Abelian variety isogeny class data - 2.47.av_hs

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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': 1402, 'abvar_counts': [1402, 4792036, 10818544216, 23832021789216, 52603607060842702, 116191741205327474752, 256666964812801668294766, 566977472471930901175398528, 1252453102172572021725770408632, 2766668748040190178580094468867716], 'abvar_counts_str': '1402 4792036 10818544216 23832021789216 52603607060842702 116191741205327474752 256666964812801668294766 566977472471930901175398528 1252453102172572021725770408632 2766668748040190178580094468867716 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.131283800781, 0.288979548103977], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 27, 'curve_counts': [27, 2169, 104202, 4883929, 229364517, 10779239274, 506623078275, 23811290860753, 1119130550256726, 52599132921732129], 'curve_counts_str': '27 2169 104202 4883929 229364517 10779239274 506623078275 23811290860753 1119130550256726 52599132921732129 ', 'curves': ['y^2=21*x^6+30*x^5+35*x^4+36*x^3+20*x^2+16*x+12', 'y^2=12*x^6+16*x^5+13*x^4+8*x^3+41*x^2+12*x+38', 'y^2=35*x^6+46*x^5+33*x^4+27*x^3+34*x^2+4*x+5', 'y^2=18*x^5+31*x^4+32*x^3+28*x^2+17*x+14', 'y^2=9*x^6+32*x^5+33*x^4+41*x^3+33*x^2+15*x+23', 'y^2=24*x^6+14*x^5+13*x^4+39*x^3+45*x^2+22*x+6', 'y^2=30*x^6+x^5+23*x^4+27*x^3+5*x^2+13*x+10', 'y^2=16*x^6+10*x^5+5*x^4+27*x^3+37*x^2+33*x+5'], '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': 1, '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': ['4.0.1019592.3'], 'geometric_splitting_field': '4.0.479808.2', 'geometric_splitting_polynomials': [[487, -10, 53, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.47.av_hs', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.1019592.3'], 'p': 47, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 3, 1, 2], [1, 13, 1, 4]], 'poly': [1, -21, 200, -987, 2209], 'poly_str': '1 -21 200 -987 2209 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 47, 'real_poly': [1, -21, 106], 'simple_distinct': ['2.47.av_hs'], 'simple_factors': ['2.47.av_hsA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.479808.2', 'splitting_polynomials': [[487, -10, 53, -2, 1]], 'twist_count': 2, 'twists': [['2.47.v_hs', '2.2209.abp_eka', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 8, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3528, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.47.av_hs', 'extension_degree': 1, 'extension_label': '2.47.av_hs', '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', '0', '0'], 'center': '4.0.1019592.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.47.av_hs', 'galois_group': '4T3', 'places': [['22', '1', '0', '0'], ['14', '1', '0', '0'], ['1579/47', '155/47', '11/47', '6/47'], ['1626/47', '155/47', '11/47', '6/47']]}