Abelian variety isogeny class data - 2.67.ba_lr

Formats: - HTML - YAML - JSON - 2025-09-28T07:04:23.962027

• 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': 6561, 'abvar_counts': [6561, 19847025, 90208921104, 406380241265625, 1822640918423900481, 8182796422403377209600, 36732216863722534861946409, 164890942670469618148062515625, 740195530363579246905912821327376, 3322737652163669887566490154323700625], 'abvar_counts_str': '6561 19847025 90208921104 406380241265625 1822640918423900481 8182796422403377209600 36732216863722534861946409 164890942670469618148062515625 740195530363579246905912821327376 3322737652163669887566490154323700625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.79205812067932, 0.79205812067932], 'center_dim': 2, 'curve_count': 94, 'curve_counts': [94, 4420, 299932, 20166628, 1349979274, 90459239110, 6060710235982, 406067637943108, 27206535003016804, 1822837799318484100], 'curve_counts_str': '94 4420 299932 20166628 1349979274 90459239110 6060710235982 406067637943108 27206535003016804 1822837799318484100 ', 'curves': ['y^2=34*x^6+7*x^5+7*x^4+18*x^3+7*x^2+7*x+34', 'y^2=59*x^6+61*x^5+7*x^4+31*x^3+40*x^2+54*x+41', 'y^2=x^6+37*x^3+1', 'y^2=2*x^6+36*x^5+59*x^4+51*x^3+10*x^2+36*x+8', 'y^2=62*x^6+14*x^5+3*x^4+42*x^3+3*x^2+14*x+62', 'y^2=56*x^6+34*x^5+12*x^4+65*x^3+12*x^2+34*x+56', 'y^2=52*x^6+39*x^5+15*x^4+30*x^3+50*x^2+57*x+11', 'y^2=36*x^6+9*x^5+41*x^4+60*x^3+41*x^2+9*x+36', 'y^2=37*x^6+13*x^5+8*x^4+7*x^3+8*x^2+13*x+37', 'y^2=x^6+x^3+59', 'y^2=33*x^6+45*x^5+13*x^4+63*x^3+13*x^2+45*x+33', 'y^2=15*x^6+43*x^5+12*x^4+26*x^3+12*x^2+43*x+15', 'y^2=44*x^6+12*x^5+21*x^4+19*x^3+21*x^2+12*x+44', 'y^2=36*x^6+11*x^5+17*x^4+2*x^3+17*x^2+11*x+36', 'y^2=x^6+x^3+24', 'y^2=33*x^6+35*x^5+7*x^4+48*x^3+43*x^2+19*x+62'], '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': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 16, 'label': '2.67.ba_lr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.11.1'], 'p': 67, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 26, 303, 1742, 4489], 'poly_str': '1 26 303 1742 4489 ', 'primitive_models': [], 'q': 67, 'real_poly': [1, 26, 169], 'simple_distinct': ['1.67.n'], 'simple_factors': ['1.67.nA', '1.67.nB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 6, 'twists': [['2.67.aba_lr', '2.4489.acs_pcl', 2], ['2.67.a_abj', '2.4489.acs_pcl', 2], ['2.67.an_dy', '2.300763.abga_bsbvq', 3], ['2.67.a_bj', '2.20151121.wyk_ilszjf', 4], ['2.67.n_dy', '2.90458382169.bwtrg_btjyodcvu', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.67.ba_lr', 'extension_degree': 1, 'extension_label': '1.67.n', '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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.67.n', 'galois_group': '2T1', 'places': [['24', '1'], ['42', '1']]}