Abelian variety isogeny class data - 2.59.ax_jd

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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': 2339, 'abvar_counts': [2339, 11926561, 42203847077, 146810968680941, 511074726590659024, 1779171108092886364129, 6193378760325947721396209, 21559178107789230670913466869, 75047498093387165246069364982367, 261240336048162975267712361571755776], 'abvar_counts_str': '2339 11926561 42203847077 146810968680941 511074726590659024 1779171108092886364129 6193378760325947721396209 21559178107789230670913466869 75047498093387165246069364982367 261240336048162975267712361571755776 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.054208803062327, 0.329038588492897], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 37, 'curve_counts': [37, 3427, 205495, 12115755, 714865512, 42179909887, 2488648490197, 146830442376579, 8662995996347995, 511116754364144502], 'curve_counts_str': '37 3427 205495 12115755 714865512 42179909887 2488648490197 146830442376579 8662995996347995 511116754364144502 ', 'curves': ['y^2=8*x^6+47*x^5+11*x^4+6*x^3+15*x^2+12*x+32', 'y^2=32*x^6+52*x^5+18*x^4+35*x^3+33*x^2+34*x+56', 'y^2=50*x^6+27*x^5+26*x^4+2*x^3+52*x^2+36*x+37', 'y^2=36*x^5+3*x^4+8*x^3+3*x^2+51*x+18', 'y^2=50*x^6+12*x^5+33*x^4+42*x^3+37*x^2+7*x+58', 'y^2=7*x^6+56*x^5+50*x^4+15*x^3+56*x^2+52*x+47', 'y^2=17*x^6+47*x^5+45*x^4+32*x^3+31*x^2+53*x+6', 'y^2=43*x^6+26*x^5+17*x^4+11*x^3+10*x^2+47*x+54', 'y^2=37*x^6+6*x^5+16*x^4+37*x^3+53*x^2+35*x+23', 'y^2=11*x^6+42*x^5+18*x^4+44*x^3+23*x^2+13*x+11', 'y^2=57*x^6+52*x^5+44*x^4+58*x^3+39*x^2+19*x+11'], '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': ['4.0.3317429.1'], 'geometric_splitting_field': '4.0.3317429.1', 'geometric_splitting_polynomials': [[199, 133, 39, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 11, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 11, 'label': '2.59.ax_jd', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.3317429.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -23, 237, -1357, 3481], 'poly_str': '1 -23 237 -1357 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -23, 119], 'simple_distinct': ['2.59.ax_jd'], 'simple_factors': ['2.59.ax_jdA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3317429.1', 'splitting_polynomials': [[199, 133, 39, -1, 1]], 'twist_count': 2, 'twists': [['2.59.x_jd', '2.3481.acd_bbh', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1181, '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': '2.59.ax_jd', 'extension_degree': 1, 'extension_label': '2.59.ax_jd', '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', '0', '0'], 'center': '4.0.3317429.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.ax_jd', 'galois_group': '4T3', 'places': [['56', '1', '0', '0'], ['14', '1', '0', '0'], ['462/59', '3165/59', '19/59', '3473/59'], ['1524/59', '3165/59', '19/59', '3473/59']]}