Abelian variety isogeny class data - 2.73.w_kh

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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': 7225, 'abvar_counts': [7225, 28676025, 150497443600, 807030088475625, 4297494530644005625, 22901931807121208217600, 122045158459955535928585225, 650377809067703123830468775625, 3465863722179554430919324147075600, 18469587799151938816194835966351325625], 'abvar_counts_str': '7225 28676025 150497443600 807030088475625 4297494530644005625 22901931807121208217600 122045158459955535928585225 650377809067703123830468775625 3465863722179554430919324147075600 18469587799151938816194835966351325625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.722612475433365, 0.722612475433365], 'center_dim': 2, 'curve_count': 96, 'curve_counts': [96, 5380, 386862, 28418308, 2073008256, 151333458190, 11047411591872, 806460004164868, 58871586718976766, 4297625835989992900], 'curve_counts_str': '96 5380 386862 28418308 2073008256 151333458190 11047411591872 806460004164868 58871586718976766 4297625835989992900 ', 'curves': ['y^2=32*x^6+x^5+40*x^4+32*x^3+34*x^2+2*x+69', 'y^2=x^6+10*x^5+70*x^4+23*x^3+65*x^2+63*x+46', 'y^2=62*x^6+17*x^5+19*x^4+8*x^3+x^2+14*x+28', 'y^2=41*x^6+59*x^5+32*x^4+55*x^3+71*x^2+45*x+4', 'y^2=16*x^6+32*x^5+45*x^4+18*x^3+45*x^2+32*x+16', 'y^2=55*x^6+8*x^5+72*x^4+42*x^3+33*x^2+69*x+10', 'y^2=5*x^6+5*x^3+11', 'y^2=48*x^6+20*x^5+28*x^4+70*x^3+14*x^2+5*x+6', 'y^2=3*x^6+9*x^5+11*x^4+23*x^3+34*x^2+16*x+1', 'y^2=6*x^6+52*x^5+72*x^4+45*x^3+65*x^2+33*x+32', 'y^2=47*x^6+64*x^5+60*x^4+58*x^3+38*x^2+34*x+18', 'y^2=57*x^6+22*x^5+26*x^4+2*x^3+52*x^2+15*x+18', 'y^2=18*x^6+38*x^5+63*x^4+9*x^3+59*x^2+19*x+71', 'y^2=17*x^6+70*x^5+56*x^4+23*x^3+62*x^2+48*x+43', 'y^2=25*x^6+3*x^5+23*x^4+18*x^3+55*x^2+54*x+16', 'y^2=3*x^6+9*x^5+60*x^4+9*x^3+53*x^2+x+8', 'y^2=44*x^6+57*x^5+23*x^4+72*x^3+65*x^2+8*x+14', 'y^2=61*x^6+27*x^5+39*x^4+47*x^3+44*x^2+24*x+41', 'y^2=51*x^6+63*x^5+4*x^4+41*x^3+55*x^2+1', 'y^2=36*x^6+13*x^5+38*x^4+48*x^3+71*x^2+15*x+12', 'y^2=56*x^6+13*x^5+29*x^4+17*x^3+4*x^2+8*x+23', 'y^2=13*x^6+28*x^5+11*x^4+39*x^3+15*x^2+40*x+13', 'y^2=72*x^6+63*x^5+37*x^4+25*x^3+38*x^2+56*x+46', 'y^2=72*x^6+18*x^5+20*x^4+30*x^3+9*x^2+26*x+69', 'y^2=5*x^6+5*x^3+28', 'y^2=35*x^6+72*x^5+36*x^4+6*x^3+51*x^2+56*x+40', 'y^2=62*x^6+47*x^5+4*x^4+24*x^3+19*x^2+43*x+45', 'y^2=49*x^6+29*x^5+7*x^4+5*x^3+43*x^2+44*x+64', 'y^2=55*x^6+69*x^5+68*x^4+35*x^3+27*x^2+3*x+61', 'y^2=14*x^6+28*x^5+57*x^4+41*x^3+46*x^2+17*x+44', 'y^2=55*x^6+55*x^5+11*x^4+18*x^3+42*x^2+32*x+16', 'y^2=44*x^6+22*x^5+69*x^4+46*x^3+16*x^2+60*x+31', 'y^2=5*x^6+43*x^3+15', 'y^2=55*x^6+59*x^5+28*x^4+41*x^3+55*x^2+38*x+8', 'y^2=71*x^6+57*x^5+50*x^4+30*x^3+69*x^2+2*x+54', 'y^2=22*x^6+11*x^5+43*x^4+42*x^3+40*x^2+27*x+32', 'y^2=11*x^6+21*x^5+28*x^4+46*x^3+63*x^2+47*x+58', 'y^2=51*x^6+52*x^5+x^4+70*x^3+35*x^2+44*x+56', 'y^2=45*x^6+57*x^5+42*x^4+30*x^3+45*x^2+66*x+20', 'y^2=34*x^6+26*x^5+18*x^4+42*x^3+49*x^2+30*x+60', 'y^2=62*x^6+15*x^5+21*x^4+18*x^3+60*x^2+42*x+58', 'y^2=37*x^6+28*x^4+65*x^3+53*x^2+41', 'y^2=11*x^6+49*x^5+56*x^4+12*x^3+43*x^2+46*x+68', 'y^2=18*x^6+40*x^5+51*x^4+45*x^3+68*x^2+63*x+67', 'y^2=5*x^6+22*x^3+58', 'y^2=69*x^6+33*x^5+56*x^4+7*x^3+50*x^2+11*x+58', 'y^2=14*x^6+50*x^5+41*x^4+62*x^3+41*x^2+50*x+14'], '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': 47, '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': 47, 'label': '2.73.w_kh', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [5, 17], 'number_fields': ['2.0.19.1'], 'p': 73, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 22, 267, 1606, 5329], 'poly_str': '1 22 267 1606 5329 ', 'primitive_models': [], 'q': 73, 'real_poly': [1, 22, 121], 'simple_distinct': ['1.73.l'], 'simple_factors': ['1.73.lA', '1.73.lB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.19.1', 'splitting_polynomials': [[5, -1, 1]], 'twist_count': 6, 'twists': [['2.73.aw_kh', '2.5329.by_qrz', 2], ['2.73.a_z', '2.5329.by_qrz', 2], ['2.73.al_bw', '2.389017.adey_egjzy', 3], ['2.73.a_az', '2.28398241.bdru_ngorkl', 4], ['2.73.l_bw', '2.151334226289.abrsgi_cebgcuxgo', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.73.w_kh', 'extension_degree': 1, 'extension_label': '1.73.l', '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': '1.73.l', 'galois_group': '2T1', 'places': [['50', '1'], ['22', '1']]}