Abelian variety isogeny class data - 2.67.a_aep

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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_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
  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': 4371, 'abvar_counts': [4371, 19105641, 90458299584, 405858858191721, 1822837806521701611, 8182703963628694573056, 36732225162908770122267699, 164890969670331597565911206025, 740195513856780078065595398513856, 3322737668884848476235983502919995321], 'abvar_counts_str': '4371 19105641 90458299584 405858858191721 1822837806521701611 8182703963628694573056 36732225162908770122267699 164890969670331597565911206025 740195513856780078065595398513856 3322737668884848476235983502919995321 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0760265737172193, 0.923973426282781], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 68, 'curve_counts': [68, 4252, 300764, 20140756, 1350125108, 90458216998, 6060711605324, 406067704434148, 27206534396294948, 1822837808491641772], 'curve_counts_str': '68 4252 300764 20140756 1350125108 90458216998 6060711605324 406067704434148 27206534396294948 1822837808491641772 ', 'curves': ['y^2=22*x^6+37*x^5+7*x^4+25*x^3+21*x^2+65*x+58', 'y^2=60*x^6+10*x^5+30*x^4+34*x^3+25*x^2+41*x+30', 'y^2=53*x^6+20*x^5+60*x^4+x^3+50*x^2+15*x+60', 'y^2=2*x^6+2*x^5+29*x^4+5*x^3+30*x^2+7*x+65', 'y^2=28*x^6+33*x^5+8*x^4+5*x^3+33*x^2+x+15', 'y^2=56*x^6+66*x^5+16*x^4+10*x^3+66*x^2+2*x+30', 'y^2=38*x^6+10*x^5+63*x^4+40*x^3+15*x^2+15*x+4', 'y^2=17*x^6+22*x^5+14*x^4+63*x^3+12*x^2+23*x+57', 'y^2=20*x^6+28*x^5+34*x^4+21*x^3+54*x^2+12*x+5', 'y^2=40*x^6+56*x^5+x^4+42*x^3+41*x^2+24*x+10', 'y^2=5*x^6+53*x^5+34*x^3+32*x^2+53*x+2', 'y^2=10*x^6+39*x^5+x^3+64*x^2+39*x+4', 'y^2=4*x^6+9*x^5+14*x^4+61*x^3+52*x^2+64*x+11', 'y^2=17*x^6+21*x^5+54*x^4+22*x^3+52*x^2+x+51', 'y^2=27*x^6+66*x^4+12*x^3+22*x^2+1', 'y^2=61*x^6+13*x^4+27*x^3+33*x^2+49', 'y^2=33*x^6+60*x^5+35*x^4+43*x^3+54*x^2+2*x+28', 'y^2=66*x^6+53*x^5+3*x^4+19*x^3+41*x^2+4*x+56', 'y^2=13*x^6+60*x^5+33*x^4+41*x^3+2*x^2+36*x+13', 'y^2=26*x^6+53*x^5+66*x^4+15*x^3+4*x^2+5*x+26', 'y^2=28*x^6+57*x^5+30*x^4+4*x^3+10*x^2+18*x+65', 'y^2=56*x^6+47*x^5+60*x^4+8*x^3+20*x^2+36*x+63', 'y^2=21*x^6+5*x^5+50*x^4+61*x^3+51*x^2+2*x+48', 'y^2=42*x^6+10*x^5+33*x^4+55*x^3+35*x^2+4*x+29'], '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': 2, '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': ['2.0.3795.1'], 'geometric_splitting_field': '2.0.3795.1', 'geometric_splitting_polynomials': [[949, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.67.a_aep', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.14402025.6'], 'p': 67, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 3, 2, 2], [1, 17, 1, 8]], 'poly': [1, 0, -119, 0, 4489], 'poly_str': '1 0 -119 0 4489 ', 'primitive_models': [], 'principal_polarization_count': 32, 'q': 67, 'real_poly': [1, 0, -253], 'simple_distinct': ['2.67.a_aep'], 'simple_factors': ['2.67.a_aepA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-7*F^2-F+3'], 'size': 32, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.14402025.6', 'splitting_polynomials': [[4489, 0, -119, 0, 1]], 'twist_count': 2, 'twists': [['2.67.a_ep', '2.20151121.apis_fqzlpj', 4]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 16, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 225, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-7*F^2-F+3']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 65521
    {'base_label': '2.67.a_aep', 'extension_degree': 1, 'extension_label': '2.67.a_aep', 'multiplicity': 1}
  • id: 65522
    {'base_label': '2.67.a_aep', 'extension_degree': 2, 'extension_label': '1.4489.aep', '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': '4.0.14402025.6', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.67.a_aep', 'galois_group': '4T2', 'places': [['0', '119/67', '0', '4488/67'], ['0', '1', '0', '0']]}
• 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': '2.0.3795.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4489.aep', 'galois_group': '2T1', 'places': [['7', '1'], ['59', '1']]}