Abelian variety isogeny class data - 2.17.ae_bm

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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': 256, 'abvar_counts': [256, 102400, 25080064, 6922240000, 2009635123456, 582670078873600, 168410733225197824, 48662075833712640000, 14062952848056620851456, 4064222589303864424960000], 'abvar_counts_str': '256 102400 25080064 6922240000 2009635123456 582670078873600 168410733225197824 48662075833712640000 14062952848056620851456 4064222589303864424960000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.422020869622631, 0.422020869622631], 'center_dim': 2, 'curve_count': 14, 'curve_counts': [14, 350, 5102, 82878, 1415374, 24139550, 410418862, 6975884158, 118586766734, 2015989526750], 'curve_counts_str': '14 350 5102 82878 1415374 24139550 410418862 6975884158 118586766734 2015989526750 ', 'curves': ['y^2=10*x^6+8*x^4+8*x^2+10', 'y^2=11*x^6+12*x^5+14*x^4+16*x^3+14*x^2+12*x+11', 'y^2=5*x^6+16*x^4+16*x^2+5', 'y^2=8*x^6+10*x^5+2*x^4+15*x^3+2*x^2+10*x+8', 'y^2=3*x^6+4*x^5+4*x^4+12*x^3+16*x^2+13*x+5', 'y^2=12*x^6+16*x^4+16*x^2+12', 'y^2=6*x^5+10*x^4+16*x^3+10*x^2+6*x', 'y^2=13*x^6+5*x^5+6*x^4+2*x^3+2*x^2+3*x+1', 'y^2=5*x^6+14*x^5+9*x^4+x^3+9*x^2+14*x+5', 'y^2=7*x^6+6*x^5+3*x^4+12*x^3+3*x^2+6*x+7'], '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': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 10, 'label': '2.17.ae_bm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.4.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 38, -68, 289], 'poly_str': '1 -4 38 -68 289 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, -4, 4], 'simple_distinct': ['1.17.ac'], 'simple_factors': ['1.17.acA', '1.17.acB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.17.a_be', '2.289.ci_cew', 2], ['2.17.e_bm', '2.289.ci_cew', 2], ['2.17.c_an', '2.4913.hg_bbpu', 3], ['2.17.aq_du', '2.83521.ayu_pkmo', 4], ['2.17.ak_by', '2.83521.ayu_pkmo', 4], ['2.17.ag_s', '2.83521.ayu_pkmo', 4], ['2.17.a_abe', '2.83521.ayu_pkmo', 4], ['2.17.g_s', '2.83521.ayu_pkmo', 4], ['2.17.k_by', '2.83521.ayu_pkmo', 4], ['2.17.q_du', '2.83521.ayu_pkmo', 4], ['2.17.ac_an', '2.24137569.cye_edukug', 6], ['2.17.a_aq', '2.6975757441.hfls_cgecleuw', 8], ['2.17.a_q', '2.6975757441.hfls_cgecleuw', 8], ['2.17.ai_bv', '2.582622237229761.hyzudw_ycphxevazog', 12], ['2.17.i_bv', '2.582622237229761.hyzudw_ycphxevazog', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.17.ae_bm', 'extension_degree': 1, 'extension_label': '1.17.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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.17.ac', 'galois_group': '2T1', 'places': [['4', '1'], ['13', '1']]}