Abelian variety isogeny class data - 2.53.e_eg

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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': 3136, 'abvar_counts': [3136, 8479744, 22072450624, 62184201404416, 174909219716478016, 491267843405877830656, 1379942076768925699763776, 3876268162938773983346294784, 10888440478917979817003449961536, 30585627346912574921263753651201024], 'abvar_counts_str': '3136 8479744 22072450624 62184201404416 174909219716478016 491267843405877830656 1379942076768925699763776 3876268162938773983346294784 10888440478917979817003449961536 30585627346912574921263753651201024 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.543861900583588, 0.543861900583588], 'center_dim': 2, 'curve_count': 58, 'curve_counts': [58, 3014, 148258, 7880910, 418247498, 22164764438, 1174707577010, 62259676161694, 3299763809131354, 174887470686087014], 'curve_counts_str': '58 3014 148258 7880910 418247498 22164764438 1174707577010 62259676161694 3299763809131354 174887470686087014 ', 'curves': ['y^2=10*x^6+35*x^5+35*x^4+35*x^3+7*x^2+29*x+38', 'y^2=42*x^6+17*x^5+44*x^4+30*x^3+10*x^2+32*x+51', 'y^2=36*x^6+21*x^5+35*x^4+6*x^3+18*x^2+17*x+17', 'y^2=48*x^6+25*x^5+25*x^4+35*x^3+29*x^2+41*x+30', 'y^2=26*x^6+30*x^5+4*x^4+45*x^3+17*x^2+45*x+20', 'y^2=11*x^6+17*x^4+16*x^3+38*x^2+40*x+45', 'y^2=12*x^6+9*x^5+30*x^4+7*x^3+11*x^2+15*x+26', 'y^2=43*x^6+24*x^5+46*x^4+47*x^3+37*x^2+4*x+47', 'y^2=38*x^6+41*x^5+34*x^4+15*x^3+19*x^2+49*x+52', 'y^2=44*x^6+17*x^4+26*x^3+50*x^2+19*x+1', 'y^2=16*x^6+8*x^5+21*x^4+15*x^3+35*x^2+50*x+1', 'y^2=18*x^6+39*x^5+32*x^4+28*x^3+10*x^2+14*x+48', 'y^2=20*x^6+16*x^5+4*x^4+x^2+24*x+7', 'y^2=41*x^6+23*x^4+23*x^2+41', 'y^2=16*x^6+34*x^4+34*x^2+16', 'y^2=2*x^6+32*x^5+50*x^4+3*x^3+50*x^2+32*x+2', 'y^2=30*x^5+4*x^4+44*x^3+16*x^2+3*x', 'y^2=13*x^6+17*x^5+31*x^4+6*x^3+34*x^2+20*x+52', 'y^2=2*x^6+5*x^5+48*x^4+30*x^3+32*x^2+14*x+32', 'y^2=23*x^6+x^5+14*x^4+24*x^3+36*x^2+30*x+17', 'y^2=25*x^6+32*x^5+45*x^3+46*x^2+23*x+45', 'y^2=21*x^6+37*x^5+27*x^4+28*x^3+27*x^2+37*x+21', 'y^2=31*x^6+15*x^5+38*x^4+51*x^3+26*x^2+24*x+8', 'y^2=17*x^6+13*x^5+14*x^4+44*x^3+8*x^2+11*x+19', 'y^2=31*x^6+12*x^4+12*x^2+31', 'y^2=16*x^6+41*x^5+52*x^4+51*x^3+52*x^2+41*x+16', 'y^2=46*x^6+3*x^5+x^4+9*x^3+48*x^2+26*x+9', 'y^2=37*x^6+4*x^5+20*x^4+46*x^3+14*x^2+23*x+24', 'y^2=17*x^6+x^5+19*x^4+37*x^3+19*x^2+x+17', 'y^2=21*x^6+17*x^4+17*x^2+21', 'y^2=38*x^6+8*x^5+40*x^3+3*x^2+39*x+29', 'y^2=12*x^5+15*x^4+5*x^3+38*x^2+28*x+40', 'y^2=8*x^6+8*x^5+3*x^4+15*x^3+2*x^2+10*x+3', 'y^2=51*x^6+19*x^5+13*x^4+16*x^3+50*x+6', 'y^2=17*x^6+16*x^5+9*x^4+22*x^3+42*x^2+x+16', 'y^2=21*x^6+4*x^5+42*x^4+x^3+42*x^2+4*x+21', 'y^2=50*x^6+23*x^4+23*x^2+50', 'y^2=52*x^6+30*x^5+3*x^4+18*x^3+35*x^2+20*x+4', 'y^2=26*x^6+10*x^5+11*x^4+7*x^3+52*x^2+33*x+22', 'y^2=37*x^6+36*x^5+25*x^4+28*x^3+25*x^2+36*x+37', 'y^2=12*x^6+33*x^5+10*x^4+x^3+49*x^2+10*x+30', 'y^2=32*x^6+20*x^5+45*x^4+47*x^3+8*x^2+20*x+21', 'y^2=5*x^5+31*x^4+42*x^3+45*x^2+23*x', 'y^2=26*x^6+16*x^5+41*x^4+10*x^3+41*x^2+16*x+26', 'y^2=8*x^6+35*x^4+45*x^3+14*x^2+48', 'y^2=x^6+46*x^5+38*x^4+21*x^2+19*x+36', 'y^2=41*x^6+13*x^5+16*x^4+7*x^3+16*x^2+13*x+41', 'y^2=26*x^6+33*x^5+6*x^4+51*x^3+5*x^2+22*x', 'y^2=30*x^6+40*x^5+21*x^4+27*x^3+39*x^2+6*x+50', 'y^2=23*x^6+31*x^5+5*x^4+32*x^3+11*x^2+41*x+42', 'y^2=5*x^6+18*x^5+31*x^4+34*x^3+31*x^2+18*x+5', 'y^2=48*x^6+21*x^5+38*x^4+17*x^3+2*x^2+50*x+11', 'y^2=20*x^6+34*x^5+4*x^4+18*x^3+19*x^2+28*x+37', 'y^2=14*x^6+50*x^5+37*x^4+21*x^3+x^2+34*x+25', 'y^2=48*x^6+46*x^5+21*x^4+24*x^3+21*x^2+46*x+48', 'y^2=13*x^6+4*x^5+20*x^4+35*x^3+8*x^2+7*x+25'], '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': ['2.0.52.1'], 'geometric_splitting_field': '2.0.52.1', 'geometric_splitting_polynomials': [[13, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 56, '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': 56, 'label': '2.53.e_eg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 7], 'number_fields': ['2.0.52.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 4, 110, 212, 2809], 'poly_str': '1 4 110 212 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, 4, 4], 'simple_distinct': ['1.53.c'], 'simple_factors': ['1.53.cA', '1.53.cB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.52.1', 'splitting_polynomials': [[13, 0, 1]], 'twist_count': 6, 'twists': [['2.53.ae_eg', '2.2809.hw_xsg', 2], ['2.53.a_dy', '2.2809.hw_xsg', 2], ['2.53.ac_abx', '2.148877.axw_wkqg', 3], ['2.53.a_ady', '2.7890481.aoee_dgrcyg', 4], ['2.53.c_abx', '2.22164361129.wypw_kpdmffsg', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.53.e_eg', 'extension_degree': 1, 'extension_label': '1.53.c', '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': '2.0.52.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.c', 'galois_group': '2T1', 'places': [['27', '1'], ['26', '1']]}