Abelian variety isogeny class data - 2.53.c_ed

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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': 3025, 'abvar_counts': [3025, 8497225, 22117638400, 62174407755625, 174898997696025625, 491270996807614566400, 1379943905160008774589025, 3876267374749527989827055625, 10888440201465771827685387270400, 30585627516968969237960363942205625], 'abvar_counts_str': '3025 8497225 22117638400 62174407755625 174898997696025625 491270996807614566400 1379943905160008774589025 3876267374749527989827055625 10888440201465771827685387270400 30585627516968969237960363942205625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.521878836124972, 0.521878836124972], 'center_dim': 2, 'curve_count': 56, 'curve_counts': [56, 3020, 148562, 7879668, 418223056, 22164906710, 1174709133472, 62259663501988, 3299763725048906, 174887471658463100], 'curve_counts_str': '56 3020 148562 7879668 418223056 22164906710 1174709133472 62259663501988 3299763725048906 174887471658463100 ', 'curves': ['y^2=28*x^6+50*x^5+11*x^4+16*x^3+28*x^2+17*x+12', 'y^2=18*x^6+49*x^5+3*x^4+52*x^3+48*x^2+36*x+5', 'y^2=51*x^6+18*x^5+13*x^4+42*x^3+17*x^2+22*x+19', 'y^2=45*x^6+50*x^5+20*x^4+12*x^3+18*x^2+14*x+23', 'y^2=33*x^6+2*x^5+x^4+37*x^3+32*x^2+43*x+38', 'y^2=16*x^6+27*x^5+38*x^4+33*x^3+41*x^2+21*x+43', 'y^2=28*x^6+46*x^5+6*x^4+37*x^3+35*x^2+12*x+30', 'y^2=11*x^6+21*x^5+45*x^4+46*x^3+35*x^2+12*x+9', 'y^2=8*x^6+50*x^5+49*x^4+25*x^3+36*x^2+22*x+51', 'y^2=19*x^6+5*x^5+4*x^4+34*x^3+36*x^2+3*x+14', 'y^2=25*x^6+15*x^4+20*x^3+38*x^2+43*x+6', 'y^2=48*x^6+44*x^5+10*x^4+27*x^2+22*x+41', 'y^2=9*x^6+50*x^5+12*x^4+4*x^3+9*x^2+18*x+27', 'y^2=43*x^6+14*x^5+33*x^4+37*x^3+27*x^2+12*x+4', 'y^2=27*x^6+17*x^5+3*x^4+45*x^3+45*x^2+9*x+18', 'y^2=48*x^6+30*x^5+47*x^4+11*x^3+47*x^2+30*x+48', 'y^2=7*x^6+44*x^5+45*x^4+38*x^3+35*x^2+24*x+11', 'y^2=21*x^6+14*x^5+10*x^4+50*x^3+42*x^2+34*x+38', 'y^2=16*x^6+32*x^5+27*x^4+24*x^3+30*x^2+42*x+27', 'y^2=51*x^6+9*x^5+47*x^4+36*x^3+21*x^2+33*x+11', 'y^2=42*x^6+6*x^5+44*x^4+23*x^3+2*x^2+19*x+25', 'y^2=22*x^6+18*x^5+9*x^4+x^3+x^2+12*x+35', 'y^2=20*x^6+35*x^5+33*x^4+33*x^3+2*x^2+3*x+18', 'y^2=38*x^6+51*x^5+12*x^4+31*x^3+41*x^2+51*x+15', 'y^2=2*x^6+40*x^5+33*x^4+33*x^3+12*x^2+37*x+3', 'y^2=19*x^6+42*x^5+42*x^4+11*x^3+32*x^2+30*x+22', 'y^2=14*x^6+10*x^5+48*x^4+37*x^3+2*x^2+44*x+22', 'y^2=42*x^6+23*x^5+39*x^4+42*x^3+48*x^2+30*x+25', 'y^2=3*x^6+39*x^5+10*x^4+40*x^3+30*x^2+39*x+3', 'y^2=11*x^6+30*x^5+43*x^4+33*x^3+12*x^2+6*x+40'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.211.1'], 'geometric_splitting_field': '2.0.211.1', 'geometric_splitting_polynomials': [[53, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 30, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 30, 'label': '2.53.c_ed', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [5, 11], 'number_fields': ['2.0.211.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 2, 107, 106, 2809], 'poly_str': '1 2 107 106 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, 2, 1], 'simple_distinct': ['1.53.b'], 'simple_factors': ['1.53.bA', '1.53.bB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.211.1', 'splitting_polynomials': [[53, -1, 1]], 'twist_count': 6, 'twists': [['2.53.ac_ed', '2.2809.ic_yqd', 2], ['2.53.a_eb', '2.2809.ic_yqd', 2], ['2.53.ab_aca', '2.148877.ame_sjkg', 3], ['2.53.a_aeb', '2.7890481.apzy_dungqd', 4], ['2.53.b_aca', '2.22164361129.bfbbw_oukbkcug', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.53.c_ed', 'extension_degree': 1, 'extension_label': '1.53.b', 'multiplicity': 2}
• 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': '2.0.211.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.b', 'galois_group': '2T1', 'places': [['0', '1'], ['52', '1']]}