Abelian variety isogeny class data - 2.83.be_pb

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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': 9801, 'abvar_counts': [9801, 46662561, 326529959184, 2253269789767161, 15515059798626412761, 106890670758419443374336, 736364999012819126694386049, 5072820248900876298544704875625, 34946659252931815706584285761524496, 240747533885956964146479803383446900321], 'abvar_counts_str': '9801 46662561 326529959184 2253269789767161 15515059798626412761 106890670758419443374336 736364999012819126694386049 5072820248900876298544704875625 34946659252931815706584285761524496 240747533885956964146479803383446900321 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.807831363317628, 0.807831363317628], 'center_dim': 2, 'curve_count': 114, 'curve_counts': [114, 6772, 571068, 47478916, 3938791494, 326942401318, 27136041249858, 2252292209915908, 186940256409288324, 15516041171924154772], 'curve_counts_str': '114 6772 571068 47478916 3938791494 326942401318 27136041249858 2252292209915908 186940256409288324 15516041171924154772 ', 'curves': ['y^2=73*x^6+60*x^5+62*x^4+8*x^3+62*x^2+60*x+73', 'y^2=x^6+76*x^5+19*x^4+19*x^2+76*x+1', 'y^2=9*x^6+26*x^5+48*x^4+60*x^3+42*x+48', 'y^2=30*x^6+32*x^5+34*x^4+23*x^3+47*x^2+60*x+21', 'y^2=2*x^6+4*x^5+13*x^4+49*x^3+78*x^2+26*x+11', 'y^2=30*x^6+26*x^5+4*x^4+15*x^3+4*x^2+26*x+30', 'y^2=63*x^6+52*x^5+59*x^4+25*x^3+59*x^2+52*x+63', 'y^2=15*x^6+81*x^5+72*x^4+45*x^3+72*x^2+81*x+15', 'y^2=31*x^6+34*x^5+16*x^4+39*x^3+16*x^2+34*x+31', 'y^2=73*x^6+29*x^5+67*x^4+35*x^3+21*x^2+16*x+44', 'y^2=25*x^6+48*x^5+57*x^4+63*x^3+46*x^2+81*x+75', 'y^2=26*x^6+43*x^5+14*x^4+46*x^3+14*x^2+43*x+26', 'y^2=69*x^6+72*x^5+39*x^4+40*x^3+45*x^2+5*x+59', 'y^2=72*x^6+75*x^5+64*x^4+52*x^3+58*x^2+58*x+75', 'y^2=70*x^6+24*x^5+43*x^4+61*x^3+26*x^2+6*x+75', 'y^2=48*x^6+79*x^5+58*x^4+60*x^3+81*x^2+27*x+60', 'y^2=32*x^6+57*x^5+61*x^4+78*x^3+61*x^2+57*x+32', 'y^2=38*x^6+82*x^5+63*x^4+8*x^3+63*x^2+82*x+38'], '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': ['2.0.107.1'], 'geometric_splitting_field': '2.0.107.1', 'geometric_splitting_polynomials': [[27, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 18, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 18, 'label': '2.83.be_pb', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.107.1'], 'p': 83, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 30, 391, 2490, 6889], 'poly_str': '1 30 391 2490 6889 ', 'primitive_models': [], 'q': 83, 'real_poly': [1, 30, 225], 'simple_distinct': ['1.83.p'], 'simple_factors': ['1.83.pA', '1.83.pB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.107.1', 'splitting_polynomials': [[27, -1, 1]], 'twist_count': 6, 'twists': [['2.83.abe_pb', '2.6889.aeo_znv', 2], ['2.83.a_ach', '2.6889.aeo_znv', 2], ['2.83.ap_fm', '2.571787.abbs_culkg', 3], ['2.83.a_ch', '2.47458321.bemc_qxsxsd', 4], ['2.83.p_fm', '2.326940373369.eljya_ibkydaqdy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.83.be_pb', 'extension_degree': 1, 'extension_label': '1.83.p', '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': '2.0.107.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.83.p', 'galois_group': '2T1', 'places': [['7', '1'], ['75', '1']]}