Abelian variety isogeny class data - 2.23.ae_by

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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': 484, 'abvar_counts': [484, 327184, 151240804, 77916906496, 41369877891364, 21916825780968976, 11593627040634999844, 6132620008310580854784, 3244141730763081044595556, 1716155292382594568157047824], 'abvar_counts_str': '484 327184 151240804 77916906496 41369877891364 21916825780968976 11593627040634999844 6132620008310580854784 3244141730763081044595556 1716155292382594568157047824 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.433137181603982, 0.433137181603982], 'center_dim': 2, 'curve_count': 20, 'curve_counts': [20, 614, 12428, 278430, 6427540, 148050758, 3405057676, 78311107774, 1801147565204, 41426498203814], 'curve_counts_str': '20 614 12428 278430 6427540 148050758 3405057676 78311107774 1801147565204 41426498203814 ', 'curves': ['y^2=17*x^6+2*x^5+11*x^4+14*x^3+10*x^2+18*x+22', 'y^2=14*x^6+9*x^5+16*x^4+4*x^3+12*x^2+14*x+15', 'y^2=18*x^6+6*x^5+7*x^4+4*x^3+2*x^2+20*x+8', 'y^2=5*x^6+18*x^5+6*x^4+16*x^3+6*x^2+18*x+5', 'y^2=7*x^6+19*x^4+19*x^2+7', 'y^2=12*x^6+17*x^5+3*x^4+12*x^3+22*x^2+16*x+5', 'y^2=15*x^6+15*x^5+16*x^4+13*x^3+5*x^2+5*x+15', 'y^2=20*x^6+2*x^5+18*x^4+22*x^3+11*x^2+16*x+8'], 'dim1_distinct': 1, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['2T1'], '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.88.1'], 'geometric_splitting_field': '2.0.88.1', 'geometric_splitting_polynomials': [[22, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.23.ae_by', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.88.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 50, -92, 529], 'poly_str': '1 -4 50 -92 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, -4, 4], 'simple_distinct': ['1.23.ac'], 'simple_factors': ['1.23.acA', '1.23.acB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.88.1', 'splitting_polynomials': [[22, 0, 1]], 'twist_count': 6, 'twists': [['2.23.a_bq', '2.529.dg_eeo', 2], ['2.23.e_by', '2.529.dg_eeo', 2], ['2.23.c_at', '2.12167.ka_cizy', 3], ['2.23.a_abq', '2.279841.acci_cifgw', 4], ['2.23.ac_at', '2.148035889.vzw_bdovoag', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.23.ae_by', 'extension_degree': 1, 'extension_label': '1.23.ac', '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': '2.0.88.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.23.ac', 'galois_group': '2T1', 'places': [['22', '1'], ['1', '1']]}