x^4+13*x^3+6*x^2+29*x+19', 'y^2=41*x^6+28*x^5+13*x^4+24*x^3+5*x^2+28*x+18', 'y^2=32*x^6+22*x^5+11*x^4+14*x^3+3*x^2+15*x+32', 'y^2=41*x^6+19*x^5+22*x^4+5*x^3+x+25', 'y^2=40*x^6+25*x^5+14*x^4+28*x^3+42*x^2+7*x+39', 'y^2=8*x^6+39*x^5+26*x^4+29*x^3+23*x^2+31*x+2'], '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': 6, '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.20.1'], 'geometric_splitting_field': '2.0.20.1', 'geometric_splitting_polynomials': [[5, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 32, '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': 32, 'label': '2.43.as_gg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.400.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 5], [1, 3, 1, 20]], 'poly': [1, -18, 162, -774, 1849], 'poly_str': '1 -18 162 -774 1849 ', 'primitive_models': [], 'principal_polarization_count': 32, 'q': 43, 'real_poly': [1, -18, 76], 'simple_distinct': ['2.43.as_gg'], 'simple_factors': ['2.43.as_ggA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2-18*F-5*V+86', '19,83*F+21*V-366'], 'size': 43, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.400.1', 'splitting_polynomials': [[1, 0, 3, 0, 1]], 'twist_count': 4, 'twists': [['2.43.s_gg', '2.1849.a_dby', 2], ['2.43.s_gg', '2.3418801.gdw_yksmw', 4], ['2.43.a_acy', '2.11688200277601.lasfc_fmivpskenu', 8], ['2.43.a_cy', '2.11688200277601.lasfc_fmivpskenu', 8]], 'weak_equivalence_count': 6, 'zfv_index': 76, 'zfv_index_factorization': [[2, 2], [19, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 20, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 5776, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-F^2-18*F-5*V+86', '19,83*F+21*V-366']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 32883
    {'base_label': '2.43.as_gg', 'extension_degree': 1, 'extension_label': '2.43.as_gg', 'multiplicity': 1}
  • id: 32884
    {'base_label': '2.43.as_gg', 'extension_degree': 2, 'extension_label': '2.1849.a_dby', 'multiplicity': 1}
  • id: 32885
    {'base_label': '2.43.as_gg', 'extension_degree': 4, 'extension_label': '1.3418801.dby', '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': '4.0.400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.43.as_gg', 'galois_group': '4T2', 'places': [['23', '9', '1', '26'], ['23', '34', '1', '17']]}
• 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': '4.0.400.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.1849.a_dby', 'galois_group': '4T2', 'places': [['23', '34', '1', '17'], ['23', '9', '1', '26']]}
• 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': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3418801.dby', 'galois_group': '2T1', 'places': [['9', '1'], ['34', '1']]}