Abelian variety isogeny class data - 2.89.y_mk

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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': 10404, 'abvar_counts': [10404, 63297936, 494903808036, 3938432011997184, 31181218851988634724, 246989639569435862360976, 1956412155843672625490303844, 15496730715064673418020271489024, 122749609552992559018657628977374756, 972299658361786434653453981703642085776], 'abvar_counts_str': '10404 63297936 494903808036 3938432011997184 31181218851988634724 246989639569435862360976 1956412155843672625490303844 15496730715064673418020271489024 122749609552992559018657628977374756 972299658361786434653453981703642085776 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.719411653754584, 0.719411653754584], 'center_dim': 2, 'curve_count': 114, 'curve_counts': [114, 7990, 702018, 62771614, 5583969714, 496979753686, 44231361329346, 3936588625313854, 350356403519534322, 31181719948276146550], 'curve_counts_str': '114 7990 702018 62771614 5583969714 496979753686 44231361329346 3936588625313854 350356403519534322 31181719948276146550 ', 'curves': ['y^2=53*x^6+4*x^5+29*x^4+70*x^3+61*x^2+25*x+73', 'y^2=73*x^6+x^5+2*x^4+74*x^3+16*x^2+37*x+60', 'y^2=77*x^6+62*x^5+25*x^4+6*x^3+50*x^2+70*x+82', 'y^2=11*x^6+11*x^5+57*x^4+26*x^3+57*x^2+11*x+11', 'y^2=85*x^6+53*x^5+2*x^4+26*x^3+87*x^2+28*x+50', 'y^2=77*x^6+22*x^5+63*x^4+11*x^3+55*x^2+24*x+58', 'y^2=79*x^6+56*x^5+80*x^4+54*x^3+54*x^2+10*x+80', 'y^2=40*x^6+46*x^5+24*x^4+73*x^3+6*x^2+44*x+46', 'y^2=81*x^6+10*x^5+14*x^4+26*x^3+37*x^2+17*x+74', 'y^2=65*x^6+62*x^5+22*x^4+41*x^3+22*x^2+62*x+65', 'y^2=78*x^6+47*x^5+51*x^4+29*x^3+51*x^2+47*x+78', 'y^2=29*x^6+29*x^5+56*x^4+87*x^3+26*x^2+52*x+75', 'y^2=34*x^6+61*x^5+39*x^4+46*x^3+16*x^2+83*x+47', 'y^2=51*x^6+10*x^5+75*x^4+38*x^3+71*x^2+36*x+20', 'y^2=47*x^6+66*x^5+84*x^4+59*x^3+37*x^2+71*x+51', 'y^2=46*x^6+75*x^5+28*x^4+64*x^3+82*x^2+77*x+41', 'y^2=73*x^6+78*x^5+8*x^4+61*x^3+45*x^2+55*x+2', 'y^2=25*x^6+7*x^5+23*x^4+13*x^3+80*x^2+51*x+66', 'y^2=13*x^6+77*x^5+71*x^4+56*x^3+51*x^2+32*x+49', 'y^2=32*x^6+4*x^5+6*x^4+79*x^3+43*x^2+67*x+44', 'y^2=65*x^6+69*x^5+41*x^4+75*x^3+82*x^2+9*x+75', 'y^2=44*x^6+22*x^5+23*x^4+77*x^3+79*x^2+6*x+68', 'y^2=73*x^6+61*x^5+28*x^4+54*x^3+28*x^2+61*x+73', 'y^2=40*x^6+28*x^5+17*x^4+57*x^3+43*x^2+25*x+10', 'y^2=36*x^6+85*x^5+31*x^4+55*x^3+32*x^2+88*x+50', 'y^2=16*x^6+33*x^4+33*x^2+16', 'y^2=85*x^6+69*x^5+63*x^4+19*x^3+33*x^2+43*x+84', 'y^2=28*x^6+3*x^5+30*x^4+40*x^3+71*x^2+65*x+57', 'y^2=88*x^6+36*x^5+80*x^4+58*x^3+29*x^2+33*x+44', 'y^2=23*x^6+8*x^5+56*x^4+69*x^3+56*x^2+8*x+23', 'y^2=16*x^6+25*x^5+11*x^4+24*x^3+2*x^2+50*x+53', 'y^2=24*x^6+12*x^5+84*x^4+77*x^3+84*x^2+12*x+24', 