Abelian variety isogeny class data - 2.59.ag_ev

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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': 3247, 'abvar_counts': [3247, 12880849, 42380766148, 146719993219497, 511059872468133847, 1779208448846592947344, 6193398415990294498642351, 21559177451985685939128616713, 75047494461412504488320051291236, 261240335166200877753543138268156609], 'abvar_counts_str': '3247 12880849 42380766148 146719993219497 511059872468133847 1779208448846592947344 6193398415990294498642351 21559177451985685939128616713 75047494461412504488320051291236 261240335166200877753543138268156609 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.407228766240601, 0.467083539197976], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 54, 'curve_counts': [54, 3696, 206352, 12108244, 714844734, 42180795150, 2488656388314, 146830437910180, 8662995577096416, 511116752638585536], 'curve_counts_str': '54 3696 206352 12108244 714844734 42180795150 2488656388314 146830437910180 8662995577096416 511116752638585536 ', 'curves': ['y^2=39*x^6+30*x^5+43*x^4+24*x^3+35*x^2+44*x+26', 'y^2=13*x^6+41*x^5+37*x^4+45*x^3+54*x^2+24*x+18', 'y^2=50*x^6+29*x^5+28*x^4+34*x^3+12*x^2+21*x+35', 'y^2=17*x^6+56*x^5+32*x^4+34*x^3+51*x^2+37*x+56', 'y^2=40*x^6+38*x^5+37*x^4+17*x^3+8*x^2+20*x+35', 'y^2=42*x^6+47*x^5+50*x^4+28*x^3+46*x^2+55*x+29', 'y^2=32*x^6+6*x^5+3*x^4+18*x^3+3*x^2+14*x+2', 'y^2=24*x^6+23*x^5+12*x^4+29*x^3+37*x^2+36*x+50', 'y^2=32*x^6+47*x^5+41*x^4+19*x^3+4*x^2+3*x+26', 'y^2=21*x^6+33*x^5+32*x^4+15*x^3+13*x^2+37*x+58', 'y^2=15*x^6+5*x^5+32*x^4+49*x^3+58*x^2+49*x+35', 'y^2=2*x^6+28*x^5+6*x^4+43*x^3+51*x^2+47*x+11', 'y^2=37*x^6+11*x^5+34*x^4+20*x^3+13*x^2+3*x+45', 'y^2=7*x^6+6*x^5+55*x^4+52*x^3+35*x^2+17*x+42', 'y^2=10*x^6+35*x^5+54*x^4+39*x^3+26*x^2+54*x+33', 'y^2=26*x^6+37*x^5+32*x^4+15*x^3+52*x^2+28*x+4', 'y^2=28*x^6+42*x^5+8*x^4+6*x^3+33*x^2+53*x+28', 'y^2=50*x^6+53*x^5+58*x^4+17*x^3+50*x^2+7*x+12', 'y^2=54*x^6+43*x^5+23*x^4+35*x^3+39*x^2+26*x+45', 'y^2=27*x^6+48*x^5+48*x^4+29*x^3+54*x^2+26*x+10'], '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': ['4.0.3235392.4'], 'geometric_splitting_field': '4.0.3235392.4', 'geometric_splitting_polynomials': [[3241, -106, 113, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, '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': 20, 'label': '2.59.ag_ev', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.3235392.4'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -6, 125, -354, 3481], 'poly_str': '1 -6 125 -354 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -6, 7], 'simple_distinct': ['2.59.ag_ev'], 'simple_factors': ['2.59.ag_evA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3235392.4', 'splitting_polynomials': [[3241, -106, 113, -2, 1]], 'twist_count': 2, 'twists': [['2.59.g_ev', '2.3481.ig_bbdj', 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': 50553, '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': '2.59.ag_ev', 'extension_degree': 1, 'extension_label': '2.59.ag_ev', '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': '4.0.3235392.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.ag_ev', 'galois_group': '4T3', 'places': [['120/59', '113/59', '0', '1/59'], ['57', '1', '0', '0']]}