Abelian variety isogeny class data - 2.83.al_bm

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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': 6004, 'abvar_counts': [6004, 47143408, 325333344400, 2251734545155264, 15516090102366802204, 106889459205999108870400, 736364984934717395692359916, 5072820396289751063210535039744, 34946658898883802650464866189984400, 240747534003224859742635592267469116528], 'abvar_counts_str': '6004 47143408 325333344400 2251734545155264 15516090102366802204 106889459205999108870400 736364984934717395692359916 5072820396289751063210535039744 34946658898883802650464866189984400 240747534003224859742635592267469116528 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0396422182657847, 0.627024448400882], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 73, 'curve_counts': [73, 6845, 568972, 47446569, 3939053063, 326938695590, 27136040731061, 2252292275355409, 186940254515378356, 15516041179482003725], 'curve_counts_str': '73 6845 568972 47446569 3939053063 326938695590 27136040731061 2252292275355409 186940254515378356 15516041179482003725 ', 'curves': ['y^2=17*x^6+16*x^5+24*x^4+8*x^3+74*x^2+37*x+58', 'y^2=66*x^6+79*x^5+38*x^4+43*x^3+8*x^2+16*x+35', 'y^2=78*x^6+41*x^5+48*x^4+20*x^3+29*x^2+48*x+68', 'y^2=72*x^6+5*x^5+58*x^4+73*x^3+6*x^2+15*x+70', 'y^2=14*x^6+25*x^5+39*x^4+49*x^3+40*x^2+76*x+62', 'y^2=13*x^6+78*x^5+68*x^4+57*x^3+53*x^2+25*x+15', 'y^2=66*x^6+67*x^5+72*x^4+x^3+75*x^2+35*x+34', 'y^2=24*x^6+71*x^5+52*x^4+55*x^3+57*x^2+45*x+76', 'y^2=60*x^6+6*x^5+47*x^4+73*x^3+29*x^2+5*x+55', 'y^2=73*x^6+82*x^5+67*x^4+64*x^3+30*x^2+2*x+15', 'y^2=82*x^6+40*x^5+9*x^4+32*x^3+23*x^2+69*x+26', 'y^2=19*x^6+35*x^5+47*x^4+2*x^3+81*x^2+69*x+5', 'y^2=59*x^6+23*x^5+64*x^4+62*x^3+52*x^2+79*x+67', 'y^2=32*x^6+28*x^5+68*x^4+34*x^3+33*x^2+11*x+5', 'y^2=55*x^6+51*x^5+38*x^4+27*x^3+44*x^2+64*x+61', 'y^2=60*x^6+8*x^5+54*x^3+5*x^2+46*x+67', 'y^2=50*x^5+25*x^4+70*x^3+81*x^2+49*x+79', 'y^2=27*x^6+46*x^5+47*x^4+71*x^3+5*x^2+2*x+27', 'y^2=76*x^6+32*x^5+26*x^4+74*x^3+3*x^2+76*x+68', 'y^2=82*x^6+4*x^5+5*x^4+73*x^3+78*x^2+19*x+1', 'y^2=74*x^6+13*x^5+81*x^4+68*x^3+3*x^2+9*x+19', 'y^2=56*x^6+49*x^5+48*x^4+44*x^3+21*x^2+23*x+22', 'y^2=23*x^6+7*x^5+33*x^4+16*x^3+63*x^2+74*x+4', 'y^2=15*x^6+16*x^5+14*x^4+11*x^3+22*x^2+55*x+66', 'y^2=20*x^6+79*x^5+8*x^4+40*x^3+29*x^2+16*x+60', 'y^2=81*x^6+66*x^5+57*x^4+64*x^3+72*x^2+27*x+5', 'y^2=41*x^6+14*x^5+79*x^4+58*x^3+17*x^2+59*x+45', 'y^2=44*x^6+3*x^5+47*x^4+44*x^3+71*x^2+34*x+60', 'y^2=80*x^6+57*x^5+26*x^4+5*x^3+9*x^2+13*x+15', 'y^2=49*x^6+70*x^5+68*x^4+72*x^3+40*x^2+11*x+36', 'y^2=17*x^6+69*x^5+7*x^4+51*x^3+69*x^2+13*x+79', 'y^2=42*x^6+19*x^5+14*x^4+33*x^3+41*x^2+53*x+7', 'y^2=70*x^6+25*x^5+66*x^4+45*x^3+45*x^2+28*x+74', 'y^2=11*x^6+64*x^5+79*x^4+72*x^3+43*x^2+60*x+1', 'y^2=79*x^6+41*x^5+50*x^4+52*x^3+65*x^2+57*x+1', 'y^2=34*x^6+46*x^5+78*x^4+36*x^3+35*x^2+61*x+42', 'y^2=56*x^6+2*x^5+58*x^4+12*x^3+31*x^2+71*x+38', 'y^2=6*x^6+66*x^5+76*x^4+65*x^3+56*x^2+57*x+8', 'y^2=32*x^6+24*x^5+64*x^4+63*x^3+27*x^2+69*x+23', 