Abelian variety isogeny class data - 2.71.ac_fn

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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': 5041, 'abvar_counts': [5041, 26863489, 128252799376, 645255659945689, 3255153881428659001, 16409854620671643040000, 82721254994268503073003481, 416997564744078290199129930729, 2102084998130205771853883552743696, 10596610595863549036484273513367896209], 'abvar_counts_str': '5041 26863489 128252799376 645255659945689 3255153881428659001 16409854620671643040000 82721254994268503073003481 416997564744078290199129930729 2102084998130205771853883552743696 10596610595863549036484273513367896209 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.481100681037954, 0.481100681037954], 'center_dim': 2, 'curve_count': 70, 'curve_counts': [70, 5324, 358336, 25392084, 1804179650, 128101625678, 9095125028990, 645753440851684, 45848500282242496, 3255243556991654204], 'curve_counts_str': '70 5324 358336 25392084 1804179650 128101625678 9095125028990 645753440851684 45848500282242496 3255243556991654204 ', 'curves': ['y^2=55*x^6+32*x^5+37*x^4+47*x^3+22*x^2+70*x+58', 'y^2=17*x^6+58*x^5+14*x^4+33*x^3+17*x^2+22*x+13', 'y^2=54*x^6+41*x^5+37*x^4+36*x^3+36*x^2+36*x+18', 'y^2=51*x^6+42*x^5+57*x^4+9*x^3+53*x^2+59*x+17', 'y^2=38*x^6+40*x^4+35*x^3+59*x^2+62*x+70', 'y^2=38*x^6+47*x^5+49*x^4+46*x^3+42*x^2+43*x+16', 'y^2=55*x^6+3*x^5+24*x^4+38*x^3+52*x^2+6*x+27', 'y^2=35*x^6+44*x^5+10*x^4+43*x^3+36*x^2+51*x+23', 'y^2=54*x^6+61*x^5+36*x^4+32*x^3+8*x^2+69*x+6', 'y^2=16*x^6+65*x^5+3*x^4+51*x^3+3*x^2+65*x+16', 'y^2=51*x^6+8*x^5+63*x^4+69*x^3+32*x^2+43*x+32', 'y^2=63*x^6+5*x^5+68*x^4+44*x^3+2*x^2+60*x+18', 'y^2=48*x^6+52*x^5+12*x^4+29*x^3+19*x^2+25*x+45', 'y^2=17*x^6+44*x^5+11*x^4+21*x^3+67*x^2+12*x+43', 'y^2=24*x^6+34*x^5+46*x^4+11*x^3+46*x^2+34*x+24', 'y^2=9*x^6+41*x^5+35*x^4+49*x^3+48*x^2+2*x+68', 'y^2=21*x^6+40*x^5+55*x^4+69*x^3+55*x^2+40*x+21', 'y^2=53*x^6+49*x^5+49*x^4+7*x^3+28*x^2+57*x+21', 'y^2=67*x^6+57*x^5+20*x^4+5*x^3+67*x^2+34*x+30', 'y^2=8*x^6+19*x^5+55*x^4+69*x^3+48*x^2+15*x+12', 'y^2=16*x^6+14*x^5+69*x^4+41*x^3+53*x^2+14*x+65', 'y^2=58*x^6+2*x^5+47*x^4+45*x^3+47*x^2+2*x+58', 'y^2=33*x^6+15*x^5+23*x^4+12*x^3+50*x^2+70*x+13', 'y^2=29*x^6+3*x^5+62*x^4+61*x^3+62*x^2+3*x+29', 'y^2=24*x^6+17*x^5+36*x^4+65*x^3+36*x^2+17*x+24', 'y^2=46*x^6+27*x^5+11*x^4+5*x^2+2*x+65', 'y^2=14*x^6+22*x^5+46*x^4+46*x^3+46*x^2+22*x+14', 'y^2=57*x^6+67*x^5+63*x^4+42*x^3+47*x^2+8*x+6', 'y^2=30*x^6+25*x^5+40*x^4+55*x^3+40*x^2+25*x+30', 'y^2=47*x^6+37*x^5+24*x^4+44*x^3+24*x^2+37*x+47', 'y^2=59*x^6+52*x^5+26*x^4+23*x^3+21*x^2+29*x+7', 'y^2=36*x^6+46*x^5+57*x^4+34*x^3+57*x^2+46*x+36', 'y^2=27*x^6+34*x^5+45*x^4+20*x^3+49*x^2+4*x+68', 'y^2=30*x^6+20*x^5+2*x^4+x^3+70*x^2+55*x+19', 'y^2=69*x^6+63*x^5+11*x^4+67*x^3+11*x^2+63*x+69', 'y^2=10*x^6+63*x^5+35*x^4+56*x^3+35*x^2+63*x+10', 'y^2=60*x^6+18*x^5+30*x^4+57*x^3+27*x^2+67*x+52', 'y^2=64*x^6+48*x^5+31*x^4+36*x^3+40*x^2+70*x+25', 'y^2=50*x^6+30*x^5+60*x^4+54*x^2+62*x+1'], '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': ['2.0.283.1'], 'geometric_splitting_field': '2.0.283.1', 'geometric_splitting_polynomials': [[71, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 39, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 39, 'label': '2.71.ac_fn', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [71], 'number_fields': ['2.0.283.1'], 'p': 71, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -2, 143, -142, 5041], 'poly_str': '1 -2 143 -142 5041 ', 'primitive_models': [], 'q': 71, 'real_poly': [1, -2, 1], 'simple_distinct': ['1.71.ab'], 'simple_factors': ['1.71.abA', '1.71.abB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.283.1', 'splitting_polynomials': [[71, -1, 1]], 'twist_count': 6, 'twists': [['2.71.a_fl', '2.5041.kw_bsil', 2], ['2.71.c_fn', '2.5041.kw_bsil', 2], ['2.71.b_acs', '2.357911.qi_brhkg', 3], ['2.71.a_afl', '2.25411681.abczu_mjiunb', 4], ['2.71.ab_acs', '2.128100283921.cyiwa_djyicylvy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.71.ac_fn', 'extension_degree': 1, 'extension_label': '1.71.ab', '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': '2.0.283.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.71.ab', 'galois_group': '2T1', 'places': [['70', '1'], ['0', '1']]}