Abelian variety isogeny class data - 2.67.aw_ju

Formats: - HTML - YAML - JSON - 2025-10-30T08:12:09.213870

• 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': 3248, 'abvar_counts': [3248, 20267520, 90969168752, 406404311040000, 1822934015107426928, 8182693132802909360640, 36732180580411350730911152, 164890934636603760119808000000, 740195509009580600820047938665008, 3322737664626437493138418325147865600], 'abvar_counts_str': '3248 20267520 90969168752 406404311040000 1822934015107426928 8182693132802909360640 36732180580411350730911152 164890934636603760119808000000 740195509009580600820047938665008 3322737664626437493138418325147865600 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.23811171333255, 0.290828956351574], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 46, 'curve_counts': [46, 4514, 302458, 20167822, 1350196366, 90458097266, 6060704249338, 406067618158558, 27206534218131886, 1822837806155498114], 'curve_counts_str': '46 4514 302458 20167822 1350196366 90458097266 6060704249338 406067618158558 27206534218131886 1822837806155498114 ', 'curves': ['y^2=14*x^6+5*x^5+12*x^4+61*x^3+12*x^2+5*x+14', 'y^2=44*x^6+63*x^5+48*x^4+59*x^3+8*x^2+52*x+61', 'y^2=55*x^6+39*x^5+50*x^4+40*x^3+61*x^2+19*x+4', 'y^2=5*x^6+48*x^5+59*x^4+62*x^3+35*x^2+31*x+52', 'y^2=41*x^6+40*x^5+60*x^4+6*x^3+64*x^2+47*x+63', 'y^2=44*x^6+24*x^4+10*x^3+24*x^2+44', 'y^2=24*x^6+24*x^5+8*x^4+49*x^3+44*x^2+56*x+40', 'y^2=59*x^6+15*x^5+15*x^4+14*x^3+22*x^2+x+15', 'y^2=3*x^6+3*x^5+57*x^4+29*x^3+57*x^2+3*x+3', 'y^2=41*x^6+17*x^5+65*x^4+66*x^3+65*x^2+17*x+41', 'y^2=27*x^6+54*x^5+54*x^4+30*x^3+54*x^2+54*x+27', 'y^2=17*x^6+54*x^5+9*x^4+47*x^3+9*x^2+54*x+17', 'y^2=2*x^6+50*x^5+61*x^4+33*x^3+61*x^2+50*x+2', 'y^2=64*x^6+32*x^5+62*x^4+13*x^3+62*x^2+32*x+64', 'y^2=3*x^6+20*x^5+15*x^4+45*x^3+36*x^2+8*x+27', 'y^2=46*x^6+55*x^5+2*x^4+45*x^3+53*x^2+15*x+34', 'y^2=61*x^6+48*x^5+35*x^4+27*x^3+35*x^2+48*x+61', 'y^2=32*x^6+47*x^5+10*x^4+46*x^3+10*x^2+47*x+32', 'y^2=34*x^6+46*x^5+50*x^4+14*x^3+46*x^2+28*x+11', 'y^2=20*x^6+23*x^5+14*x^4+41*x^3+14*x^2+23*x+20', 'y^2=5*x^6+11*x^5+63*x^4+59*x^3+5*x^2+13*x+52', 'y^2=31*x^6+16*x^5+27*x^4+33*x^3+27*x^2+16*x+31', 'y^2=43*x^6+32*x^5+10*x^4+6*x^3+10*x^2+32*x+43', 'y^2=19*x^6+26*x^5+51*x^4+38*x^3+51*x^2+26*x+19'], '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': 6, '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': ['2.0.31.1', '2.0.168.1'], 'geometric_splitting_field': '4.0.27123264.6', 'geometric_splitting_polynomials': [[1198, -100, 101, -2, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.67.aw_ju', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.31.1', '2.0.168.1'], 'p': 67, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -22, 254, -1474, 4489], 'poly_str': '1 -22 254 -1474 4489 ', 'primitive_models': [], 'q': 67, 'real_poly': [1, -22, 120], 'simple_distinct': ['1.67.am', '1.67.ak'], 'simple_factors': ['1.67.amA', '1.67.akA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,2*F-V+15'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.27123264.6', 'splitting_polynomials': [[1198, -100, 101, -2, 1]], 'twist_count': 4, 'twists': [['2.67.ac_o', '2.4489.y_mug', 2], ['2.67.c_o', '2.4489.y_mug', 2], ['2.67.w_ju', '2.4489.y_mug', 2]], 'weak_equivalence_count': 7, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 20832, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,2*F-V+15']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 69291
    {'base_label': '2.67.aw_ju', 'extension_degree': 1, 'extension_label': '1.67.am', 'multiplicity': 1}
  • id: 69292
    {'base_label': '2.67.aw_ju', 'extension_degree': 1, 'extension_label': '1.67.ak', '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': '2.0.31.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.67.am', 'galois_group': '2T1', 'places': [['30', '1'], ['36', '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': '2.0.168.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.67.ak', 'galois_group': '2T1', 'places': [['62', '1'], ['5', '1']]}