Abelian variety isogeny class data - 2.29.aq_eo

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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': 480, 'abvar_counts': [480, 691200, 599124960, 501037056000, 420733195442400, 353807062158412800, 297558456493324374240, 250247167621141856256000, 210457481346524611472202720, 176994605810761422620100480000], 'abvar_counts_str': '480 691200 599124960 501037056000 420733195442400 353807062158412800 297558456493324374240 250247167621141856256000 210457481346524611472202720 176994605810761422620100480000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.121118941590843, 0.311919362152108], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 14, 'curve_counts': [14, 822, 24566, 708398, 20512414, 594810342, 17249889286, 500247800158, 14507159554094, 420707303799702], 'curve_counts_str': '14 822 24566 708398 20512414 594810342 17249889286 500247800158 14507159554094 420707303799702 ', 'curves': ['y^2=14*x^6+11*x^5+6*x^4+10*x^3+21*x^2+22*x+4', 'y^2=14*x^6+7*x^5+26*x^4+11*x^3+3*x^2+7*x+15', 'y^2=8*x^6+7*x^5+17*x^4+19*x^3+17*x^2+7*x+8', 'y^2=28*x^6+19*x^5+21*x^4+13*x^3+21*x^2+19*x+28', 'y^2=26*x^6+14*x^5+16*x^4+17*x^3+13*x^2+22*x+27', 'y^2=25*x^6+10*x^5+25*x^4+24*x^3+25*x^2+10*x+25', 'y^2=27*x^6+22*x^5+12*x^4+22*x^3+12*x^2+22*x+27', 'y^2=22*x^6+6*x^5+22*x^3+9*x^2+28*x+14', 'y^2=23*x^6+2*x^5+7*x^4+5*x^3+7*x^2+2*x+23', 'y^2=13*x^6+x^5+25*x^4+14*x^3+15*x^2+18*x+17', 'y^2=26*x^6+x^5+23*x^4+23*x^3+11*x^2+2*x+10', 'y^2=19*x^6+12*x^5+19*x^4+15*x^3+19*x^2+12*x+19', 'y^2=17*x^6+22*x^5+21*x^4+27*x^3+3*x^2+4*x+14', 'y^2=11*x^6+6*x^5+26*x^4+24*x^3+11*x^2+20*x+28', 'y^2=19*x^6+14*x^5+3*x^4+14*x^3+7*x^2+18*x+15', 'y^2=8*x^6+x^5+10*x^4+7*x^3+10*x^2+x+8', 'y^2=27*x^6+13*x^5+8*x^4+22*x^3+8*x^2+13*x+27', 'y^2=17*x^6+27*x^5+10*x^4+23*x^3+10*x^2+27*x+17', 'y^2=2*x^6+4*x^5+10*x^4+3*x^3+15*x^2+9*x+14', 'y^2=19*x^6+18*x^5+14*x^4+16*x^3+21*x^2+26*x+17', 'y^2=4*x^6+3*x^5+9*x^4+6*x^3+9*x^2+3*x+4', 'y^2=8*x^6+7*x^5+27*x^4+23*x^3+16*x^2+28*x+17'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 14, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.4.1', '2.0.20.1'], 'geometric_splitting_field': '4.0.400.1', 'geometric_splitting_polynomials': [[1, 0, 3, 0, 1]], 'group_structure_count': 6, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 22, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 22, 'label': '2.29.aq_eo', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.4.1', '2.0.20.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[2, 3, 1, 8], [1, 5, 1, 4]], 'poly': [1, -16, 118, -464, 841], 'poly_str': '1 -16 118 -464 841 ', 'primitive_models': [], 'principal_polarization_count': 34, 'q': 29, 'real_poly': [1, -16, 60], 'simple_distinct': ['1.29.ak', '1.29.ag'], 'simple_factors': ['1.29.akA', '1.29.agA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,9*F+3'], 'size': 104, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.400.1', 'splitting_polynomials': [[1, 0, 3, 0, 1]], 'twist_count': 8, 'twists': [['2.29.ae_ac', '2.841.au_bde', 2], ['2.29.e_ac', '2.841.au_bde', 2], ['2.29.q_eo', '2.841.au_bde', 2], ['2.29.ak_de', '2.707281.bqy_cwxfy', 4], ['2.29.ac_bi', '2.707281.bqy_cwxfy', 4], ['2.29.c_bi', '2.707281.bqy_cwxfy', 4], ['2.29.k_de', '2.707281.bqy_cwxfy', 4]], 'weak_equivalence_count': 23, 'zfv_index': 64, 'zfv_index_factorization': [[2, 6]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 16, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1280, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,9*F+3']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 19676
    {'base_label': '2.29.aq_eo', 'extension_degree': 1, 'extension_label': '1.29.ak', 'multiplicity': 1}
  • id: 19677
    {'base_label': '2.29.aq_eo', 'extension_degree': 1, 'extension_label': '1.29.ag', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.ak', 'galois_group': '2T1', 'places': [['12', '1'], ['17', '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': '2.0.20.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.ag', 'galois_group': '2T1', 'places': [['13', '1'], ['16', '1']]}