Abelian variety isogeny class data - 2.37.ap_ei

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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': 912, 'abvar_counts': [912, 1871424, 2565722304, 3507355489536, 4807123165898832, 6582930941243068416, 9012129474912049556688, 12337525060900849460081664, 16890053810563332285347318976, 23122483621633757477255423874624], 'abvar_counts_str': '912 1871424 2565722304 3507355489536 4807123165898832 6582930941243068416 9012129474912049556688 12337525060900849460081664 16890053810563332285347318976 23122483621633757477255423874624 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0811825253940822, 0.414515858727416], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 23, 'curve_counts': [23, 1369, 50654, 1871425, 69322883, 2565718198, 94932595319, 3512483196769, 129961739795078, 4808584363053889], 'curve_counts_str': '23 1369 50654 1871425 69322883 2565718198 94932595319 3512483196769 129961739795078 4808584363053889 ', 'curves': ['y^2=31*x^6+28*x^5+6*x^4+11*x^3+4*x^2+2*x+24', 'y^2=4*x^6+34*x^5+12*x^4+20*x^3+35*x^2+13*x+2', 'y^2=7*x^6+22*x^5+29*x^4+28*x^3+18*x^2+31*x', 'y^2=6*x^6+22*x^5+21*x^4+27*x^3+36*x^2+23*x+9', 'y^2=3*x^6+2*x^5+5*x^4+35*x^3+10*x^2+9*x+33', 'y^2=29*x^6+21*x^5+11*x^4+23*x^3+8*x^2+5*x+20', 'y^2=2*x^6+4*x^3+10', 'y^2=31*x^6+x^5+24*x^4+32*x^3+11*x^2+24*x+19', 'y^2=15*x^6+29*x^5+30*x^4+16*x^3+6*x^2+3*x+4', 'y^2=32*x^6+18*x^5+6*x^4+32*x^3+29*x^2+7*x+10', 'y^2=35*x^6+14*x^5+9*x^4+31*x^3+4*x^2+22*x+19', 'y^2=5*x^6+26*x^5+2*x^4+21*x^3+24*x^2+36*x+10', 'y^2=24*x^6+2*x^5+23*x^4+24*x^3+5*x^2+31*x+15', 'y^2=24*x^6+21*x^5+30*x^4+21*x^3+6*x^2+11*x+27', 'y^2=12*x^6+3*x^5+32*x^4+35*x^3+34*x^2+18*x', 'y^2=x^6+24*x^5+21*x^4+9*x^3+33*x^2+33*x+27', 'y^2=x^6+x^3+18', 'y^2=7*x^6+34*x^5+21*x^4+2*x^3+5*x^2+14*x+15', 'y^2=2*x^6+14*x^5+6*x^4+21*x^3+24*x^2+9*x+3', 'y^2=22*x^6+3*x^5+32*x^4+34*x^3+9*x^2+27*x+5', 'y^2=35*x^6+14*x^5+31*x^4+20*x^3+21*x^2+9*x+12', 'y^2=19*x^6+34*x^5+29*x^4+20*x^3+16*x^2+19*x+13', 'y^2=5*x^6+35*x^5+24*x^4+8*x^3+35*x^2+22*x+6', 'y^2=29*x^6+35*x^5+6*x^4+12*x^3+20*x^2+13*x+19', 'y^2=21*x^6+22*x^5+6*x^4+27*x^3+23*x^2+7*x+28', 'y^2=5*x^6+16*x^5+8*x^4+23*x^3+5*x^2+35*x', 'y^2=5*x^6+4*x^5+35*x^4+32*x^3+17*x^2+22*x+25', 'y^2=14*x^6+28*x^5+12*x^4+22*x^3+16*x^2+5*x+5'], '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': 6, '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': 6, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.219.1'], 'geometric_splitting_field': '2.0.219.1', 'geometric_splitting_polynomials': [[55, -1, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 28, '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': 28, 'label': '2.37.ap_ei', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.47961.2'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2], [1, 19, 1, 6], [1, 19, 2, 2]], 'poly': [1, -15, 112, -555, 1369], 'poly_str': '1 -15 112 -555 1369 ', 'primitive_models': [], 'principal_polarization_count': 28, 'q': 37, 'real_poly': [1, -15, 38], 'simple_distinct': ['2.37.ap_ei'], 'simple_factors': ['2.37.ap_eiA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-7*F-3*V+50', '2,2*F+V-13'], 'size': 28, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.47961.2', 'splitting_polynomials': [[324, 18, 19, -1, 1]], 'twist_count': 4, 'twists': [['2.37.p_ei', '2.1369.ab_acaq', 2], ['2.37.a_b', '2.50653.a_agby', 3], ['2.37.p_ei', '2.50653.a_agby', 3], ['2.37.a_ab', '2.6582952005840035281.bhcynlro_pwcgjxbzuovuvm', 12]], 'weak_equivalence_count': 6, 'zfv_index': 12, 'zfv_index_factorization': [[2, 2], [3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1296, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,-7*F-3*V+50', '2,2*F+V-13']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 25793
    {'base_label': '2.37.ap_ei', 'extension_degree': 1, 'extension_label': '2.37.ap_ei', 'multiplicity': 1}
  • id: 25794
    {'base_label': '2.37.ap_ei', 'extension_degree': 2, 'extension_label': '2.1369.ab_acaq', 'multiplicity': 1}
  • id: 25795
    {'base_label': '2.37.ap_ei', 'extension_degree': 3, 'extension_label': '2.50653.a_agby', 'multiplicity': 1}
  • id: 25796
    {'base_label': '2.37.ap_ei', 'extension_degree': 6, 'extension_label': '1.2565726409.agby', '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', '0', '0'], 'center': '4.0.47961.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.ap_ei', 'galois_group': '4T2', 'places': [['17', '1', '0', '0'], ['12', '1', '0', '0'], ['9', '1', '0', '0'], ['35', '1', '0', '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', '0', '0'], 'center': '4.0.47961.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.1369.ab_acaq', 'galois_group': '4T2', 'places': [['17', '1', '0', '0'], ['12', '1', '0', '0'], ['9', '1', '0', '0'], ['35', '1', '0', '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', '0', '0'], 'center': '4.0.47961.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.50653.a_agby', 'galois_group': '4T2', 'places': [['17', '1', '0', '0'], ['12', '1', '0', '0'], ['9', '1', '0', '0'], ['35', '1', '0', '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': '2.0.219.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2565726409.agby', 'galois_group': '2T1', 'places': [['29', '1'], ['7', '1']]}