'y^2=74*x^6+55*x^5+23*x^4+46*x^3+50*x^2+67*x+26', 'y^2=73*x^6+15*x^5+57*x^4+34*x^3+31*x^2+77*x+36', 'y^2=68*x^6+69*x^5+9*x^4+81*x^3+9*x^2+69*x+68', 'y^2=37*x^6+51*x^5+72*x^4+85*x^3+21*x^2+78*x+53', 'y^2=9*x^6+63*x^5+67*x^4+x^3+67*x^2+63*x+9', 'y^2=40*x^5+75*x^4+36*x^3+54*x^2+72*x', 'y^2=53*x^6+79*x^5+30*x^4+73*x^3+38*x^2+69*x+69', 'y^2=67*x^6+80*x^5+61*x^4+5*x^3+61*x^2+80*x+67', 'y^2=32*x^6+4*x^5+72*x^4+26*x^3+11*x^2+43*x+66', 'y^2=21*x^6+28*x^5+2*x^4+15*x^3+2*x^2+28*x+21', 'y^2=47*x^6+4*x^5+62*x^4+47*x^3+45*x^2+8*x+49', 'y^2=x^6+41*x^5+24*x^4+50*x^3+82*x^2+33*x+25', 'y^2=18*x^6+70*x^5+80*x^4+29*x^3+80*x^2+70*x+18', 'y^2=26*x^6+87*x^5+17*x^4+86*x^3+81*x^2+67*x+12', 'y^2=73*x^6+77*x^5+18*x^4+53*x^3+28*x+22', 'y^2=5*x^6+88*x^5+48*x^4+45*x^3+35*x^2+78*x+16', 'y^2=34*x^6+x^5+86*x^4+4*x^3+58*x^2+87*x+39', 'y^2=45*x^6+50*x^5+17*x^4+5*x^3+34*x^2+22*x+4', 'y^2=88*x^6+2*x^5+46*x^4+75*x^3+86*x^2+65*x+2', 'y^2=13*x^6+48*x^4+48*x^2+13', 'y^2=74*x^6+85*x^5+36*x^4+66*x^3+81*x^2+2*x+28', 'y^2=31*x^6+18*x^5+61*x^4+66*x^3+23*x^2+67*x+19', 'y^2=22*x^6+54*x^5+5*x^4+87*x^3+81*x^2+35*x+53', 'y^2=77*x^6+71*x^5+6*x^4+32*x^3+77*x^2+26*x+20', 'y^2=81*x^6+40*x^5+49*x^4+13*x^3+49*x^2+40*x+81', 'y^2=18*x^6+60*x^5+80*x^4+67*x^3+86*x^2+36*x+1', 'y^2=14*x^6+81*x^5+57*x^4+54*x^3+68*x^2+64*x+60', 'y^2=50*x^6+53*x^5+32*x^4+56*x^3+32*x^2+53*x+50', 'y^2=67*x^6+76*x^5+76*x^4+63*x^3+57*x^2+12*x+24', 'y^2=31*x^6+68*x^5+32*x^4+7*x^3+24*x^2+21*x+20', 'y^2=33*x^6+21*x^4+21*x^2+33'], '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': ['2.0.212.1'], 'geometric_splitting_field': '2.0.212.1', 'geometric_splitting_polynomials': [[53, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 63, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 63, 'label': '2.89.y_mk', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.212.1'], 'p': 89, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 24, 322, 2136, 7921], 'poly_str': '1 24 322 2136 7921 ', 'primitive_models': [], 'q': 89, 'real_poly': [1, 24, 144], 'simple_distinct': ['1.89.m'], 'simple_factors': ['1.89.mA', '1.89.mB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.212.1', 'splitting_polynomials': [[53, 0, 1]], 'twist_count': 6, 'twists': [['2.89.ay_mk', '2.7921.cq_zdu', 2], ['2.89.a_bi', '2.7921.cq_zdu', 2], ['2.89.am_cd', '2.704969.aejo_hwelu', 3], ['2.89.a_abi', '2.62742241.brls_bcsotcw', 4], ['2.89.m_cd', '2.496981290961.adjmca_hpiclnlzy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.89.y_mk', 'extension_degree': 1, 'extension_label': '1.89.m', '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': '2.0.212.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.89.m', 'galois_group': '2T1', 'places': [['6', '1'], ['83', '1']]}