Abelian variety isogeny class data - 2.43.am_es

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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': 1444, 'abvar_counts': [1444, 3610000, 6410564356, 11696400000000, 21606541641923044, 39957704713794490000, 73885253269721695551556, 136614152017984262400000000, 252599374430655370674518564644, 467056168277714579091694740250000], 'abvar_counts_str': '1444 3610000 6410564356 11696400000000 21606541641923044 39957704713794490000 73885253269721695551556 136614152017984262400000000 252599374430655370674518564644 467056168277714579091694740250000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.348746511119089, 0.348746511119089], 'center_dim': 2, 'curve_count': 32, 'curve_counts': [32, 1950, 80624, 3421198, 146974832, 6321058350, 271818228224, 11688211082398, 502592693229632, 21611482336434750], 'curve_counts_str': '32 1950 80624 3421198 146974832 6321058350 271818228224 11688211082398 502592693229632 21611482336434750 ', 'curves': ['y^2=18*x^5+x^4+18*x^3+12*x^2+42*x+24', 'y^2=3*x^6+12*x^5+33*x^4+38*x^3+33*x^2+12*x+3', 'y^2=27*x^6+29*x^5+26*x^4+7*x^3+28*x^2+26*x+32', 'y^2=5*x^6+26*x^5+24*x^4+23*x^3+16*x^2+9*x+13', 'y^2=41*x^6+27*x^5+12*x^4+22*x^3+18*x^2+7*x+4', 'y^2=34*x^6+42*x^5+38*x^4+x^3+14*x^2+8*x+2', 'y^2=37*x^6+23*x^5+2*x^4+8*x^3+18*x^2+14*x+12', 'y^2=7*x^6+3*x^5+35*x^4+29*x^3+33*x^2+5*x+17', 'y^2=41*x^6+34*x^4+34*x^2+41', 'y^2=34*x^6+32*x^5+32*x^4+11*x^3+14*x^2+11*x+22', 'y^2=29*x^6+5*x^5+x^4+8*x^3+x^2+5*x+29', 'y^2=29*x^6+18*x^5+26*x^4+42*x^3+18*x^2+30*x+7', 'y^2=41*x^6+26*x^5+27*x^4+3*x^3+27*x^2+26*x+41', 'y^2=2*x^6+8*x^5+34*x^4+22*x^3+7*x^2+42*x+42', 'y^2=20*x^6+21*x^5+21*x^4+6*x^2+41*x+3', 'y^2=37*x^6+12*x^5+32*x^4+17*x^3+5*x^2+41*x+7', 'y^2=20*x^6+23*x^4+5*x^3+23*x^2+20', 'y^2=18*x^6+6*x^5+5*x^4+22*x^3+30*x^2+30*x+29', 'y^2=21*x^6+16*x^5+39*x^4+12*x^3+39*x^2+15*x+27', 'y^2=27*x^6+30*x^5+22*x^4+28*x^3+29*x^2+42*x+8', 'y^2=22*x^6+28*x^5+6*x^4+37*x^3+6*x^2+28*x+22', 'y^2=32*x^6+15*x^5+17*x^4+16*x^3+x^2+32*x+32', 'y^2=42*x^6+42*x^5+5*x^4+30*x^3+22*x^2+6*x+35', 'y^2=38*x^5+42*x^4+3*x^3+40*x^2+10*x+24', 'y^2=30*x^6+30*x^4+30*x^2+30', 'y^2=29*x^6+18*x^5+20*x^4+11*x^3+20*x^2+18*x+29'], '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': ['2.0.136.1'], 'geometric_splitting_field': '2.0.136.1', 'geometric_splitting_polynomials': [[34, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 26, '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': 26, 'label': '2.43.am_es', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 19], 'number_fields': ['2.0.136.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -12, 122, -516, 1849], 'poly_str': '1 -12 122 -516 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, -12, 36], 'simple_distinct': ['1.43.ag'], 'simple_factors': ['1.43.agA', '1.43.agB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.136.1', 'splitting_polynomials': [[34, 0, 1]], 'twist_count': 6, 'twists': [['2.43.a_by', '2.1849.dw_jek', 2], ['2.43.m_es', '2.1849.dw_jek', 2], ['2.43.g_ah', '2.79507.bqy_batvm', 3], ['2.43.a_aby', '2.3418801.doe_scrww', 4], ['2.43.ag_ah', '2.6321363049.aritg_embpqbzy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.43.am_es', 'extension_degree': 1, 'extension_label': '1.43.ag', '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': '2.0.136.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.43.ag', 'galois_group': '2T1', 'places': [['40', '1'], ['3', '1']]}