Abelian variety isogeny class data - 2.113.abj_uk

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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': 9310, 'abvar_counts': [9310, 160969900, 2083267120480, 26589651961600000, 339464667533711745550, 4334531080902907276537600, 55347530368934151536407770670, 706732552458568825561930521600000, 9024267960151216182412493894174393440, 115230877640250356714979121954014471947500], 'abvar_counts_str': '9310 160969900 2083267120480 26589651961600000 339464667533711745550 4334531080902907276537600 55347530368934151536407770670 706732552458568825561930521600000 9024267960151216182412493894174393440 115230877640250356714979121954014471947500 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.148111132014271, 0.228810695365054], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 79, 'curve_counts': [79, 12605, 1443808, 163079313, 18424782119, 2081955585890, 235260568883783, 26584441920742753, 3004041936314164384, 339456738971650064525], 'curve_counts_str': '79 12605 1443808 163079313 18424782119 2081955585890 235260568883783 26584441920742753 3004041936314164384 339456738971650064525 ', 'curves': ['y^2=10*x^6+29*x^5+66*x^4+32*x^3+6*x^2+81*x+3', 'y^2=74*x^6+100*x^5+21*x^4+65*x^3+58*x^2+58*x+82', 'y^2=55*x^6+63*x^5+45*x^4+14*x^3+12*x^2+106*x+47', 'y^2=87*x^6+48*x^5+87*x^4+16*x^3+80*x^2+19*x+89', 'y^2=44*x^6+19*x^5+66*x^4+33*x^3+112*x^2+37*x+55', 'y^2=39*x^6+15*x^5+39*x^4+89*x^3+55*x^2+49*x+73', 'y^2=48*x^6+68*x^5+34*x^4+5*x^3+6*x^2+73*x+20', 'y^2=111*x^6+24*x^5+94*x^4+70*x^3+35*x^2+55*x+40', 'y^2=62*x^6+6*x^5+103*x^4+50*x^3+42*x^2+55*x+34', 'y^2=15*x^6+15*x^5+59*x^4+17*x^3+66*x^2+104*x+48', 'y^2=52*x^6+53*x^5+82*x^4+49*x^3+48*x^2+31*x+58', 'y^2=37*x^6+95*x^5+35*x^4+19*x^3+103*x^2+10*x+18', 'y^2=26*x^6+72*x^5+86*x^4+93*x^3+112*x^2+16*x+41', 'y^2=5*x^6+45*x^5+26*x^4+30*x^3+23*x+27', 'y^2=23*x^6+103*x^5+17*x^4+5*x^3+17*x^2+111*x+6', 'y^2=75*x^6+30*x^5+29*x^4+53*x^3+9*x^2+12*x+69', 'y^2=39*x^6+107*x^5+112*x^4+26*x^3+93*x^2+2*x+111', 'y^2=29*x^6+52*x^5+85*x^4+12*x^3+63*x+93'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.91.1', '2.0.4.1'], 'geometric_splitting_field': '4.0.132496.3', 'geometric_splitting_polynomials': [[529, 0, -45, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 18, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 18, 'label': '2.113.abj_uk', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.91.1', '2.0.4.1'], 'p': 113, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -35, 530, -3955, 12769], 'poly_str': '1 -35 530 -3955 12769 ', 'primitive_models': [], 'q': 113, 'real_poly': [1, -35, 304], 'simple_distinct': ['1.113.at', '1.113.aq'], 'simple_factors': ['1.113.atA', '1.113.aqA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,-F^2+5*F-8*V+24', '7,2*F-4*V+93'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.132496.3', 'splitting_polynomials': [[529, 0, -45, 0, 1]], 'twist_count': 8, 'twists': [['2.113.ad_ada', '2.12769.agj_brua', 2], ['2.113.d_ada', '2.12769.agj_brua', 2], ['2.113.bj_uk', '2.12769.agj_brua', 2], ['2.113.abh_sy', '2.163047361.bvgx_bqpwtsa', 4], ['2.113.af_abo', '2.163047361.bvgx_bqpwtsa', 4], ['2.113.f_abo', '2.163047361.bvgx_bqpwtsa', 4], ['2.113.bh_sy', '2.163047361.bvgx_bqpwtsa', 4]], 'weak_equivalence_count': 4, 'zfv_index': 63, 'zfv_index_factorization': [[3, 2], [7, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 17836, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,-F^2+5*F-8*V+24', '7,2*F-4*V+93']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 197526
    {'base_label': '2.113.abj_uk', 'extension_degree': 1, 'extension_label': '1.113.at', 'multiplicity': 1}
  • id: 197527
    {'base_label': '2.113.abj_uk', 'extension_degree': 1, 'extension_label': '1.113.aq', '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': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.113.at', 'galois_group': '2T1', 'places': [['103', '1'], ['9', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.113.aq', 'galois_group': '2T1', 'places': [['15', '1'], ['98', '1']]}