Abelian variety isogeny class data - 2.37.a_ace

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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': 1314, 'abvar_counts': [1314, 1726596, 2565780786, 3510991527696, 4808584499012514, 6583231041806777796, 9012061295943483597426, 12337537133263511361945600, 16890053810563042984339857954, 23122484884143430253841128600196], 'abvar_counts_str': '1314 1726596 2565780786 3510991527696 4808584499012514 6583231041806777796 9012061295943483597426 12337537133263511361945600 16890053810563042984339857954 23122484884143430253841128600196 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.113391364009214, 0.886608635990786], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 38, 'curve_counts': [38, 1258, 50654, 1873366, 69343958, 2565835162, 94931877134, 3512486633758, 129961739795078, 4808584625607178], 'curve_counts_str': '38 1258 50654 1873366 69343958 2565835162 94931877134 3512486633758 129961739795078 4808584625607178 ', 'curves': ['y^2=15*x^6+13*x^5+27*x^4+3*x^3+20*x^2+16*x+20', 'y^2=30*x^6+26*x^5+17*x^4+6*x^3+3*x^2+32*x+3', 'y^2=36*x^6+11*x^5+23*x^4+6*x^3+24*x^2+11*x+6', 'y^2=35*x^6+22*x^5+9*x^4+12*x^3+11*x^2+22*x+12', 'y^2=24*x^6+3*x^5+24*x^4+2*x^3+6*x^2+8*x+22', 'y^2=11*x^6+6*x^5+11*x^4+4*x^3+12*x^2+16*x+7', 'y^2=17*x^6+12*x^5+25*x^4+7*x^3+31*x^2+x+8', 'y^2=34*x^6+24*x^5+13*x^4+14*x^3+25*x^2+2*x+16', 'y^2=4*x^6+x^5+30*x^4+16*x^3+32*x^2+30*x+24', 'y^2=8*x^6+2*x^5+23*x^4+32*x^3+27*x^2+23*x+11', 'y^2=6*x^6+17*x^5+16*x^4+11*x^3+3*x^2+15', 'y^2=12*x^6+34*x^5+32*x^4+22*x^3+6*x^2+30', 'y^2=12*x^6+8*x^5+11*x^4+5*x^3+25*x^2+13*x+13', 'y^2=24*x^6+16*x^5+22*x^4+10*x^3+13*x^2+26*x+26', 'y^2=11*x^6+30*x^5+31*x^4+6*x^3+13*x^2+5*x+31', 'y^2=22*x^6+23*x^5+25*x^4+12*x^3+26*x^2+10*x+25', 'y^2=13*x^6+x^5+34*x^4+19*x^3+5*x^2+36*x+23', 'y^2=26*x^6+2*x^5+31*x^4+x^3+10*x^2+35*x+9', 'y^2=18*x^6+3*x^5+28*x^4+30*x^3+17*x^2+22*x+9', 'y^2=36*x^6+6*x^5+19*x^4+23*x^3+34*x^2+7*x+18', 'y^2=31*x^6+11*x^5+33*x^4+22*x^3+26*x^2+17*x+28', 'y^2=25*x^6+22*x^5+29*x^4+7*x^3+15*x^2+34*x+19', 'y^2=28*x^6+20*x^5+9*x^4+9*x^3+28*x^2+9', 'y^2=19*x^6+3*x^5+18*x^4+18*x^3+19*x^2+18'], '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': ['2.0.260.1'], 'geometric_splitting_field': '2.0.260.1', 'geometric_splitting_polynomials': [[65, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, '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': 24, 'label': '2.37.a_ace', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['4.0.1081600.7'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -56, 0, 1369], 'poly_str': '1 0 -56 0 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 0, -130], 'simple_distinct': ['2.37.a_ace'], 'simple_factors': ['2.37.a_aceA'], 'simple_multiplicities': [1], 'singular_primes': ['3,2*F^2+V+2', '3,8*F-6*V-2'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1081600.7', 'splitting_polynomials': [[1089, 0, -64, 0, 1]], 'twist_count': 4, 'twists': [['2.37.a_ce', '2.1874161.abeq_iohes', 4], ['2.37.ag_s', '2.3512479453921.psnbo_drjfftdksc', 8], ['2.37.g_s', '2.3512479453921.psnbo_drjfftdksc', 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': ['3,2*F^2+V+2', '3,8*F-6*V-2']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 24790
    {'base_label': '2.37.a_ace', 'extension_degree': 1, 'extension_label': '2.37.a_ace', 'multiplicity': 1}
  • id: 24791
    {'base_label': '2.37.a_ace', 'extension_degree': 2, 'extension_label': '1.1369.ace', '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': '4.0.1081600.7', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.a_ace', 'galois_group': '4T2', 'places': [['0', '2', '0', '1'], ['0', '21', '0', '35']]}
• 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': '2.0.260.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1369.ace', 'galois_group': '2T1', 'places': [['3', '1'], ['34', '1']]}