Abelian variety isogeny class data - 2.67.ay_ks

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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': 3136, 'abvar_counts': [3136, 20070400, 90870896704, 406425600000000, 1823001737727585856, 8182743087975530905600, 36732195303049634047557184, 164890927475519732121600000000, 740195497687818622026058032986176, 3322737658111325782170521755740160000], 'abvar_counts_str': '3136 20070400 90870896704 406425600000000 1823001737727585856 8182743087975530905600 36732195303049634047557184 164890927475519732121600000000 740195497687818622026058032986176 3322737658111325782170521755740160000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.23811171333255, 0.23811171333255], 'center_dim': 2, 'curve_count': 44, 'curve_counts': [44, 4470, 302132, 20168878, 1350246524, 90458649510, 6060706678532, 406067600523358, 27206533801990604, 1822837802581339350], 'curve_counts_str': '44 4470 302132 20168878 1350246524 90458649510 6060706678532 406067600523358 27206533801990604 1822837802581339350 ', 'curves': ['y^2=8*x^6+10*x^5+42*x^4+35*x^3+4*x^2+35*x+17', 'y^2=58*x^6+24*x^5+28*x^4+5*x^3+28*x^2+24*x+58', 'y^2=16*x^5+38*x^4+40*x^3+61*x^2+21*x', 'y^2=19*x^5+32*x^4+16*x^3+32*x^2+19*x', 'y^2=18*x^6+29*x^5+65*x^4+25*x^3+65*x^2+29*x+18', 'y^2=29*x^6+54*x^5+19*x^4+17*x^3+15*x^2+55*x+29', 'y^2=66*x^6+21*x^4+21*x^2+66', 'y^2=40*x^6+42*x^5+50*x^4+47*x^3+7*x^2+31*x+22', 'y^2=21*x^6+34*x^5+42*x^4+16*x^3+42*x^2+34*x+21', 'y^2=3*x^6+22*x^5+28*x^4+43*x^3+28*x^2+22*x+3', 'y^2=55*x^6+41*x^5+44*x^4+32*x^3+44*x^2+41*x+55', 'y^2=2*x^6+30*x^5+62*x^4+28*x^3+4*x^2+46*x+44', 'y^2=11*x^6+28*x^4+28*x^2+11', 'y^2=36*x^6+16*x^5+15*x^4+30*x^3+59*x^2+47*x+26', 'y^2=42*x^6+66*x^4+66*x^2+42', 'y^2=x^6+34*x^5+17*x^4+4*x^3+22*x^2+53*x+15', 'y^2=32*x^6+7*x^5+15*x^4+3*x^3+15*x^2+7*x+32', 'y^2=30*x^6+57*x^5+66*x^4+61*x^3+7*x^2+46*x+28', 'y^2=2*x^6+26*x^5+52*x^4+65*x^3+52*x^2+26*x+2', 'y^2=48*x^6+4*x^5+55*x^4+13*x^3+51*x^2+39*x+1', 'y^2=12*x^6+62*x^5+34*x^4+49*x^3+34*x^2+62*x+12', 'y^2=38*x^6+24*x^5+43*x^4+19*x^3+12*x^2+41*x+35', 'y^2=40*x^6+51*x^5+20*x^4+43*x^3+20*x^2+51*x+40', 'y^2=10*x^6+45*x^5+46*x^4+64*x^3+53*x^2+5*x+24', 'y^2=42*x^6+29*x^5+21*x^4+19*x^3+21*x^2+29*x+42', 'y^2=45*x^6+54*x^5+4*x^4+35*x^3+17*x^2+29*x+5', 'y^2=45*x^6+26*x^5+53*x^4+38*x^3+53*x^2+26*x+45', 'y^2=45*x^6+51*x^5+18*x^4+23*x^3+27*x^2+31*x+43', 'y^2=62*x^6+50*x^5+50*x^4+20*x^3+9*x^2+32*x+39', 'y^2=11*x^6+51*x^5+63*x^4+36*x^3+44*x^2+7*x+32', 'y^2=42*x^6+21*x^5+22*x^4+51*x^3+56*x^2+22*x+45', 'y^2=x^6+6*x^5+11*x^4+26*x^3+11*x^2+6*x+1', 'y^2=35*x^6+42*x^4+42*x^2+35', 'y^2=34*x^6+33*x^5+21*x^4+17*x^3+21*x^2+33*x+34', 'y^2=41*x^6+17*x^5+49*x^4+24*x^3+56*x^2+14*x+11', 'y^2=66*x^6+13*x^5+37*x^4+8*x^3+24*x^2+11*x+45', 'y^2=19*x^6+47*x^4+47*x^2+19', 'y^2=3*x^6+x^4+x^2+3', 'y^2=54*x^6+15*x^5+46*x^4+66*x^3+46*x^2+15*x+54'], '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': ['2.0.31.1'], 'geometric_splitting_field': '2.0.31.1', 'geometric_splitting_polynomials': [[8, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 39, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 39, 'label': '2.67.ay_ks', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.31.1'], 'p': 67, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -24, 278, -1608, 4489], 'poly_str': '1 -24 278 -1608 4489 ', 'primitive_models': [], 'q': 67, 'real_poly': [1, -24, 144], 'simple_distinct': ['1.67.am'], 'simple_factors': ['1.67.amA', '1.67.amB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.31.1', 'splitting_polynomials': [[8, -1, 1]], 'twist_count': 6, 'twists': [['2.67.a_ak', '2.4489.au_nle', 2], ['2.67.y_ks', '2.4489.au_nle', 2], ['2.67.m_cz', '2.300763.caq_civyc', 3], ['2.67.a_k', '2.20151121.bagy_karmru', 4], ['2.67.am_cz', '2.90458382169.pfmi_ytmtsumo', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.67.ay_ks', 'extension_degree': 1, 'extension_label': '1.67.am', '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': '2.0.31.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.67.am', 'galois_group': '2T1', 'places': [['30', '1'], ['36', '1']]}