Abelian variety isogeny class data - 2.71.x_kk

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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': 6968, 'abvar_counts': [6968, 25475008, 127541686688, 646150242812672, 3255116198266241608, 16409670977338814835712, 82721243150852792036785832, 416997609757941213215243414528, 2102085018959487027822915048612512, 10596610575755787493260223916677056448], 'abvar_counts_str': '6968 25475008 127541686688 646150242812672 3255116198266241608 16409670977338814835712 82721243150852792036785832 416997609757941213215243414528 2102085018959487027822915048612512 10596610575755787493260223916677056448 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.689225310369823, 0.797689990552892], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 95, 'curve_counts': [95, 5053, 356348, 25427289, 1804158765, 128100192094, 9095123726819, 645753510559185, 45848500736549204, 3255243550814616693], 'curve_counts_str': '95 5053 356348 25427289 1804158765 128100192094 9095123726819 645753510559185 45848500736549204 3255243550814616693 ', 'curves': ['y^2=22*x^6+64*x^5+42*x^4+54*x^3+35*x^2+36*x+65', 'y^2=4*x^6+5*x^5+38*x^4+26*x^3+34*x^2+30*x+50', 'y^2=62*x^6+58*x^5+51*x^4+62*x^3+49*x^2+30*x+4', 'y^2=18*x^6+29*x^5+7*x^4+43*x^3+40*x^2+64*x+50', 'y^2=69*x^6+21*x^5+22*x^4+64*x^3+25*x^2+8*x+58', 'y^2=60*x^6+51*x^5+19*x^4+25*x^3+33*x^2+50*x+50', 'y^2=14*x^6+16*x^5+43*x^4+37*x^3+54*x^2+32', 'y^2=40*x^6+50*x^5+45*x^4+16*x^3+27*x^2+47*x+28', 'y^2=19*x^6+3*x^5+50*x^4+40*x^3+17*x^2+60*x', 'y^2=56*x^6+44*x^5+26*x^4+3*x^3+68*x^2+23*x+1', 'y^2=18*x^6+43*x^5+57*x^4+13*x^3+35*x^2+61*x+15', 'y^2=53*x^6+70*x^5+22*x^4+2*x^3+59*x^2+2*x+13', 'y^2=30*x^6+6*x^5+12*x^4+x^3+15*x^2+13*x+24', 'y^2=45*x^6+6*x^5+14*x^4+28*x^3+16*x^2+69*x+45', 'y^2=25*x^6+70*x^5+59*x^4+6*x^3+25*x^2+62*x+22', 'y^2=54*x^6+63*x^5+16*x^4+20*x^3+13*x^2+41*x+43', 'y^2=43*x^6+23*x^5+8*x^4+29*x^3+35*x^2+16*x+25', 'y^2=10*x^6+40*x^5+36*x^4+18*x^3+16*x^2+42*x+39', 'y^2=60*x^6+20*x^5+43*x^4+40*x^3+15*x^2+34*x', 'y^2=9*x^6+35*x^5+37*x^4+39*x^3+27*x^2+12*x+59', 'y^2=6*x^6+13*x^5+39*x^4+11*x^3+34*x^2+20*x+40', 'y^2=58*x^6+65*x^5+8*x^4+32*x^3+63*x^2+3*x+14', 'y^2=22*x^6+29*x^5+63*x^4+3*x^3+32*x^2+63*x+44', 'y^2=14*x^6+48*x^5+16*x^4+52*x^3+52*x^2+37*x+5', 'y^2=21*x^6+53*x^5+41*x^4+11*x^3+51*x^2+15*x+22', 'y^2=43*x^6+33*x^5+62*x^4+42*x^3+3*x^2+13*x+33', 'y^2=31*x^6+63*x^5+63*x^4+26*x^3+16*x^2+54*x+11', 'y^2=32*x^6+23*x^5+47*x^4+31*x^3+39*x^2+69*x+27', 'y^2=52*x^6+36*x^5+52*x^4+66*x^3+59*x^2+52*x', 'y^2=45*x^6+22*x^5+5*x^4+23*x^3+50*x^2+51*x+68'], '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, 'endomorphism_ring_count': 2, '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': ['4.0.1409453.1'], 'geometric_splitting_field': '4.0.1409453.1', 'geometric_splitting_polynomials': [[1294, -11, 69, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 30, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 30, 'label': '2.71.x_kk', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.1409453.1'], 'p': 71, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 23, 270, 1633, 5041], 'poly_str': '1 23 270 1633 5041 ', 'primitive_models': [], 'q': 71, 'real_poly': [1, 23, 128], 'simple_distinct': ['2.71.x_kk'], 'simple_factors': ['2.71.x_kkA'], 'simple_multiplicities': [1], 'singular_primes': ['2,10*F+3*V+69'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1409453.1', 'splitting_polynomials': [[1294, -11, 69, -1, 1]], 'twist_count': 2, 'twists': [['2.71.ax_kk', '2.5041.l_lqm', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 19508, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,10*F+3*V+69']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.71.x_kk', 'extension_degree': 1, 'extension_label': '2.71.x_kk', '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'], 'center': '4.0.1409453.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.71.x_kk', 'galois_group': '4T3', 'places': [['43', '47', '55', '63'], ['37', '26', '6', '3']]}