Abelian variety isogeny class data - 2.59.ax_jm

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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': 2348, 'abvar_counts': [2348, 11993584, 42332026256, 146936419967168, 511152420522585988, 1779202655853456261376, 6193385929153615504728692, 21559178008157842536547451648, 75047497568009055103933642969232, 261240336065829777983397259334034544], 'abvar_counts_str': '2348 11993584 42332026256 146936419967168 511152420522585988 1779202655853456261376 6193385929153615504728692 21559178008157842536547451648 75047497568009055103933642969232 261240336065829777983397259334034544 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.155667863679461, 0.289401932736988], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 37, 'curve_counts': [37, 3445, 206116, 12126105, 714974187, 42180657814, 2488651370809, 146830441698033, 8662995935701756, 511116754398709605], 'curve_counts_str': '37 3445 206116 12126105 714974187 42180657814 2488651370809 146830441698033 8662995935701756 511116754398709605 ', 'curves': ['y^2=41*x^6+20*x^5+14*x^4+55*x^3+56*x^2+50*x+14', 'y^2=32*x^6+57*x^5+43*x^4+52*x^3+32*x^2+52*x+8', 'y^2=14*x^6+55*x^5+39*x^4+42*x^3+58*x^2+39*x+5', 'y^2=48*x^6+55*x^5+50*x^4+32*x^3+12*x^2+26*x+44', 'y^2=37*x^6+3*x^5+16*x^4+16*x^3+23*x^2+36*x+30', 'y^2=9*x^6+x^5+7*x^4+22*x^3+14*x^2+46*x+53', 'y^2=38*x^6+11*x^5+56*x^4+25*x^3+16*x^2+26*x+29', 'y^2=2*x^6+27*x^5+24*x^4+54*x^3+43*x^2+51*x+37', 'y^2=9*x^6+3*x^5+14*x^4+9*x^3+47*x^2+14*x+58', 'y^2=52*x^6+7*x^5+40*x^4+54*x^3+15*x^2+25*x+2', 'y^2=50*x^6+15*x^5+x^4+44*x^3+13*x^2+53*x+12', 'y^2=9*x^6+13*x^5+11*x^4+44*x^3+8*x^2+10*x+52'], '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': 2, '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': ['4.0.552857.1'], 'geometric_splitting_field': '4.0.552857.1', 'geometric_splitting_polynomials': [[529, -23, 42, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.59.ax_jm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.552857.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -23, 246, -1357, 3481], 'poly_str': '1 -23 246 -1357 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -23, 128], 'simple_distinct': ['2.59.ax_jm'], 'simple_factors': ['2.59.ax_jmA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2+F'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.552857.1', 'splitting_polynomials': [[529, -23, 42, -1, 1]], 'twist_count': 2, 'twists': [['2.59.x_jm', '2.3481.abl_hmm', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 7652, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2+F']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.59.ax_jm', 'extension_degree': 1, 'extension_label': '2.59.ax_jm', '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': '4.0.552857.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.ax_jm', 'galois_group': '4T3', 'places': [['22', '1', '0', '0'], ['2', '1', '0', '0'], ['52', '1', '0', '0'], ['41', '1', '0', '0']]}