Abelian variety isogeny class data - 2.17.ai_bi

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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': 180, 'abvar_counts': [180, 84240, 23636340, 6900940800, 2014849494900, 582835555345680, 168380213909806260, 48660468604600320000, 14063132835209808916020, 4064241540180178760317200], 'abvar_counts_str': '180 84240 23636340 6900940800 2014849494900 582835555345680 168380213909806260 48660468604600320000 14063132835209808916020 4064241540180178760317200 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0779791303773693, 0.5], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 10, 'curve_counts': [10, 294, 4810, 82622, 1419050, 24146406, 410344490, 6975653758, 118588284490, 2015998927014], 'curve_counts_str': '10 294 4810 82622 1419050 24146406 410344490 6975653758 118588284490 2015998927014 ', 'curves': ['y^2=6*x^6+3*x^5+7*x^4+8*x^3+3*x+7', 'y^2=13*x^6+15*x^5+13*x^4+14*x^3+9*x^2+8*x+5', 'y^2=16*x^6+3*x^5+10*x^4+12*x^3+3*x^2+12*x+9', 'y^2=4*x^6+15*x^5+16*x^4+7*x^3+16*x^2+15*x+4', 'y^2=7*x^6+8*x^5+16*x^4+x^3+15*x^2+12*x+7', 'y^2=x^6+11*x^5+2*x^4+6*x^3+13*x^2+16*x+5', 'y^2=14*x^6+6*x^5+16*x^4+16*x^3+10*x^2+11*x+10', 'y^2=10*x^6+12*x^5+7*x^4+14*x^3+14*x^2+6', 'y^2=15*x^6+2*x^5+7*x^3+2*x^2+8*x+7', 'y^2=11*x^6+14*x^5+9*x^4+6*x^3+9*x+16', 'y^2=10*x^6+x^5+x^4+11*x^3+10*x^2+5*x+2', 'y^2=3*x^6+2*x^5+14*x^4+x^3+8*x^2+6*x+14', 'y^2=12*x^6+8*x^5+10*x^4+3*x^3+6*x^2+9*x+3', 'y^2=3*x^6+9*x^5+x^4+x^2+9*x+3', 'y^2=7*x^6+7*x^5+x^4+11*x^3+3*x^2+6*x+11', 'y^2=8*x^6+11*x^5+16*x^4+11*x^3+6*x^2+11*x+10'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 7, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 16, 'label': '2.17.ai_bi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 4, 'newton_coelevation': 1, 'newton_elevation': 1, 'number_fields': ['2.0.4.1', '2.0.68.1'], 'p': 17, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -8, 34, -136, 289], 'poly_str': '1 -8 34 -136 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, -8], 'simple_distinct': ['1.17.ai', '1.17.a'], 'simple_factors': ['1.17.aiA', '1.17.aA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-F+7'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.4624.1', 'splitting_polynomials': [[16, 0, 9, 0, 1]], 'twist_count': 4, 'twists': [['2.17.i_bi', '2.289.e_ara', 2], ['2.17.ac_bi', '2.83521.abiq_ucla', 4], ['2.17.c_bi', '2.83521.abiq_ucla', 4]], 'weak_equivalence_count': 7, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 272, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F+7']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 11392
    {'base_label': '2.17.ai_bi', 'extension_degree': 1, 'extension_label': '1.17.ai', 'multiplicity': 1}
  • id: 11393
    {'base_label': '2.17.ai_bi', 'extension_degree': 1, 'extension_label': '1.17.a', 'multiplicity': 1}
  • id: 11394
    {'base_label': '2.17.ai_bi', 'extension_degree': 2, 'extension_label': '1.289.abe', 'multiplicity': 1}
  • id: 11395
    {'base_label': '2.17.ai_bi', 'extension_degree': 2, 'extension_label': '1.289.bi', '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'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.ai', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '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'], 'center': '2.0.68.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.a', 'galois_group': '2T1', 'places': [['0', '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'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.abe', 'galois_group': '2T1', 'places': [['13', '1'], ['4', '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': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.289.bi', 'galois_group': '1T1', 'places': [['0']]}