Abelian variety isogeny class data - 2.83.abd_ob

Formats: - HTML - YAML - JSON - 2025-10-28T18:14:02.310544

• 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': 4819, 'abvar_counts': [4819, 46700929, 327022693909, 2252409576442861, 15515849740694096464, 106889615912389102305601, 736364936010853492417512049, 5072820194517998500391546374389, 34946659134434441428008093278088991, 240747534291837328195923038682528481024], 'abvar_counts_str': '4819 46700929 327022693909 2252409576442861 15515849740694096464 106889615912389102305601 736364936010853492417512049 5072820194517998500391546374389 34946659134434441428008093278088991 240747534291837328195923038682528481024 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0639743454556791, 0.290481692689196], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 55, 'curve_counts': [55, 6779, 571933, 47460795, 3938992040, 326939174903, 27136038928151, 2252292185770339, 186940255775410009, 15516041198082912614], 'curve_counts_str': '55 6779 571933 47460795 3938992040 326939174903 27136038928151 2252292185770339 186940255775410009 15516041198082912614 ', 'curves': ['y^2=80*x^6+25*x^5+68*x^4+65*x^3+9*x^2+13*x+51', 'y^2=15*x^6+82*x^5+31*x^4+59*x^3+45*x^2+7*x+81', 'y^2=79*x^6+43*x^5+35*x^4+29*x^3+28*x^2+60*x+46', 'y^2=32*x^6+25*x^5+42*x^4+26*x^3+54*x^2+44*x+74', 'y^2=64*x^6+28*x^5+16*x^4+63*x^3+62*x^2+53*x+10', 'y^2=64*x^6+56*x^5+46*x^4+x^3+19*x^2+12*x+70', 'y^2=x^6+78*x^5+46*x^4+36*x^2+11*x+48', 'y^2=71*x^6+20*x^5+71*x^4+41*x^3+49*x^2+35*x+15', 'y^2=75*x^6+55*x^5+13*x^4+57*x^3+8*x^2+7*x+79', 'y^2=72*x^6+13*x^5+11*x^4+82*x^3+66*x^2+57*x+5', 'y^2=66*x^6+26*x^5+80*x^4+17*x^3+49*x^2+40*x+60', 'y^2=82*x^6+44*x^5+20*x^4+80*x^3+74*x^2+35*x+3', 'y^2=45*x^6+4*x^5+72*x^4+55*x^3+9*x^2+73*x+68', 'y^2=5*x^6+28*x^5+76*x^4+43*x^3+5*x^2+73*x+71', 'y^2=22*x^6+28*x^5+38*x^4+79*x^3+50*x^2+35*x+46'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.68725.1'], 'geometric_splitting_field': '4.0.68725.1', 'geometric_splitting_polynomials': [[179, -29, 30, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 15, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 15, 'label': '2.83.abd_ob', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.68725.1'], 'p': 83, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -29, 365, -2407, 6889], 'poly_str': '1 -29 365 -2407 6889 ', 'primitive_models': [], 'q': 83, 'real_poly': [1, -29, 199], 'simple_distinct': ['2.83.abd_ob'], 'simple_factors': ['2.83.abd_obA'], 'simple_multiplicities': [1], 'singular_primes': ['3,6*F^2-58*F-13*V+373'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.68725.1', 'splitting_polynomials': [[179, -29, 30, -2, 1]], 'twist_count': 2, 'twists': [['2.83.bd_ob', '2.6889.aeh_kyn', 2]], 'weak_equivalence_count': 2, 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 2749, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,6*F^2-58*F-13*V+373']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.83.abd_ob', 'extension_degree': 1, 'extension_label': '2.83.abd_ob', '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': '4.0.68725.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.83.abd_ob', 'galois_group': '4T3', 'places': [['20', '13', '75', '0'], ['58', '80', '8', '0']]}