Abelian variety isogeny class data - 2.73.ae_fs

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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': 5182, 'abvar_counts': [5182, 29920868, 151660314046, 805950535067024, 4297434192014045182, 22902205210624502593700, 122045103964851771541760638, 650377837486730518601245036544, 3465863685120077643672064441343134, 18469587781314720795132176782040261028], 'abvar_counts_str': '5182 29920868 151660314046 805950535067024 4297434192014045182 22902205210624502593700 122045103964851771541760638 650377837486730518601245036544 3465863685120077643672064441343134 18469587781314720795132176782040261028 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.435970192555715, 0.489086021059739], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 70, 'curve_counts': [70, 5610, 389854, 28380294, 2072979150, 151335264810, 11047406659030, 806460039404094, 58871586089479942, 4297625831839511050], 'curve_counts_str': '70 5610 389854 28380294 2072979150 151335264810 11047406659030 806460039404094 58871586089479942 4297625831839511050 ', 'curves': ['y^2=45*x^5+41*x^4+14*x^3+48*x^2+52*x+1', 'y^2=26*x^6+34*x^5+71*x^4+43*x^3+37*x^2+71*x+70', 'y^2=32*x^6+16*x^4+x^3+53*x^2+15*x+68', 'y^2=20*x^6+27*x^5+70*x^4+34*x^3+60*x^2+60*x+72', 'y^2=41*x^6+8*x^5+59*x^4+50*x^3+45*x^2+29*x+72', 'y^2=21*x^6+51*x^5+44*x^4+37*x^3+67*x^2+27*x+35', 'y^2=23*x^6+68*x^5+17*x^4+2*x^3+4*x^2+17*x+71', 'y^2=56*x^6+25*x^5+18*x^4+24*x^3+x^2+71*x+24', 'y^2=51*x^6+65*x^5+42*x^4+17*x^3+15*x^2+19*x+45', 'y^2=20*x^6+67*x^5+8*x^4+21*x^3+66*x^2+44*x+49', 'y^2=54*x^6+59*x^5+61*x^4+11*x^3+8*x^2+60*x+67', 'y^2=29*x^6+45*x^5+21*x^4+32*x^3+69*x^2+15*x+42', 'y^2=33*x^6+14*x^5+57*x^4+5*x^3+7*x^2+18*x+42', 'y^2=54*x^6+72*x^5+3*x^4+43*x^3+23*x^2+x+56', 'y^2=53*x^6+41*x^5+41*x^4+14*x^3+72*x^2+2*x+7', 'y^2=17*x^6+63*x^5+36*x^4+10*x^3+x^2+49*x+43', 'y^2=14*x^6+13*x^5+57*x^4+64*x^3+35*x^2+22*x+62', 'y^2=31*x^6+18*x^5+57*x^4+50*x^3+20*x^2+9*x+57', 'y^2=63*x^6+8*x^5+67*x^4+49*x^3+71*x^2+5*x+6', 'y^2=10*x^6+72*x^5+63*x^4+28*x^3+6*x^2+51*x+37', 'y^2=69*x^6+12*x^5+11*x^4+66*x^3+52*x^2+3*x+13', 'y^2=57*x^6+11*x^5+4*x^4+9*x^3+6*x^2+60*x+59', 'y^2=65*x^6+41*x^5+34*x^4+71*x^3+40*x^2+7*x+36', 'y^2=5*x^6+17*x^5+22*x^4+36*x^3+58*x^2+49*x+70', 'y^2=63*x^6+72*x^5+52*x^4+30*x^3+25*x^2+26*x+56', 'y^2=54*x^6+39*x^5+57*x^4+54*x^3+44*x^2+x+55', 'y^2=29*x^6+9*x^5+25*x^4+12*x^3+40*x^2+19*x+30', 'y^2=10*x^6+63*x^5+58*x^4+46*x^3+23*x^2+22*x+66', 'y^2=16*x^6+x^5+15*x^4+64*x^3+11*x^2+55*x+35', 'y^2=35*x^6+47*x^5+64*x^4+12*x^3+66*x^2+33*x+51'], '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': ['4.0.5232896.2'], 'geometric_splitting_field': '4.0.5232896.2', 'geometric_splitting_polynomials': [[5182, -4, 142, 0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 30, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 30, 'label': '2.73.ae_fs', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.5232896.2'], 'p': 73, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 2, 1, 2], [1, 17, 1, 5], [1, 23, 1, 6]], 'poly': [1, -4, 148, -292, 5329], 'poly_str': '1 -4 148 -292 5329 ', 'primitive_models': [], 'principal_polarization_count': 30, 'q': 73, 'real_poly': [1, -4, 2], 'simple_distinct': ['2.73.ae_fs'], 'simple_factors': ['2.73.ae_fsA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 30, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.5232896.2', 'splitting_polynomials': [[5182, -4, 142, 0, 1]], 'twist_count': 2, 'twists': [['2.73.e_fs', '2.5329.ku_bsso', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 30, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 81764, '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': '2.73.ae_fs', 'extension_degree': 1, 'extension_label': '2.73.ae_fs', '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': '4.0.5232896.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.73.ae_fs', 'galois_group': '4T3', 'places': [['40', '1', '0', '0'], ['31', '1', '0', '0'], ['2189/73', '70/73', '72/73', '1/73'], ['2846/73', '70/73', '72/73', '1/73']]}