Abelian variety isogeny class data - 2.47.ai_ea

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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': 1930, 'abvar_counts': [1930, 5207140, 10868434090, 23800066512400, 52590966492068650, 116191031405430334180, 256667296391582788953610, 566977395072996960215040000, 1252453023449834216912849261770, 2766668726618414225995540748649700], 'abvar_counts_str': '1930 5207140 10868434090 23800066512400 52590966492068650 116191031405430334180 256667296391582788953610 566977395072996960215040000 1252453023449834216912849261770 2766668726618414225995540748649700 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.344117799528841, 0.463927535094548], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 40, 'curve_counts': [40, 2354, 104680, 4877382, 229309400, 10779173426, 506623732760, 23811287610238, 1119130479913960, 52599132514467314], 'curve_counts_str': '40 2354 104680 4877382 229309400 10779173426 506623732760 23811287610238 1119130479913960 52599132514467314 ', 'curves': ['y^2=38*x^6+8*x^4+21*x^3+27*x^2+17*x+2', 'y^2=23*x^6+30*x^5+35*x^4+12*x^3+2*x^2+19*x+11', 'y^2=27*x^6+17*x^5+24*x^4+20*x^3+25*x^2+22*x+10', 'y^2=3*x^6+16*x^5+42*x^4+15*x^3+26*x^2+9*x+3', 'y^2=31*x^6+15*x^5+26*x^4+32*x^3+36*x^2+36*x+1', 'y^2=26*x^6+30*x^5+45*x^4+26*x^3+14*x^2+40*x+28', 'y^2=27*x^6+15*x^5+39*x^4+25*x^3+4*x^2+25*x+35', 'y^2=13*x^6+11*x^5+18*x^4+30*x^3+44*x^2+5*x+18', 'y^2=23*x^5+41*x^4+30*x^3+45*x^2+9*x+39', 'y^2=2*x^6+18*x^5+3*x^4+8*x^3+29*x^2+5*x+17', 'y^2=22*x^6+11*x^5+43*x^4+6*x^3+x^2+34*x+39', 'y^2=2*x^6+32*x^5+9*x^4+31*x^3+19*x^2+28*x+45', 'y^2=23*x^6+38*x^5+44*x^4+24*x^3+23*x^2+15*x+27', 'y^2=x^6+38*x^5+42*x^4+18*x^3+31*x^2+28*x+4', 'y^2=33*x^6+21*x^5+9*x^4+8*x^3+20*x^2+37*x+31', 'y^2=11*x^6+5*x^5+9*x^4+9*x^3+3*x^2+7*x+2', 'y^2=27*x^6+9*x^5+15*x^2+45*x+8', 'y^2=41*x^6+35*x^5+43*x^4+30*x^3+22*x^2+28*x+34', 'y^2=28*x^6+12*x^5+34*x^4+18*x^3+x^2+41*x+7', 'y^2=44*x^6+46*x^5+4*x^4+45*x^3+23*x^2+41*x+44', 'y^2=12*x^6+46*x^5+30*x^4+13*x^3+20*x^2+21*x', 'y^2=36*x^6+4*x^5+10*x^4+32*x^3+37*x^2+8*x+18', 'y^2=x^6+7*x^5+18*x^4+40*x^3+17*x^2+19*x+9', 'y^2=31*x^6+29*x^5+8*x^4+30*x^3+28*x^2+36*x+19', 'y^2=24*x^6+23*x^5+27*x^4+30*x^3+33*x^2+17*x+6', 'y^2=33*x^6+7*x^5+2*x^4+28*x^3+44*x^2+22*x+2', 'y^2=41*x^6+29*x^5+6*x^4+46*x^3+28*x^2+40*x+43', 'y^2=31*x^6+40*x^5+20*x^4+37*x^3+24*x^2+6*x+31'], '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': 1, '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': ['4.0.15651072.1'], 'geometric_splitting_field': '4.0.15651072.1', 'geometric_splitting_polynomials': [[1825, -24, 80, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 28, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 28, 'label': '2.47.ai_ea', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.15651072.1'], 'p': 47, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 5, 1, 14], [1, 19, 1, 14]], 'poly': [1, -8, 104, -376, 2209], 'poly_str': '1 -8 104 -376 2209 ', 'primitive_models': [], 'principal_polarization_count': 28, 'q': 47, 'real_poly': [1, -8, 10], 'simple_distinct': ['2.47.ai_ea'], 'simple_factors': ['2.47.ai_eaA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 28, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.15651072.1', 'splitting_polynomials': [[1825, -24, 80, 0, 1]], 'twist_count': 2, 'twists': [['2.47.i_ea', '2.2209.fo_nqo', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 28, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 27172, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.47.ai_ea', 'extension_degree': 1, 'extension_label': '2.47.ai_ea', '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': '4.0.15651072.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.47.ai_ea', 'galois_group': '4T3', 'places': [['35', '1', '0', '0'], ['8', '1', '0', '0'], ['556/47', '74/47', '43/47', '2/47'], ['885/47', '74/47', '43/47', '2/47']]}