Abelian variety isogeny class data - 2.43.ae_df

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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_cyclic	boolean
  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
  noncyclic_primes	integer[]
  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': 1757, 'abvar_counts': [1757, 3705513, 6354555956, 11674266878169, 21608888651046557, 39960023352856966800, 73885423193074711148693, 136614029471411164954728489, 252599345876306905600492578644, 467056167738189258293550881998953], 'abvar_counts_str': '1757 3705513 6354555956 11674266878169 21608888651046557 39960023352856966800 73885423193074711148693 136614029471411164954728489 252599345876306905600492578644 467056167738189258293550881998953 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.384741223030054, 0.515679306135365], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 40, 'curve_counts': [40, 2000, 79924, 3414724, 146990800, 6321425150, 271818853360, 11688200597764, 502592636415532, 21611482311470000], 'curve_counts_str': '40 2000 79924 3414724 146990800 6321425150 271818853360 11688200597764 502592636415532 21611482311470000 ', 'curves': ['y^2=2*x^6+42*x^5+28*x^4+19*x^3+x^2+30*x+1', 'y^2=30*x^6+35*x^5+3*x^4+9*x^3+42*x^2+3*x+27', 'y^2=19*x^6+4*x^5+9*x^4+33*x^3+6*x^2+38*x+34', 'y^2=9*x^6+7*x^5+24*x^4+17*x^3+23*x^2+28*x+41', 'y^2=39*x^6+35*x^5+4*x^4+31*x^3+18*x^2+3*x+29', 'y^2=7*x^6+15*x^5+29*x^4+27*x^3+18*x^2+42*x+27', 'y^2=34*x^6+7*x^5+31*x^4+10*x^3+31*x^2+8*x+5', 'y^2=7*x^6+16*x^5+14*x^4+42*x^3+35*x^2+15*x+11', 'y^2=20*x^6+39*x^4+39*x^3+37*x^2+25*x+32', 'y^2=42*x^6+3*x^5+17*x^3+x+8', 'y^2=4*x^6+5*x^5+6*x^4+21*x^3+30*x^2+12*x+1', 'y^2=4*x^6+24*x^5+41*x^4+11*x^3+4*x^2+5*x+20', 'y^2=29*x^6+31*x^5+9*x^4+34*x^3+37*x^2+35*x+34', 'y^2=23*x^6+24*x^5+32*x^4+14*x^3+32*x^2+30*x+29', 'y^2=8*x^6+21*x^5+5*x^4+5*x^3+12*x^2+25*x+39', 'y^2=34*x^6+21*x^5+38*x^4+31*x^3+11*x^2+16*x+22', 'y^2=36*x^6+36*x^5+41*x^4+34*x^3+2*x^2+28*x+39', 'y^2=24*x^6+33*x^5+2*x^4+42*x^3+33*x^2+37*x+28', 'y^2=37*x^6+36*x^5+25*x^4+12*x^3+25*x^2+39*x+10', 'y^2=42*x^6+40*x^5+21*x^4+39*x^3+24*x^2+12*x+30', 'y^2=12*x^6+26*x^5+7*x^4+26*x^3+4*x^2+11*x+7', 'y^2=5*x^6+31*x^5+10*x^4+34*x^3+11*x^2+5*x+4', 'y^2=10*x^6+7*x^5+5*x^4+37*x^3+41*x^2+41*x+10', 'y^2=12*x^6+32*x^5+2*x^4+24*x^3+15*x^2+20*x+38'], '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': ['4.0.20234256.1'], 'geometric_splitting_field': '4.0.20234256.1', 'geometric_splitting_polynomials': [[1757, -14, 77, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.43.ae_df', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.20234256.1'], 'p': 43, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -4, 83, -172, 1849], 'poly_str': '1 -4 83 -172 1849 ', 'primitive_models': [], 'q': 43, 'real_poly': [1, -4, -3], 'simple_distinct': ['2.43.ae_df'], 'simple_factors': ['2.43.ae_dfA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.20234256.1', 'splitting_polynomials': [[1757, -14, 77, 0, 1]], 'twist_count': 2, 'twists': [['2.43.e_df', '2.1849.fu_nqh', 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': 25809, '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': '2.43.ae_df', 'extension_degree': 1, 'extension_label': '2.43.ae_df', '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': '4.0.20234256.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.43.ae_df', 'galois_group': '4T3', 'places': [['1757/43', '78/43', '1848/43', '1/43'], ['1', '1', '0', '0']]}