Abelian variety isogeny class data - 2.31.e_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': 1156, 'abvar_counts': [1156, 1040400, 876988996, 850231526400, 820109499102916, 787712305497296400, 756926533207213005316, 727422725458241818214400, 699054162997232529206510596, 671790506959102629859670250000], 'abvar_counts_str': '1156 1040400 876988996 850231526400 820109499102916 787712305497296400 756926533207213005316 727422725458241818214400 699054162997232529206510596 671790506959102629859670250000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.557482058975517, 0.557482058975517], 'center_dim': 2, 'curve_count': 36, 'curve_counts': [36, 1078, 29436, 920638, 28645956, 887559478, 27511981596, 852890572798, 26439642697956, 819628260310198], 'curve_counts_str': '36 1078 29436 920638 28645956 887559478 27511981596 852890572798 26439642697956 819628260310198 ', 'curves': ['y^2=5*x^6+30*x^5+10*x^4+8*x^3+10*x^2+30*x+5', 'y^2=25*x^6+12*x^5+16*x^4+11*x^3+28*x^2+10*x+3', 'y^2=3*x^6+15*x^3+3', 'y^2=3*x^6+30*x^3+24', 'y^2=26*x^6+4*x^5+5*x^4+4*x^3+5*x^2+4*x+26', 'y^2=10*x^6+22*x^5+3*x^4+29*x^3+30*x^2+30*x+18', 'y^2=10*x^6+3*x^5+5*x^4+16*x^3+5*x^2+3*x+10', 'y^2=28*x^6+7*x^5+x^4+25*x^3+5*x^2+13*x+2', 'y^2=21*x^6+2*x^5+11*x^4+25*x^3+18*x^2+20', 'y^2=6*x^6+22*x^5+11*x^4+11*x^3+27*x^2+28*x+5', 'y^2=5*x^6+25*x^5+28*x^3+10*x+18', 'y^2=27*x^6+19*x^5+5*x^4+24*x^3+12*x^2+18*x+5', 'y^2=21*x^6+21*x^5+28*x^4+15*x^3+22*x^2+25*x+15', 'y^2=18*x^6+19*x^5+20*x^4+2*x^3+20*x^2+19*x+18', 'y^2=9*x^6+20*x^5+23*x^4+17*x^3+27*x^2+5*x+5', 'y^2=30*x^6+x^5+22*x^4+20*x^3+18*x^2+17*x+30', 'y^2=6*x^6+4*x^5+29*x^4+2*x^3+17*x^2+10*x+12', 'y^2=5*x^6+25*x^5+25*x^4+2*x^3+10*x^2+15*x+13', 'y^2=20*x^6+17*x^4+17*x^2+20', 'y^2=15*x^6+23*x^5+2*x^4+25*x^3+2*x^2+23*x+15', 'y^2=3*x^6+12*x^5+15*x^3+21*x^2+19*x+6', 'y^2=15*x^6+26*x^4+26*x^2+15', 'y^2=8*x^6+8*x^5+17*x^4+26*x^3+15*x^2+22*x+1', 'y^2=6*x^6+6*x^5+27*x^4+14*x^3+27*x^2+6*x+6'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['2T1'], '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.120.1'], 'geometric_splitting_field': '2.0.120.1', 'geometric_splitting_polynomials': [[30, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.31.e_co', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.120.1'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 4, 66, 124, 961], 'poly_str': '1 4 66 124 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, 4, 4], 'simple_distinct': ['1.31.c'], 'simple_factors': ['1.31.cA', '1.31.cB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.120.1', 'splitting_polynomials': [[30, 0, 1]], 'twist_count': 6, 'twists': [['2.31.ae_co', '2.961.em_hvi', 2], ['2.31.a_cg', '2.961.em_hvi', 2], ['2.31.ac_abb', '2.29791.ans_ffag', 3], ['2.31.a_acg', '2.923521.aegy_ipkhq', 4], ['2.31.c_abb', '2.887503681.deoa_igxkhny', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.31.e_co', 'extension_degree': 1, 'extension_label': '1.31.c', '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': '2.0.120.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.31.c', 'galois_group': '2T1', 'places': [['1', '1'], ['30', '1']]}