Abelian variety isogeny class data - 2.61.a_aek

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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': 3608, 'abvar_counts': [3608, 13017664, 51520165400, 191553571922944, 713342912080733528, 2654327442843357160000, 9876832533366532093782488, 36751692646874993966708834304, 136753052840548029068400865544600, 508858110215821123925624974543326784], 'abvar_counts_str': '3608 13017664 51520165400 191553571922944 713342912080733528 2654327442843357160000 9876832533366532093782488 36751692646874993966708834304 136753052840548029068400865544600 508858110215821123925624974543326784 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0579565411254107, 0.942043458874589], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 62, 'curve_counts': [62, 3494, 226982, 13834734, 844596302, 51519956438, 3142742836022, 191707306686814, 11694146092834142, 713342912498584454], 'curve_counts_str': '62 3494 226982 13834734 844596302 51519956438 3142742836022 191707306686814 11694146092834142 713342912498584454 ', 'curves': ['y^2=33*x^6+x^5+56*x^4+35*x^3+29*x^2+54*x+11', 'y^2=26*x^6+7*x^5+5*x^4+6*x^3+27*x+28', 'y^2=43*x^6+5*x^5+32*x^3+24*x^2+20*x+50', 'y^2=31*x^6+30*x^5+6*x^4+50*x^3+46*x^2+17*x+55', 'y^2=14*x^6+60*x^5+12*x^4+9*x^3+3*x^2+48*x+45', 'y^2=16*x^6+26*x^5+42*x^4+27*x^3+30*x^2+17*x+43', 'y^2=51*x^6+13*x^5+30*x^4+10*x^3+53*x^2+12*x+32', 'y^2=28*x^5+47*x^4+12*x^3+7*x^2+7*x', 'y^2=50*x^6+41*x^5+7*x^4+44*x^3+15*x^2+36*x+51', 'y^2=29*x^6+37*x^5+3*x^4+44*x^3+17*x^2+2*x+49', 'y^2=17*x^6+47*x^5+20*x^4+54*x^3+26*x^2+29*x+59', 'y^2=52*x^6+26*x^5+28*x^4+36*x^3+21*x^2+36*x+21'], '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': 4, 'g': 2, 'galois_groups': ['4T2'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.472.1'], 'geometric_splitting_field': '2.0.472.1', 'geometric_splitting_polynomials': [[118, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.61.a_aek', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.891136.1'], 'p': 61, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -114, 0, 3721], 'poly_str': '1 0 -114 0 3721 ', 'primitive_models': [], 'q': 61, 'real_poly': [1, 0, -236], 'simple_distinct': ['2.61.a_aek'], 'simple_factors': ['2.61.a_aekA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-3*F+2*V-3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.891136.1', 'splitting_polynomials': [[841, 0, 60, 0, 1]], 'twist_count': 4, 'twists': [['2.61.a_ek', '2.13845841.aqlg_eycpoo', 4], ['2.61.ae_i', '2.191707312997281.anvbai_culsnowgjgw', 8], ['2.61.e_i', '2.191707312997281.anvbai_culsnowgjgw', 8]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 64, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-3*F+2*V-3']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 55476
    {'base_label': '2.61.a_aek', 'extension_degree': 1, 'extension_label': '2.61.a_aek', 'multiplicity': 1}
  • id: 55477
    {'base_label': '2.61.a_aek', 'extension_degree': 2, 'extension_label': '1.3721.aek', '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': '4.0.891136.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.61.a_aek', 'galois_group': '4T2', 'places': [['29', '14', '0', '31'], ['32', '14', '0', '31']]}
• 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': '2.0.472.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3721.aek', 'galois_group': '2T1', 'places': [['2', '1'], ['59', '1']]}