Abelian variety isogeny class data - 3.5.j_bo_eh

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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': 711, 'abvar_counts': [711, 14931, 1672272, 245241675, 31800115611, 3728658189312, 479464870912983, 59561061079131675, 7454093715327529872, 931105159113787345611], 'abvar_counts_str': '711 14931 1672272 245241675 31800115611 3728658189312 479464870912983 59561061079131675 7454093715327529872 931105159113787345611 ', 'angle_corank': 1, 'angle_rank': 2, 'angles': [0.615380441757821, 0.73405785978537, 0.948713775091154], 'center_dim': 6, 'cohen_macaulay_max': 1, 'curve_count': 15, 'curve_counts': [15, 25, 108, 629, 3255, 15268, 78555, 390341, 1954044, 9763345], 'curve_counts_str': '15 25 108 629 3255 15268 78555 390341 1954044 9763345 ', 'curves': ['3*x^3*y+3*x^3*z+3*x^2*y^2+2*x^2*y*z+x^2*z^2+x*z^3+y^3*z=0'], 'dim1_distinct': 1, 'dim1_factors': 1, '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': 2, 'g': 3, 'galois_groups': ['2T1', '4T2'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 3, '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': 6, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.11.1', '2.0.24.1'], 'geometric_splitting_field': '4.0.69696.2', 'geometric_splitting_polynomials': [[15, -18, 19, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '3.5.j_bo_eh', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 24, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.11.1', '4.0.576.2'], 'p': 5, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, 9, 40, 111, 200, 225, 125], 'poly_str': '1 9 40 111 200 225 125 ', 'primitive_models': [], 'q': 5, 'real_poly': [1, 9, 25, 21], 'simple_distinct': ['1.5.d', '2.5.g_r'], 'simple_factors': ['1.5.dA', '2.5.g_rA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-3*F^2-9*F+V^2+V-4'], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '8.0.4857532416.1', 'splitting_polynomials': [[31, 86, -17, -82, 96, -14, 1, -2, 1]], 'twist_count': 12, 'twists': [['3.5.aj_bo_aeh', '3.25.ab_c_aer', 2], ['3.5.ad_e_aj', '3.25.ab_c_aer', 2], ['3.5.d_e_j', '3.25.ab_c_aer', 2], ['3.5.ad_e_aj', '3.125.as_ar_dui', 3], ['3.5.d_h_g', '3.125.as_ar_dui', 3], ['3.5.ad_h_ag', '3.15625.anu_fagt_abbtkwi', 6], ['3.5.ad_d_g', '3.244140625.csyc_eqcfwwd_exheuszzey', 12], ['3.5.d_d_ag', '3.244140625.csyc_eqcfwwd_exheuszzey', 12], ['3.5.ah_z_acm', '3.59604644775390625.burysac_bybfxgnnvcsix_blppnwzrvefnqddyasi', 24], ['3.5.ab_b_aq', '3.59604644775390625.burysac_bybfxgnnvcsix_blppnwzrvefnqddyasi', 24], ['3.5.b_b_q', '3.59604644775390625.burysac_bybfxgnnvcsix_blppnwzrvefnqddyasi', 24], ['3.5.h_z_cm', '3.59604644775390625.burysac_bybfxgnnvcsix_blppnwzrvefnqddyasi', 24]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 99, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-3*F^2-9*F+V^2+V-4']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 1369544
    {'base_label': '3.5.j_bo_eh', 'extension_degree': 1, 'extension_label': '1.5.d', 'multiplicity': 1}
  • id: 1369545
    {'base_label': '3.5.j_bo_eh', 'extension_degree': 1, 'extension_label': '2.5.g_r', 'multiplicity': 1}
  • id: 1369546
    {'base_label': '3.5.j_bo_eh', 'extension_degree': 2, 'extension_label': '1.25.b', 'multiplicity': 1}
  • id: 1369547
    {'base_label': '3.5.j_bo_eh', 'extension_degree': 2, 'extension_label': '2.25.ac_av', 'multiplicity': 1}
  • id: 1369548
    {'base_label': '3.5.j_bo_eh', 'extension_degree': 3, 'extension_label': '1.125.as', 'multiplicity': 1}
  • id: 1369549
    {'base_label': '3.5.j_bo_eh', 'extension_degree': 3, 'extension_label': '2.125.a_afm', 'multiplicity': 1}
  • id: 1369550
    {'base_label': '3.5.j_bo_eh', 'extension_degree': 6, 'extension_label': '1.15625.afm', 'multiplicity': 2}
  • id: 1369551
    {'base_label': '3.5.j_bo_eh', 'extension_degree': 6, 'extension_label': '1.15625.acw', '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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.5.d', 'galois_group': '2T1', 'places': [['1', '1'], ['3', '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': '4.0.576.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.5.g_r', 'galois_group': '4T2', 'places': [['2', '2', '4', '0'], ['3', '2', '1', '0']]}
• 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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.25.b', 'galois_group': '2T1', 'places': [['3', '1'], ['1', '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': '4.0.576.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.25.ac_av', 'galois_group': '4T2', 'places': [['3', '2', '1', '0'], ['2', '2', '4', '0']]}
• 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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.125.as', 'galois_group': '2T1', 'places': [['1', '1'], ['3', '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': '4.0.576.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.125.a_afm', 'galois_group': '4T2', 'places': [['2', '2', '4', '0'], ['3', '2', '1', '0']]}
• 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': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.15625.afm', 'galois_group': '2T1', 'places': [['2', '1'], ['3', '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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.15625.acw', 'galois_group': '2T1', 'places': [['1', '1'], ['3', '1']]}