Abelian variety isogeny class data - 2.137.abo_zq

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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': 13916, 'abvar_counts': [13916, 347287696, 6610519275164, 124102708061889536, 2329202300344601817436, 43716642991902256801365136, 820517646479237965243109439644, 15400296157535794423126232144691200, 289048159728482839744377598010589237596, 5425144911259272541172447616969993280318096], 'abvar_counts_str': '13916 347287696 6610519275164 124102708061889536 2329202300344601817436 43716642991902256801365136 820517646479237965243109439644 15400296157535794423126232144691200 289048159728482839744377598010589237596 5425144911259272541172447616969993280318096 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0710640823628672, 0.237869879993211], 'center_dim': 4, 'curve_count': 98, 'curve_counts': [98, 18502, 2570834, 352288926, 48261895458, 6611856237478, 905824276012754, 124097929446096318, 17001416401620954338, 2329194047586806054022], 'curve_counts_str': '98 18502 2570834 352288926 48261895458 6611856237478 905824276012754 124097929446096318 17001416401620954338 2329194047586806054022 ', 'curves': ['y^2=54*x^6+49*x^5+76*x^4+86*x^3+87*x^2+112*x+60', 'y^2=102*x^6+18*x^5+134*x^4+20*x^3+43*x^2+118*x+43', 'y^2=110*x^6+128*x^5+39*x^4+41*x^3+37*x^2+84*x+134', 'y^2=118*x^6+95*x^5+27*x^4+60*x^3+125*x^2+46*x+128', 'y^2=20*x^6+103*x^5+101*x^4+86*x^3+35*x^2+60*x+26', 'y^2=126*x^6+50*x^5+67*x^4+55*x^3+127*x^2+99*x+17', 'y^2=130*x^6+93*x^5+130*x^4+131*x^3+111*x^2+10*x+5', 'y^2=83*x^6+33*x^5+118*x^4+135*x^3+x^2+96*x+133', 'y^2=42*x^6+48*x^5+5*x^4+98*x^3+99*x^2+59*x+106', 'y^2=17*x^6+62*x^5+118*x^4+63*x^3+80*x^2+54*x+118', 'y^2=51*x^6+113*x^5+43*x^4+20*x^3+9*x^2+7*x+120', 'y^2=49*x^6+85*x^5+35*x^4+44*x^3+132*x^2+127*x+66', 'y^2=126*x^6+71*x^5+48*x^4+64*x^3+12*x^2+111*x+134', 'y^2=54*x^6+63*x^5+45*x^4+35*x^3+109*x^2+112*x+27', 'y^2=82*x^6+37*x^5+20*x^4+74*x^3+27*x^2+x+27', 'y^2=132*x^6+102*x^5+39*x^4+14*x^3+36*x^2+54*x+57', 'y^2=44*x^6+70*x^5+66*x^4+60*x^3+129*x^2+53*x+79', 'y^2=26*x^6+50*x^5+111*x^4+22*x^3+105*x^2+114*x+77', 'y^2=119*x^6+13*x^5+89*x^4+38*x^3+15*x^2+51*x+80', 'y^2=117*x^6+58*x^5+74*x^4+98*x^3+87*x^2+23*x+87', 'y^2=21*x^6+131*x^5+111*x^4+136*x^3+7*x^2+72*x+13', 'y^2=134*x^6+46*x^5+111*x^4+33*x^3+8*x^2+123*x+80', 'y^2=13*x^6+105*x^5+73*x^4+81*x^3+84*x^2+76*x+52', 'y^2=72*x^6+101*x^5+74*x^4+78*x^3+106*x^2+67*x+104', 'y^2=20*x^6+122*x^5+105*x^4+14*x^3+35*x^2+16*x+99', 'y^2=134*x^6+22*x^5+81*x^4+31*x^3+33*x^2+99*x+86', 'y^2=77*x^6+3*x^5+120*x^4+48*x^3+54*x^2+124*x+12', 'y^2=78*x^6+21*x^5+6*x^4+27*x^3+6*x^2+61*x+85', 'y^2=64*x^6+126*x^5+26*x^4+94*x^3+119*x^2+74*x+40', 'y^2=102*x^6+52*x^5+105*x^4+71*x^3+75*x^2+24*x+124', 'y^2=52*x^6+49*x^5+60*x^4+52*x^3+82*x^2+46*x+106', 'y^2=57*x^6+82*x^5+125*x^4+71*x^3+87*x^2+98*x+127', 'y^2=40*x^6+4*x^5+47*x^4+13*x^3+64*x^2+32*x+127', 'y^2=24*x^6+111*x^5+30*x^4+115*x^3+132*x^2+38*x+3', 'y^2=94*x^6+85*x^5+108*x^4+11*x^3+58*x^2+62*x+102', 'y^2=98*x^6+23*x^5+81*x^4+63*x^3+134*x^2+115*x+71', 'y^2=23*x^6+45*x^5+111*x^4+31*x^3+127*x^2+102*x+97', 'y^2=16*x^6+132*x^5+135*x^4+108*x^3+113*x^2+68*x+68', 'y^2=73*x^6+85*x^5+98*x^4+28*x^3+98*x^2+13*x+60', 'y^2=54*x^6+18*x^5+49*x^4+129*x^3+124*x^2+69*x+58', 'y^2=6*x^6+2*x^5+61*x^4+103*x^3+111*x^2+5*x+38', 'y^2=81*x^6+86*x^5+84*x^4+94*x^3+48*x^2+121*x+73', 'y^2=95*x^6+20*x^5+104*x^4+63*x^3+55*x^2+40*x+117', 'y^2=83*x^6+49*x^5+55*x^4+84*x^3+54*x^2+114*x+10'], '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': ['4.0.27200.2'], 'geometric_splitting_field': '4.0.27200.2', 'geometric_splitting_polynomials': [[31, -2, 13, -2, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 44, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 44, 'label': '2.137.abo_zq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.27200.2'], 'p': 137, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -40, 666, -5480, 18769], 'poly_str': '1 -40 666 -5480 18769 ', 'primitive_models': [], 'q': 137, 'real_poly': [1, -40, 392], 'simple_distinct': ['2.137.abo_zq'], 'simple_factors': ['2.137.abo_zqA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.27200.2', 'splitting_polynomials': [[31, -2, 13, -2, 1]], 'twist_count': 2, 'twists': [['2.137.bo_zq', '2.18769.aki_clec', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.137.abo_zq', 'extension_degree': 1, 'extension_label': '2.137.abo_zq', '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', '0', '0'], 'center': '4.0.27200.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.137.abo_zq', 'galois_group': '4T3', 'places': [['92', '1', '0', '0'], ['56', '1', '0', '0'], ['13', '1', '0', '0'], ['111', '1', '0', '0']]}