Abelian variety isogeny class data - 2.71.c_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': 5329, 'abvar_counts': [5329, 26863489, 127949290000, 645255659945689, 3255333229043165209, 16409854620671643040000, 82721166396920396625486649, 416997564744078290199129930729, 2102085038129037130230210635290000, 10596610595863549036484273513367896209], 'abvar_counts_str': '5329 26863489 127949290000 645255659945689 3255333229043165209 16409854620671643040000 82721166396920396625486649 416997564744078290199129930729 2102085038129037130230210635290000 10596610595863549036484273513367896209 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.518899318962046, 0.518899318962046], 'center_dim': 2, 'curve_count': 74, 'curve_counts': [74, 5324, 357488, 25392084, 1804279054, 128101625678, 9095115287794, 645753440851684, 45848501154655568, 3255243556991654204], 'curve_counts_str': '74 5324 357488 25392084 1804279054 128101625678 9095115287794 645753440851684 45848501154655568 3255243556991654204 ', 'curves': ['y^2=18*x^6+35*x^5+56*x^4+27*x^3+64*x^2+10*x+59', 'y^2=43*x^6+59*x^5+2*x^4+25*x^3+43*x^2+64*x+12', 'y^2=28*x^6+16*x^5+56*x^4+66*x^3+66*x^2+66*x+33', 'y^2=2*x^6+10*x^5+44*x^4+63*x^3+16*x^2+58*x+48', 'y^2=46*x^6+26*x^4+5*x^3+49*x^2+19*x+10', 'y^2=46*x^6+27*x^5+7*x^4+37*x^3+6*x^2+67*x+53', 'y^2=30*x^6+21*x^5+26*x^4+53*x^3+9*x^2+42*x+47', 'y^2=5*x^6+57*x^5+42*x^4+67*x^3+66*x^2+58*x+54', 'y^2=28*x^6+29*x^5+66*x^4+35*x^3+62*x^2+20*x+11', 'y^2=41*x^6+29*x^5+21*x^4+2*x^3+21*x^2+29*x+41', 'y^2=58*x^6+62*x^5+9*x^4+20*x^3+35*x^2+67*x+35', 'y^2=9*x^6+21*x^5+30*x^4+57*x^3+51*x^2+39*x+33', 'y^2=17*x^6+48*x^5+22*x^4+65*x^3+23*x^2+34*x+47', 'y^2=48*x^6+24*x^5+6*x^4+5*x^3+43*x^2+13*x+17', 'y^2=26*x^6+25*x^5+38*x^4+6*x^3+38*x^2+25*x+26', 'y^2=63*x^6+3*x^5+32*x^4+59*x^3+52*x^2+14*x+50', 'y^2=3*x^6+26*x^5+18*x^4+20*x^3+18*x^2+26*x+3', 'y^2=38*x^6+7*x^5+7*x^4+x^3+4*x^2+69*x+3', 'y^2=43*x^6+44*x^5+69*x^4+35*x^3+43*x^2+25*x+68', 'y^2=56*x^6+62*x^5+30*x^4+57*x^3+52*x^2+34*x+13', 'y^2=41*x^6+27*x^5+57*x^4+3*x^3+16*x^2+27*x+29', 'y^2=59*x^6+51*x^5+27*x^4+47*x^3+27*x^2+51*x+59', 'y^2=18*x^6+34*x^5+19*x^4+13*x^3+66*x^2+64*x+20', 'y^2=61*x^6+21*x^5+8*x^4+x^3+8*x^2+21*x+61', 'y^2=26*x^6+48*x^5+39*x^4+29*x^3+39*x^2+48*x+26', 'y^2=38*x^6+47*x^5+6*x^4+35*x^2+14*x+29', 'y^2=2*x^6+64*x^5+37*x^4+37*x^3+37*x^2+64*x+2', 'y^2=69*x^6+40*x^5+9*x^4+6*x^3+27*x^2+62*x+11', 'y^2=68*x^6+33*x^5+67*x^4+30*x^3+67*x^2+33*x+68', 'y^2=27*x^6+56*x^5+44*x^4+57*x^3+44*x^2+56*x+27', 'y^2=58*x^6+9*x^5+40*x^4+19*x^3+5*x^2+61*x+49', 'y^2=66*x^6+37*x^5+69*x^4+15*x^3+69*x^2+37*x+66', 'y^2=14*x^6+15*x^5+47*x^4+13*x^3+7*x^2+31*x+30', 'y^2=55*x^6+13*x^5+51*x^4+61*x^3+10*x^2+18*x+23', 'y^2=20*x^6+9*x^5+32*x^4+40*x^3+32*x^2+9*x+20', 'y^2=42*x^6+9*x^5+5*x^4+8*x^3+5*x^2+9*x+42', 'y^2=65*x^6+55*x^5+68*x^4+44*x^3+47*x^2+43*x+9', 'y^2=70*x^6+17*x^5+45*x^4+66*x^3+26*x^2+10*x+34', 'y^2=66*x^6+68*x^5+65*x^4+23*x^2+8*x+7'], '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.c_fn', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [73], '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.b'], 'simple_factors': ['1.71.bA', '1.71.bB'], '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.ac_fn', '2.5041.kw_bsil', 2], ['2.71.a_fl', '2.5041.kw_bsil', 2], ['2.71.ab_acs', '2.357911.aqi_brhkg', 3], ['2.71.a_afl', '2.25411681.abczu_mjiunb', 4], ['2.71.b_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.c_fn', 'extension_degree': 1, 'extension_label': '1.71.b', '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.b', 'galois_group': '2T1', 'places': [['0', '1'], ['70', '1']]}