Abelian variety isogeny class data - 2.149.abp_bbn

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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': 16767, 'abvar_counts': [16767, 487366389, 10944836795763, 242957892428325477, 5393457944198254528272, 119738982753695002337857269, 2658323160347882585796052285851, 59017430187288605698767104597555013, 1310245966384431514091578150147286562951, 29088770701336856196683000839007913887433984], 'abvar_counts_str': '16767 487366389 10944836795763 242957892428325477 5393457944198254528272 119738982753695002337857269 2658323160347882585796052285851 59017430187288605698767104597555013 1310245966384431514091578150147286562951 29088770701336856196683000839007913887433984 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.133324076277397, 0.222309508152832], 'center_dim': 4, 'curve_count': 109, 'curve_counts': [109, 21951, 3308647, 492930779, 73440555734, 10942535236815, 1630436526216719, 242935032956872915, 36197319877324010581, 5393400662024628329286], 'curve_counts_str': '109 21951 3308647 492930779 73440555734 10942535236815 1630436526216719 242935032956872915 36197319877324010581 5393400662024628329286 ', 'curves': ['y^2=39*x^6+115*x^5+107*x^4+92*x^3+71*x^2+88*x+12', 'y^2=112*x^6+52*x^5+17*x^4+137*x^3+141*x^2+55*x+26', 'y^2=101*x^6+29*x^5+17*x^4+55*x^3+57*x^2+92*x+78', 'y^2=143*x^6+113*x^5+63*x^4+80*x^3+103*x^2+137*x+68', 'y^2=72*x^6+37*x^5+11*x^4+113*x^3+114*x^2+55*x+100', 'y^2=17*x^6+118*x^5+52*x^4+82*x^3+80*x^2+145*x+100', 'y^2=66*x^6+41*x^5+101*x^4+35*x^3+13*x^2+31*x+46', 'y^2=8*x^6+28*x^5+54*x^4+41*x^3+103*x^2+62*x+10', 'y^2=34*x^6+21*x^5+53*x^4+70*x^3+125*x^2+55*x+51', 'y^2=20*x^6+46*x^5+63*x^4+71*x^3+115*x^2+92*x+92', 'y^2=133*x^6+97*x^5+16*x^4+9*x^3+32*x^2+107*x+10', 'y^2=135*x^6+47*x^5+84*x^4+121*x^3+115*x^2+70*x+56', 'y^2=47*x^6+x^4+51*x^3+100*x^2+28*x+28', 'y^2=13*x^6+135*x^5+7*x^4+70*x^3+122*x^2+38*x+75', 'y^2=2*x^6+98*x^5+97*x^4+136*x^3+122*x^2+112*x+17', 'y^2=51*x^6+78*x^5+58*x^4+61*x^3+41*x^2+66*x+65', 'y^2=147*x^6+104*x^5+58*x^4+22*x^3+129*x^2+135*x+140', 'y^2=11*x^6+132*x^5+85*x^4+120*x^3+7*x^2+66*x+131', 'y^2=57*x^6+120*x^5+139*x^4+147*x^3+25*x^2+21*x+37', 'y^2=31*x^6+5*x^5+107*x^4+114*x^3+48*x^2+36*x+110', 'y^2=9*x^6+107*x^5+11*x^4+8*x^3+94*x^2+115*x+59', 'y^2=2*x^6+45*x^5+143*x^4+119*x^3+32*x^2+36*x+23'], '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': ['4.0.4105517.1'], 'geometric_splitting_field': '4.0.4105517.1', 'geometric_splitting_polynomials': [[1611, -109, 85, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 22, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 22, 'label': '2.149.abp_bbn', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.4105517.1'], 'p': 149, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -41, 715, -6109, 22201], 'poly_str': '1 -41 715 -6109 22201 ', 'primitive_models': [], 'q': 149, 'real_poly': [1, -41, 417], 'simple_distinct': ['2.149.abp_bbn'], 'simple_factors': ['2.149.abp_bbnA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.4105517.1', 'splitting_polynomials': [[1611, -109, 85, -1, 1]], 'twist_count': 2, 'twists': [['2.149.bp_bbn', '2.22201.ajr_dcxl', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.149.abp_bbn', 'extension_degree': 1, 'extension_label': '2.149.abp_bbn', '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': '4.0.4105517.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.149.abp_bbn', 'galois_group': '4T3', 'places': [['20142/149', '195/149', '22190/149', '1/149'], ['10', '1', '0', '0']]}