Abelian variety isogeny class data - 2.83.bg_qg

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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': 10000, 'abvar_counts': [10000, 46240000, 327069610000, 2252831296000000, 15515252262540250000, 106890747299335219360000, 736364732284885060266010000, 5072820581287523460473856000000, 34946658968188357798601065260010000, 240747534056326506412743217552996000000], 'abvar_counts_str': '10000 46240000 327069610000 2252831296000000 15515252262540250000 106890747299335219360000 736364732284885060266010000 5072820581287523460473856000000 34946658968188357798601065260010000 240747534056326506412743217552996000000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.841198311972968, 0.841198311972968], 'center_dim': 2, 'curve_count': 116, 'curve_counts': [116, 6710, 572012, 47469678, 3938840356, 326942635430, 27136031420572, 2252292357492958, 186940254886109396, 15516041182904374550], 'curve_counts_str': '116 6710 572012 47469678 3938840356 326942635430 27136031420572 2252292357492958 186940254886109396 15516041182904374550 ', 'curves': ['y^2=78*x^6+63*x^5+62*x^4+6*x^3+62*x^2+63*x+78', 'y^2=43*x^6+53*x^5+38*x^4+81*x^2+62*x', 'y^2=47*x^6+22*x^5+61*x^4+77*x^3+61*x^2+22*x+47', 'y^2=67*x^6+11*x^5+17*x^4+34*x^3+46*x^2+62*x+70', 'y^2=75*x^6+40*x^5+79*x^4+11*x^3+79*x^2+40*x+75', 'y^2=67*x^6+13*x^4+13*x^2+67', 'y^2=40*x^6+34*x^5+64*x^4+64*x^2+34*x+40', 'y^2=3*x^6+45*x^5+57*x^4+13*x^3+47*x^2+46*x+40', 'y^2=2*x^6+32*x^5+29*x^4+56*x^3+48*x^2+51*x+43', 'y^2=70*x^6+55*x^5+70*x^4+66*x^3+29*x^2+8*x+51', 'y^2=19*x^6+79*x^4+79*x^2+19', 'y^2=4*x^6+51*x^5+55*x^4+32*x^3+30*x^2+81*x+33', 'y^2=3*x^6+x^4+x^2+3', 'y^2=38*x^6+11*x^5+77*x^4+33*x^3+12*x^2+44*x+28'], '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': ['2.0.19.1'], 'geometric_splitting_field': '2.0.19.1', 'geometric_splitting_polynomials': [[5, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.83.bg_qg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.19.1'], 'p': 83, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 32, 422, 2656, 6889], 'poly_str': '1 32 422 2656 6889 ', 'primitive_models': [], 'q': 83, 'real_poly': [1, 32, 256], 'simple_distinct': ['1.83.q'], 'simple_factors': ['1.83.qA', '1.83.qB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.19.1', 'splitting_polynomials': [[5, -1, 1]], 'twist_count': 6, 'twists': [['2.83.abg_qg', '2.6889.agy_bgjm', 2], ['2.83.a_adm', '2.6889.agy_bgjm', 2], ['2.83.aq_gr', '2.571787.iq_cnugc', 3], ['2.83.a_dm', '2.47458321.quu_ksgrby', 4], ['2.83.q_gr', '2.326940373369.eysgi_jgrsvhtco', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.83.bg_qg', 'extension_degree': 1, 'extension_label': '1.83.q', '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': '2.0.19.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.83.q', 'galois_group': '2T1', 'places': [['45', '1'], ['37', '1']]}