Abelian variety isogeny class data - 2.173.abt_bgg

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_rank	smallint
  angles	double precision[]
  center_dim	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
  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[]
  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
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	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[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric

  
  {'abvar_count': 22938, 'abvar_counts': [22938, 885360924, 26801759572056, 802360164759947136, 24013778529438943026018, 718709000431308768206228736, 21510248278619325568734388129362, 643780248519041816573257694970637824, 19267699135292190124750962834299702512344, 576662967575038684592778661076500570190273724], 'abvar_counts_str': '22938 885360924 26801759572056 802360164759947136 24013778529438943026018 718709000431308768206228736 21510248278619325568734388129362 643780248519041816573257694970637824 19267699135292190124750962834299702512344 576662967575038684592778661076500570190273724 ', 'angle_rank': 2, 'angles': [0.015448684322428, 0.247870790542871], 'center_dim': 4, 'curve_count': 129, 'curve_counts': [129, 29581, 5176368, 895746145, 154963702869, 26808743828122, 4637914106334393, 802359175029023329, 138808137837378759264, 24013807852316095005061], 'curve_counts_str': '129 29581 5176368 895746145 154963702869 26808743828122 4637914106334393 802359175029023329 138808137837378759264 24013807852316095005061 ', 'curves': ['y^2=22*x^6+170*x^5+134*x^4+97*x^3+41*x^2+127*x+87', 'y^2=100*x^6+154*x^5+5*x^4+116*x^3+126*x^2+92*x+131', 'y^2=12*x^6+44*x^5+171*x^4+43*x^3+167*x+151', 'y^2=32*x^6+92*x^5+85*x^4+38*x^3+32*x^2+109*x+59', 'y^2=135*x^6+151*x^5+42*x^4+27*x^3+87*x^2+53*x+74', 'y^2=130*x^6+70*x^5+169*x^4+131*x^3+72*x^2+123*x+131', 'y^2=42*x^6+132*x^5+126*x^4+24*x^3+83*x^2+103*x+109', 'y^2=115*x^6+5*x^5+71*x^4+56*x^3+115*x^2+66*x+17', 'y^2=78*x^6+87*x^5+115*x^4+24*x^3+62*x^2+31*x+2', 'y^2=126*x^6+62*x^5+33*x^4+155*x^3+7*x^2+159*x+5'], '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, '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': ['4.0.1806444.1'], 'geometric_splitting_field': '4.0.1806444.1', 'geometric_splitting_polynomials': [[139, 0, 28, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 10, 'label': '2.173.abt_bgg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.1806444.1'], 'p': 173, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -45, 838, -7785, 29929], 'poly_str': '1 -45 838 -7785 29929 ', 'primitive_models': [], 'q': 173, 'real_poly': [1, -45, 492], 'simple_distinct': ['2.173.abt_bgg'], 'simple_factors': ['2.173.abt_bggA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1806444.1', 'splitting_polynomials': [[139, 0, 28, 0, 1]], 'twist_count': 2, 'twists': [['2.173.bt_bgg', '2.29929.anl_dmxo', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.173.abt_bgg', 'extension_degree': 1, 'extension_label': '2.173.abt_bgg', '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': '4.0.1806444.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.173.abt_bgg', 'galois_group': '4T3', 'places': [['116', '1', '0', '0'], ['150', '1', '0', '0'], ['23', '1', '0', '0'], ['57', '1', '0', '0']]}