Abelian variety isogeny class data - 2.29.ag_co

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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': 728, 'abvar_counts': [728, 792064, 605894744, 499317145600, 420382317002648, 353808445281281536, 297564692233130213528, 250247123823444649574400, 210457205380303408215003224, 176994557503252769613679650304], 'abvar_counts_str': '728 792064 605894744 499317145600 420382317002648 353808445281281536 297564692233130213528 250247123823444649574400 210457205380303408215003224 176994557503252769613679650304 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.378881058409157, 0.440546251001648], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 24, 'curve_counts': [24, 938, 24840, 705966, 20495304, 594812666, 17250250776, 500247712606, 14507140531320, 420707188975178], 'curve_counts_str': '24 938 24840 705966 20495304 594812666 17250250776 500247712606 14507140531320 420707188975178 ', 'curves': ['y^2=26*x^6+6*x^5+27*x^4+18*x^3+27*x^2+6*x+26', 'y^2=23*x^6+22*x^5+10*x^4+16*x^3+10*x^2+22*x+23', 'y^2=27*x^6+26*x^5+x^4+24*x^3+13*x^2+15*x+14', 'y^2=4*x^6+4*x^5+5*x^4+12*x^3+4*x^2+13*x+22', 'y^2=18*x^6+13*x^5+15*x^4+15*x^2+13*x+18', 'y^2=6*x^5+22*x^4+18*x^3+22*x^2+6*x', 'y^2=17*x^6+4*x^5+18*x^4+7*x^3+18*x^2+4*x+17', 'y^2=18*x^6+23*x^5+2*x^4+25*x^3+21*x^2+20*x+8', 'y^2=13*x^6+22*x^5+10*x^4+25*x^3+17*x^2+5*x+7', 'y^2=18*x^6+3*x^5+22*x^4+12*x^3+22*x^2+3*x+18'], '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': 16, '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', '2.0.7.1'], 'geometric_splitting_field': '4.0.784.1', 'geometric_splitting_polynomials': [[4, 0, -3, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 10, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 10, 'label': '2.29.ag_co', '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', '2.0.7.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -6, 66, -174, 841], 'poly_str': '1 -6 66 -174 841 ', 'primitive_models': [], 'q': 29, 'real_poly': [1, -6, 8], 'simple_distinct': ['1.29.ae', '1.29.ac'], 'simple_factors': ['1.29.aeA', '1.29.acA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,5*V-17', '5,20*F+16*V-32'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.784.1', 'splitting_polynomials': [[4, 0, -3, 0, 1]], 'twist_count': 8, 'twists': [['2.29.ac_by', '2.841.ds_fvy', 2], ['2.29.c_by', '2.841.ds_fvy', 2], ['2.29.g_co', '2.841.ds_fvy', 2], ['2.29.am_da', '2.707281.abyq_diggc', 4], ['2.29.ai_bm', '2.707281.abyq_diggc', 4], ['2.29.i_bm', '2.707281.abyq_diggc', 4], ['2.29.m_da', '2.707281.abyq_diggc', 4]], 'weak_equivalence_count': 20, 'zfv_index': 80, 'zfv_index_factorization': [[2, 4], [5, 1]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 11200, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,5*V-17', '5,20*F+16*V-32']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 19613
    {'base_label': '2.29.ag_co', 'extension_degree': 1, 'extension_label': '1.29.ae', 'multiplicity': 1}
  • id: 19614
    {'base_label': '2.29.ag_co', 'extension_degree': 1, 'extension_label': '1.29.ac', '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.ae', 'galois_group': '2T1', 'places': [['17', '1'], ['12', '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': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.29.ac', 'galois_group': '2T1', 'places': [['21', '1'], ['7', '1']]}