Abelian variety isogeny class data - 2.59.az_kk

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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': 2252, 'abvar_counts': [2252, 11827504, 42221658032, 146891023587776, 511140079216801252, 1779199813320505249024, 6193384441158012619714772, 21559177053454343736748640000, 75047497439333956575345764184752, 261240336505025184140198628028867504], 'abvar_counts_str': '2252 11827504 42221658032 146891023587776 511140079216801252 1779199813320505249024 6193384441158012619714772 21559177053454343736748640000 75047497439333956575345764184752 261240336505025184140198628028867504 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.103225557456077, 0.262203249885323], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 35, 'curve_counts': [35, 3397, 205580, 12122361, 714956925, 42180590422, 2488650772895, 146830435195953, 8662995920848340, 511116755257995477], 'curve_counts_str': '35 3397 205580 12122361 714956925 42180590422 2488650772895 146830435195953 8662995920848340 511116755257995477 ', 'curves': ['y^2=38*x^6+24*x^5+22*x^4+25*x^3+45*x^2+26*x+53', 'y^2=42*x^6+35*x^5+15*x^4+22*x^3+36*x^2+29*x+37', 'y^2=10*x^6+28*x^5+41*x^4+51*x^3+45*x^2+14*x+24', 'y^2=6*x^6+16*x^5+17*x^4+5*x^3+5*x^2+17*x+43', 'y^2=30*x^6+2*x^5+52*x^4+11*x^3+51*x^2+57*x+4', 'y^2=14*x^6+42*x^5+5*x^4+23*x^3+46*x^2+53*x+33', 'y^2=27*x^5+14*x^4+31*x^3+30*x^2+34*x+52', 'y^2=44*x^6+49*x^5+46*x^4+8*x^3+41*x^2+21*x+6', 'y^2=22*x^6+2*x^5+54*x^4+41*x^3+38*x^2+55*x+42', 'y^2=47*x^6+28*x^5+55*x^4+8*x^3+4*x^2+35*x+50', 'y^2=24*x^6+56*x^5+20*x^4+31*x^3+7*x^2+20*x+33', 'y^2=44*x^6+34*x^5+47*x^4+43*x^3+45*x^2+15*x+38'], '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': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.219929.1'], 'geometric_splitting_field': '4.0.219929.1', 'geometric_splitting_polynomials': [[53, -22, 23, -2, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.59.az_kk', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.219929.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 13, 1, 3], [1, 17, 1, 3]], 'poly': [1, -25, 270, -1475, 3481], 'poly_str': '1 -25 270 -1475 3481 ', 'primitive_models': [], 'principal_polarization_count': 12, 'q': 59, 'real_poly': [1, -25, 152], 'simple_distinct': ['2.59.az_kk'], 'simple_factors': ['2.59.az_kkA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-2*F^2+F+1'], 'size': 12, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.219929.1', 'splitting_polynomials': [[53, -22, 23, -2, 1]], 'twist_count': 2, 'twists': [['2.59.z_kk', '2.3481.adh_jbc', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 9, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3044, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-2*F^2+F+1']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.59.az_kk', 'extension_degree': 1, 'extension_label': '2.59.az_kk', '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': '4.0.219929.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.az_kk', 'galois_group': '4T3', 'places': [['30', '1', '0', '0'], ['10', '1', '0', '0'], ['28', '1', '0', '0'], ['48', '1', '0', '0']]}