Abelian variety isogeny class data - 2.47.av_hr

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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': 1401, 'abvar_counts': [1401, 4787217, 10811952711, 23827305068109, 52601463773804976, 116191121112592125201, 256666892275799744490123, 566977505223369735093935925, 1252453125896803894121051752269, 2766668756530650282161622825783552], 'abvar_counts_str': '1401 4787217 10811952711 23827305068109 52601463773804976 116191121112592125201 256666892275799744490123 566977505223369735093935925 1252453125896803894121051752269 2766668756530650282161622825783552 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.117269065618637, 0.295691381463358], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 27, 'curve_counts': [27, 2167, 104139, 4882963, 229355172, 10779181747, 506622935097, 23811292236211, 1119130571455533, 52599133083150382], 'curve_counts_str': '27 2167 104139 4882963 229355172 10779181747 506622935097 23811292236211 1119130571455533 52599133083150382 ', 'curves': ['y^2=26*x^6+14*x^5+35*x^4+17*x^3+10*x^2+16*x+20', 'y^2=37*x^6+26*x^5+10*x^4+24*x^3+44*x^2+17*x+26', 'y^2=12*x^6+27*x^5+14*x^4+10*x^3+24*x^2+30*x+5', 'y^2=34*x^6+38*x^5+3*x^4+37*x^3+10*x^2+45*x+31', 'y^2=41*x^6+35*x^5+18*x^4+34*x^3+26*x^2+7*x+15', 'y^2=45*x^6+13*x^5+39*x^4+35*x^3+46*x^2+x+29', 'y^2=44*x^6+17*x^5+31*x^4+9*x^3+38*x^2+45*x+35', 'y^2=34*x^6+46*x^5+11*x^4+40*x^3+37*x^2+25*x+5', 'y^2=2*x^6+45*x^5+44*x^4+36*x^3+30*x^2+30*x+12', 'y^2=6*x^6+23*x^5+7*x^4+7*x^3+27*x+40', 'y^2=41*x^6+44*x^5+9*x^4+22*x^3+35*x^2+32*x+11', 'y^2=20*x^6+22*x^5+21*x^4+24*x^3+46*x^2+41*x+43', 'y^2=33*x^6+35*x^5+46*x^4+11*x^3+27*x^2+37*x+29', 'y^2=41*x^6+20*x^5+16*x^4+35*x^3+28*x^2+23*x+9'], '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': ['4.0.1296981.1'], 'geometric_splitting_field': '4.0.1296981.1', 'geometric_splitting_polynomials': [[249, -72, 34, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.47.av_hr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.1296981.1'], 'p': 47, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -21, 199, -987, 2209], 'poly_str': '1 -21 199 -987 2209 ', 'primitive_models': [], 'q': 47, 'real_poly': [1, -21, 105], 'simple_distinct': ['2.47.av_hr'], 'simple_factors': ['2.47.av_hrA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1296981.1', 'splitting_polynomials': [[249, -72, 34, -1, 1]], 'twist_count': 2, 'twists': [['2.47.v_hr', '2.2209.abr_dur', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2941, '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_hr', 'extension_degree': 1, 'extension_label': '2.47.av_hr', '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': '4.0.1296981.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.47.av_hr', 'galois_group': '4T3', 'places': [['26', '1', '0', '0'], ['10', '1', '0', '0'], ['421/47', '149/47', '11/47', '6/47'], ['515/47', '149/47', '11/47', '6/47']]}