Abelian variety isogeny class data - 2.19.ae_bq

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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': 324, 'abvar_counts': [324, 156816, 48525156, 16870892544, 6116807275524, 2213548555076496, 799113458753457444, 288443868954489667584, 104126711283670593877956, 37589932333736834777413776], 'abvar_counts_str': '324 156816 48525156 16870892544 6116807275524 2213548555076496 799113458753457444 288443868954489667584 104126711283670593877956 37589932333736834777413776 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.426318466620529, 0.426318466620529], 'center_dim': 2, 'curve_count': 16, 'curve_counts': [16, 430, 7072, 129454, 2470336, 47050846, 893991184, 16983707614, 322685717488, 6131059550350], 'curve_counts_str': '16 430 7072 129454 2470336 47050846 893991184 16983707614 322685717488 6131059550350 ', 'curves': ['y^2=13*x^6+18*x^4+8*x^3+13*x^2+14*x+13', 'y^2=3*x^6+10*x^5+13*x^4+14*x^3+15*x^2+15*x+3', 'y^2=x^6+8*x^5+14*x^4+14*x^2+11*x+1', 'y^2=9*x^6+16*x^5+7*x^4+8*x^3+7*x^2+16*x+9', 'y^2=x^6+6*x^3+7', 'y^2=x^5+17*x^4+12*x^3+17*x^2+x', 'y^2=14*x^6+14*x^4+14*x^2+14', 'y^2=x^6+9*x^3+7', 'y^2=9*x^6+5*x^5+18*x^4+7*x^3+x^2+7*x+18', 'y^2=7*x^6+3*x^5+3*x^4+5*x^3+7*x^2+12*x+13', 'y^2=7*x^6+x^5+7*x^4+13*x^3+7*x^2+x+7'], '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': ['2.0.8.1'], 'geometric_splitting_field': '2.0.8.1', 'geometric_splitting_polynomials': [[2, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 11, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 11, 'label': '2.19.ae_bq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.8.1'], 'p': 19, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 42, -76, 361], 'poly_str': '1 -4 42 -76 361 ', 'primitive_models': [], 'q': 19, 'real_poly': [1, -4, 4], 'simple_distinct': ['1.19.ac'], 'simple_factors': ['1.19.acA', '1.19.acB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.8.1', 'splitting_polynomials': [[2, 0, 1]], 'twist_count': 8, 'twists': [['2.19.a_bi', '2.361.cq_cug', 2], ['2.19.e_bq', '2.361.cq_cug', 2], ['2.19.c_ap', '2.6859.ie_bkxu', 3], ['2.19.a_abi', '2.130321.abhk_zofe', 4], ['2.19.ac_ap', '2.47045881.hiy_iljxxm', 6], ['2.19.am_cu', '2.16983563041.ifwm_ewwqrfbq', 8], ['2.19.m_cu', '2.16983563041.ifwm_ewwqrfbq', 8]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.19.ae_bq', 'extension_degree': 1, 'extension_label': '1.19.ac', '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': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.19.ac', 'galois_group': '2T1', 'places': [['6', '1'], ['13', '1']]}