Abelian variety isogeny class data - 2.31.aq_er

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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': 571, 'abvar_counts': [571, 910745, 894195136, 853988282345, 819637027021291, 787650283297771520, 756946985369424489931, 727425244618054331817545, 699054125843732444679295936, 671790589032377409130623965625], 'abvar_counts_str': '571 910745 894195136 853988282345 819637027021291 787650283297771520 756946985369424489931 727425244618054331817545 699054125843732444679295936 671790589032377409130623965625 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.128815581611887, 0.326819455034739], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 16, 'curve_counts': [16, 948, 30016, 924708, 28629456, 887489598, 27512724976, 852893526468, 26439641292736, 819628360444948], 'curve_counts_str': '16 948 30016 924708 28629456 887489598 27512724976 852893526468 26439641292736 819628360444948 ', 'curves': ['y^2=3*x^6+15*x^5+30*x^4+6*x^3+28*x^2+24*x+13', 'y^2=27*x^6+6*x^5+5*x^4+8*x^3+9*x^2+27*x+6', 'y^2=21*x^6+24*x^5+11*x^4+26*x^3+27*x^2+6*x+3', 'y^2=30*x^6+3*x^5+24*x^4+19*x^3+17*x^2+22*x+26', 'y^2=21*x^6+8*x^5+22*x^4+7*x^3+26*x^2+5*x+8', 'y^2=24*x^6+28*x^5+14*x^4+25*x^3+11*x^2+23*x+23', 'y^2=26*x^6+19*x^5+7*x^4+15*x^3+4*x^2+27*x+12', 'y^2=21*x^6+17*x^5+10*x^4+13*x^3+27*x^2+30*x+12', 'y^2=13*x^6+22*x^5+16*x^4+10*x^3+8*x^2+26*x+10', 'y^2=18*x^6+10*x^5+30*x^4+17*x^3+20*x^2+6*x+22', 'y^2=30*x^6+6*x^5+x^4+8*x^3+11*x^2+7*x+22', 'y^2=12*x^6+12*x^5+3*x^4+30*x^3+2*x^2+27*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': ['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': ['4.0.43625.1'], 'geometric_splitting_field': '4.0.43625.1', 'geometric_splitting_polynomials': [[116, -6, 21, -1, 1]], 'group_structure_count': 1, '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': '2.31.aq_er', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.43625.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -16, 121, -496, 961], 'poly_str': '1 -16 121 -496 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, -16, 59], 'simple_distinct': ['2.31.aq_er'], 'simple_factors': ['2.31.aq_erA'], 'simple_multiplicities': [1], 'singular_primes': ['2,17*F+3*V-43'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.43625.1', 'splitting_polynomials': [[116, -6, 21, -1, 1]], 'twist_count': 2, 'twists': [['2.31.q_er', '2.961.ao_bap', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 1745, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,17*F+3*V-43']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.31.aq_er', 'extension_degree': 1, 'extension_label': '2.31.aq_er', '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': '4.0.43625.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.aq_er', 'galois_group': '4T3', 'places': [['22', '1', '0', '0'], ['15', '1', '0', '0'], ['27', '1', '0', '0'], ['28', '1', '0', '0']]}