Abelian variety isogeny class data - 2.151.abu_bfz

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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': 16641, 'abvar_counts': [16641, 509630625, 11841884969616, 270274876478105625, 6162697988644771717641, 140515310756064379393440000, 3203887776374459191754659208841, 73051840114151048263813993294955625, 1665654995097952842803819397978410163216, 37978599521300762669128205541912355081640625], 'abvar_counts_str': '16641 509630625 11841884969616 270274876478105625 6162697988644771717641 140515310756064379393440000 3203887776374459191754659208841 73051840114151048263813993294955625 1665654995097952842803819397978410163216 37978599521300762669128205541912355081640625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.114627783796238, 0.114627783796238], 'center_dim': 2, 'curve_count': 106, 'curve_counts': [106, 22348, 3439456, 519873748, 78502981006, 11853919249198, 1789940787503506, 270281040136414948, 40812436782624439456, 6162677950618152114748], 'curve_counts_str': '106 22348 3439456 519873748 78502981006 11853919249198 1789940787503506 270281040136414948 40812436782624439456 6162677950618152114748 ', 'curves': ['y^2=121*x^6+51*x^5+35*x^4+x^3+35*x^2+51*x+121', 'y^2=38*x^6+149*x^5+25*x^4+139*x^3+25*x^2+149*x+38', 'y^2=94*x^6+111*x^5+51*x^4+62*x^3+51*x^2+111*x+94', 'y^2=32*x^6+144*x^5+118*x^4+42*x^3+118*x^2+144*x+32', 'y^2=142*x^6+99*x^5+43*x^4+80*x^3+43*x^2+99*x+142', 'y^2=15*x^6+133*x^5+84*x^4+43*x^3+84*x^2+133*x+15', 'y^2=32*x^6+98*x^5+149*x^4+76*x^3+74*x^2+67*x+27', 'y^2=x^6+x^3+86'], '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.151.abu_bfz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.3.1'], 'p': 151, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -46, 831, -6946, 22801], 'poly_str': '1 -46 831 -6946 22801 ', 'primitive_models': [], 'q': 151, 'real_poly': [1, -46, 529], 'simple_distinct': ['1.151.ax'], 'simple_factors': ['1.151.axA', '1.151.axB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.151.a_ait', '2.22801.arm_fnrv', 2], ['2.151.bu_bfz', '2.22801.arm_fnrv', 2], ['2.151.at_ic', '2.3442951.afem_vtqfu', 3], ['2.151.ae_aff', '2.3442951.afem_vtqfu', 3], ['2.151.i_mg', '2.3442951.afem_vtqfu', 3], ['2.151.x_oo', '2.3442951.afem_vtqfu', 3], ['2.151.bm_zn', '2.3442951.afem_vtqfu', 3], ['2.151.a_it', '2.519885601.arny_dmmfhod', 4], ['2.151.abq_bcl', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.abm_zn', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.abb_pe', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.ax_oo', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.ap_is', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.ai_mg', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.a_ach', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.a_la', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.e_aff', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.p_is', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.t_ic', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.bb_pe', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.bq_bcl', '2.11853911588401.qtwoa_hbumgkijjy', 6], ['2.151.a_ala', '2.140515219945627518837736801.dioaouretw_mhwqfaddqdfcepxklsg', 12], ['2.151.a_ch', '2.140515219945627518837736801.dioaouretw_mhwqfaddqdfcepxklsg', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.151.abu_bfz', 'extension_degree': 1, 'extension_label': '1.151.ax', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.151.ax', 'galois_group': '2T1', 'places': [['118', '1'], ['32', '1']]}