'y^2=75*x^6+80*x^5+70*x^4+6*x^3+25*x^2+43*x+7', 'y^2=54*x^6+10*x^5+62*x^4+21*x^3+5*x^2+20*x+33', 'y^2=76*x^6+54*x^5+14*x^4+51*x^3+14*x^2+72*x+47', 'y^2=63*x^6+33*x^5+55*x^4+37*x^3+17*x^2+29*x+80', 'y^2=3*x^6+37*x^5+66*x^4+48*x^3+58*x^2+3*x+11', 'y^2=47*x^6+69*x^5+26*x^4+35*x^3+29*x^2+8*x+5', 'y^2=71*x^6+35*x^5+61*x^4+33*x^3+13*x^2+66*x+74', 'y^2=67*x^6+16*x^5+64*x^4+65*x^3+19*x^2+75*x+67', 'y^2=66*x^6+71*x^5+12*x^4+46*x^3+54*x^2+69*x+54', 'y^2=15*x^6+74*x^5+31*x^4+2*x^3+54*x^2+69*x+65', 'y^2=55*x^6+51*x^5+55*x^4+58*x^3+76*x^2+49*x+76', 'y^2=29*x^6+2*x^5+80*x^4+4*x^3+28*x^2+24*x+29', 'y^2=62*x^6+55*x^5+6*x^4+28*x^3+39*x^2+59*x+45', 'y^2=12*x^6+32*x^5+48*x^4+69*x^3+69*x^2+66*x+22', 'y^2=18*x^6+13*x^5+49*x^4+46*x^3+57*x^2+54*x+55', 'y^2=58*x^6+35*x^5+49*x^4+49*x^3+61*x^2+55*x+12', 'y^2=70*x^6+64*x^5+23*x^4+27*x^3+43*x^2+60*x+25', 'y^2=71*x^6+34*x^5+8*x^4+4*x^3+69*x^2+81*x+79'], '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, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['4T2'], '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.211.1'], 'geometric_splitting_field': '2.0.211.1', 'geometric_splitting_polynomials': [[53, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 57, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 57, 'label': '2.83.al_bm', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.400689.1'], 'p': 83, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -11, 38, -913, 6889], 'poly_str': '1 -11 38 -913 6889 ', 'primitive_models': [], 'q': 83, 'real_poly': [1, -11, -128], 'simple_distinct': ['2.83.al_bm'], 'simple_factors': ['2.83.al_bmA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-V+5', '19,-30*F-50*V+557'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.400689.1', 'splitting_polynomials': [[2809, -53, -52, -1, 1]], 'twist_count': 6, 'twists': [['2.83.l_bm', '2.6889.abt_ahfc', 2], ['2.83.w_lb', '2.571787.aeei_gvwig', 3], ['2.83.aw_lb', '2.326940373369.adrlya_gnauhyqdy', 6], ['2.83.a_bt', '2.326940373369.adrlya_gnauhyqdy', 6], ['2.83.a_abt', '2.106890007738661124410161.amkuggxse_eyyljeyehafmswpcg', 12]], 'weak_equivalence_count': 4, 'zfv_index': 38, 'zfv_index_factorization': [[2, 1], [19, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1444, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,-V+5', '19,-30*F-50*V+557']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 106547
    {'base_label': '2.83.al_bm', 'extension_degree': 1, 'extension_label': '2.83.al_bm', 'multiplicity': 1}
  • id: 106548
    {'base_label': '2.83.al_bm', 'extension_degree': 3, 'extension_label': '1.571787.acce', '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': '4.0.400689.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.83.al_bm', 'galois_group': '4T2', 'places': [['39', '60', '73', '3'], ['18', '28', '72', '78']]}
• 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': '2.0.211.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.571787.acce', 'galois_group': '2T1', 'places': [['5', '1'], ['77', '1']]}