Abelian variety isogeny class data - 2.59.y_kc

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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': 5184, 'abvar_counts': [5184, 11943936, 42018440256, 146982840827904, 511042308084661824, 1779218841206528557056, 6193386335875993074782784, 21559172920210686295098261504, 75047499705476961887850177155136, 261240334194874507373326383167717376], 'abvar_counts_str': '5184 11943936 42018440256 146982840827904 511042308084661824 1779218841206528557056 6193386335875993074782784 21559172920210686295098261504 75047499705476961887850177155136 261240334194874507373326383167717376 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.785358177425341, 0.785358177425341], 'center_dim': 2, 'curve_count': 84, 'curve_counts': [84, 3430, 204588, 12129934, 714820164, 42181041526, 2488651534236, 146830407046174, 8662996182437172, 511116750738185350], 'curve_counts_str': '84 3430 204588 12129934 714820164 42181041526 2488651534236 146830407046174 8662996182437172 511116750738185350 ', 'curves': ['y^2=22*x^6+11*x^5+24*x^4+43*x^3+13*x^2+40*x+4', 'y^2=49*x^6+40*x^5+5*x^4+58*x^3+7*x^2+43*x+41', 'y^2=31*x^6+25*x^5+23*x^4+24*x^3+23*x^2+25*x+31', 'y^2=46*x^6+30*x^5+43*x^4+7*x^3+13*x^2+47*x+12', 'y^2=56*x^6+24*x^5+42*x^4+45*x^3+42*x^2+24*x+56', 'y^2=38*x^6+23*x^5+58*x^4+47*x^3+58*x^2+23*x+38', 'y^2=21*x^6+6*x^5+27*x^4+44*x^3+21*x^2+8*x+48', 'y^2=57*x^6+13*x^5+57*x^4+38*x^3+19*x^2+8*x+48', 'y^2=49*x^6+34*x^5+14*x^4+19*x^3+14*x^2+34*x+49', 'y^2=30*x^6+17*x^5+16*x^4+27*x^3+16*x^2+17*x+30', 'y^2=14*x^6+56*x^4+56*x^2+14', 'y^2=26*x^6+15*x^5+27*x^4+27*x^3+29*x^2+36*x+29', 'y^2=25*x^6+29*x^5+58*x^4+3*x^3+32*x^2+19*x+15', 'y^2=33*x^6+23*x^5+13*x^4+30*x^3+13*x^2+23*x+33', 'y^2=49*x^6+29*x^5+30*x^4+46*x^3+30*x^2+29*x+49', 'y^2=57*x^6+3*x^5+13*x^4+27*x^3+37*x^2+25*x+4', 'y^2=35*x^6+53*x^5+47*x^4+22*x^3+47*x^2+53*x+35', 'y^2=19*x^6+31*x^4+31*x^2+19', 'y^2=29*x^6+7*x^5+55*x^3+16*x+49', 'y^2=8*x^5+14*x^4+55*x^3+38*x^2+18*x', 'y^2=18*x^6+44*x^4+44*x^2+18', 'y^2=3*x^6+26*x^5+36*x^4+55*x^3+25*x^2+17*x+25', 'y^2=41*x^6+47*x^5+3*x^4+21*x^3+3*x^2+47*x+41', 'y^2=12*x^6+7*x^4+7*x^2+12', 'y^2=23*x^6+18*x^5+21*x^4+2*x^3+25*x^2+52*x+56', 'y^2=30*x^6+22*x^5+43*x^4+42*x^3+43*x^2+22*x+30', 'y^2=10*x^5+14*x^4+4*x^3+14*x^2+10*x', 'y^2=55*x^6+28*x^4+28*x^2+55', 'y^2=29*x^6+17*x^5+26*x^4+50*x^3+29*x^2+16*x+51', 'y^2=20*x^6+37*x^5+20*x^4+8*x^3+x^2+38*x+9', 'y^2=34*x^6+56*x^5+27*x^4+56*x^3+25*x^2+54*x+43', 'y^2=7*x^6+32*x^4+32*x^2+7', 'y^2=46*x^6+49*x^5+13*x^4+11*x^3+13*x^2+49*x+46'], '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': ['2.0.23.1'], 'geometric_splitting_field': '2.0.23.1', 'geometric_splitting_polynomials': [[6, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 33, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 33, 'label': '2.59.y_kc', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.23.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 24, 262, 1416, 3481], 'poly_str': '1 24 262 1416 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 24, 144], 'simple_distinct': ['1.59.m'], 'simple_factors': ['1.59.mA', '1.59.mB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.23.1', 'splitting_polynomials': [[6, -1, 1]], 'twist_count': 6, 'twists': [['2.59.ay_kc', '2.3481.aca_lhu', 2], ['2.59.a_aba', '2.3481.aca_lhu', 2], ['2.59.am_dh', '2.205379.abem_bghpu', 3], ['2.59.a_ba', '2.12117361.spo_fjnaoc', 4], ['2.59.m_dh', '2.42180533641.bcxia_snvvatfy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.59.y_kc', 'extension_degree': 1, 'extension_label': '1.59.m', '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': '2.0.23.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.m', 'galois_group': '2T1', 'places': [['32', '1'], ['26', '1']]}