Abelian variety isogeny class data - 2.37.ah_de

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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': 1186, 'abvar_counts': [1186, 2037548, 2596391200, 3509570477504, 4807137618311146, 6582900073224300800, 9012093862419697168234, 12337514662827711669288704, 16890053897953841243578919200, 23122483941222079741276798828428], 'abvar_counts_str': '1186 2037548 2596391200 3509570477504 4807137618311146 6582900073224300800 9012093862419697168234 12337514662827711669288704 16890053897953841243578919200 23122483941222079741276798828428 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.348867809718615, 0.462274902656121], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 31, 'curve_counts': [31, 1485, 51256, 1872609, 69323091, 2565706170, 94932220183, 3512480236449, 129961740467512, 4808584429515925], 'curve_counts_str': '31 1485 51256 1872609 69323091 2565706170 94932220183 3512480236449 129961740467512 4808584429515925 ', 'curves': ['y^2=6*x^6+16*x^5+4*x^4+17*x^2+28*x+1', 'y^2=30*x^6+9*x^5+2*x^3+24*x^2+28*x+24', 'y^2=22*x^6+x^5+26*x^4+18*x^3+19*x^2+9*x+21', 'y^2=29*x^6+11*x^5+6*x^4+30*x^3+15*x^2+25*x+8', 'y^2=19*x^6+11*x^5+27*x^4+8*x^3+11*x^2+30*x+24', 'y^2=33*x^6+28*x^5+17*x^4+8*x^3+20*x^2+21*x+29', 'y^2=2*x^6+20*x^5+22*x^4+4*x^3+35*x^2+9*x+10', 'y^2=5*x^6+14*x^5+21*x^4+34*x^3+2*x^2+9*x+2', 'y^2=6*x^6+24*x^5+20*x^4+34*x^3+4*x^2+21*x+34', 'y^2=18*x^6+12*x^5+8*x^4+16*x^3+35*x^2+12*x+17', 'y^2=35*x^6+8*x^5+2*x^3+17*x^2+3*x+4', 'y^2=31*x^6+5*x^5+23*x^4+19*x^3+17*x^2+20*x+24', 'y^2=25*x^6+14*x^5+35*x^4+32*x^3+6*x^2+7*x+7', 'y^2=24*x^6+34*x^5+11*x^4+x^3+17*x^2+26*x+17', 'y^2=26*x^6+7*x^5+34*x^4+19*x^3+3*x^2+3*x+32', 'y^2=19*x^6+8*x^5+19*x^3+25*x^2+11*x+13', 'y^2=34*x^6+33*x^5+32*x^4+25*x^3+18*x^2+13*x+4', 'y^2=36*x^6+31*x^5+27*x^4+4*x^3+x^2+23*x+8', 'y^2=12*x^6+33*x^5+31*x^4+11*x^3+24*x^2+8*x+14', 'y^2=10*x^6+x^5+2*x^4+2*x^3+7*x^2+20*x+10'], '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': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.4937276.1'], 'geometric_splitting_field': '4.0.4937276.1', 'geometric_splitting_polynomials': [[1139, -17, 64, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 20, 'label': '2.37.ah_de', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.4937276.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 13, 1, 20]], 'poly': [1, -7, 82, -259, 1369], 'poly_str': '1 -7 82 -259 1369 ', 'primitive_models': [], 'principal_polarization_count': 20, 'q': 37, 'real_poly': [1, -7, 8], 'simple_distinct': ['2.37.ah_de'], 'simple_factors': ['2.37.ah_deA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 20, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.4937276.1', 'splitting_polynomials': [[1139, -17, 64, -1, 1]], 'twist_count': 2, 'twists': [['2.37.h_de', '2.1369.el_iqm', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 20, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 17084, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.37.ah_de', 'extension_degree': 1, 'extension_label': '2.37.ah_de', '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': '4.0.4937276.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.37.ah_de', 'galois_group': '4T3', 'places': [['115/37', '66/37', '1/37', '1/37'], ['35', '1', '0', '0']]}