Abelian variety isogeny class data - 2.103.abh_rz

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  angle_rank	smallint
  angles	double precision[]
  center_dim	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
  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[]
  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
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	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[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric

  
  {'abvar_count': 7645, 'abvar_counts': [7645, 110921305, 1194159634195, 12668367167178525, 134391318128448898000, 1425758863390322795773945, 15125894301341818228513906495, 160470641933740767166668265605525, 1702433061991068252656999843053453945, 18061112350507582164805566859424583712000], 'abvar_counts_str': '7645 110921305 1194159634195 12668367167178525 134391318128448898000 1425758863390322795773945 15125894301341818228513906495 160470641933740767166668265605525 1702433061991068252656999843053453945 18061112350507582164805566859424583712000 ', 'angle_rank': 2, 'angles': [0.06667616237505, 0.275751116212416], 'center_dim': 4, 'curve_count': 71, 'curve_counts': [71, 10455, 1092827, 112556803, 11592713156, 1194050601915, 122987362578977, 12667700657878003, 1304773184404949681, 134391637962787797150], 'curve_counts_str': '71 10455 1092827 112556803 11592713156 1194050601915 122987362578977 12667700657878003 1304773184404949681 134391637962787797150 ', 'curves': ['y^2=15*x^6+80*x^5+29*x^4+9*x^3+4*x^2+60*x+101', 'y^2=91*x^6+56*x^5+58*x^4+85*x^3+96*x^2+30*x+91', 'y^2=54*x^6+21*x^5+34*x^4+63*x^3+58*x^2+57*x+6', 'y^2=40*x^6+46*x^5+98*x^4+90*x^3+3*x^2+31*x+10', 'y^2=72*x^6+11*x^5+47*x^4+9*x^3+67*x^2+58*x+12', 'y^2=36*x^6+72*x^5+73*x^4+72*x^3+20*x^2+26*x+42', 'y^2=21*x^6+40*x^5+13*x^4+69*x^3+15*x^2+43*x+18', 'y^2=22*x^6+33*x^5+90*x^4+77*x^3+25*x^2+45*x+10', 'y^2=81*x^6+48*x^5+45*x^4+11*x^3+55*x^2+67*x+59', 'y^2=75*x^6+89*x^4+39*x^3+77*x^2+89*x+17', 'y^2=22*x^6+90*x^5+55*x^4+48*x^3+16*x^2+96*x+36', 'y^2=2*x^6+18*x^5+100*x^4+81*x^3+9*x^2+44*x+7', 'y^2=20*x^6+41*x^5+98*x^4+45*x^3+59*x^2+102*x+28', 'y^2=22*x^6+75*x^5+28*x^4+23*x^3+11*x^2+39*x+94', 'y^2=46*x^6+55*x^5+27*x^4+69*x^3+25*x^2+52*x+65', 'y^2=53*x^6+81*x^5+11*x^4+26*x^3+78*x^2+94*x+75', 'y^2=74*x^6+16*x^5+50*x^4+92*x^3+97*x^2+41*x+86', 'y^2=20*x^6+53*x^5+94*x^4+86*x^3+59*x^2+30*x+69', 'y^2=78*x^6+73*x^5+75*x^4+51*x^3+5*x^2+5*x+4', 'y^2=96*x^6+68*x^5+33*x^4+70*x^3+84*x^2+58*x+51', 'y^2=94*x^6+5*x^5+38*x^4+37*x^3+62*x^2+66*x+80', 'y^2=65*x^6+46*x^5+64*x^4+70*x^3+14*x^2+51*x+37', 'y^2=100*x^6+81*x^5+8*x^4+2*x^3+102*x^2+52*x+13', 'y^2=43*x^6+36*x^5+48*x^4+27*x^3+76*x^2+x+46', 'y^2=45*x^6+57*x^5+7*x^4+39*x^3+20*x^2+77*x+4', 'y^2=4*x^6+12*x^5+18*x^4+19*x^3+62*x^2+95*x+11', 'y^2=x^6+83*x^5+12*x^4+39*x^3+66*x^2+59*x+26'], '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, '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': ['4.0.106525.1'], 'geometric_splitting_field': '4.0.106525.1', 'geometric_splitting_polynomials': [[275, -35, 36, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 27, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'jacobian_count': 27, 'label': '2.103.abh_rz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'number_fields': ['4.0.106525.1'], 'p': 103, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 18]], 'poly': [1, -33, 467, -3399, 10609], 'poly_str': '1 -33 467 -3399 10609 ', 'primitive_models': [], 'principal_polarization_count': 27, 'q': 103, 'real_poly': [1, -33, 261], 'simple_distinct': ['2.103.abh_rz'], 'simple_factors': ['2.103.abh_rzA'], 'simple_multiplicities': [1], 'size': 27, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.106525.1', 'splitting_polynomials': [[275, -35, 36, -2, 1]], 'twist_count': 2, 'twists': [['2.103.bh_rz', '2.10609.afz_wdx', 2]], 'zfv_index': 9, 'zfv_index_factorization': [[3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 3, 'zfv_plus_index_factorization': [[3, 1]], 'zfv_plus_norm': 4261}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.103.abh_rz', 'extension_degree': 1, 'extension_label': '2.103.abh_rz', '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'], 'center': '4.0.106525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.103.abh_rz', 'galois_group': '4T3', 'places': [['16', '14', '94', '0'], ['82', '99', '9', '0']]}