Abelian variety isogeny class data - 2.53.au_hi

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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': 1920, 'abvar_counts': [1920, 7833600, 22197029760, 62245785600000, 174869865425481600, 491254084431817574400, 1379947627050633654023040, 3876270599518175541657600000, 10888440305242837468070608836480, 30585627362223611664585764394240000], 'abvar_counts_str': '1920 7833600 22197029760 62245785600000 174869865425481600 491254084431817574400 1379947627050633654023040 3876270599518175541657600000 10888440305242837468070608836480 30585627362223611664585764394240000 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0885855327829047, 0.364801829573176], 'center_dim': 4, 'cohen_macaulay_max': 3, 'curve_count': 34, 'curve_counts': [34, 2790, 149098, 7888718, 418153394, 22164143670, 1174712301818, 62259715297438, 3299763756498754, 174887470773634950], 'curve_counts_str': '34 2790 149098 7888718 418153394 22164143670 1174712301818 62259715297438 3299763756498754 174887470773634950 ', 'curves': ['y^2=7*x^6+2*x^5+14*x^4+39*x^3+14*x^2+2*x+7', 'y^2=5*x^6+30*x^5+18*x^4+8*x^3+19*x^2+38*x+36', 'y^2=10*x^6+9*x^5+15*x^4+9*x^3+26*x^2+50*x+19', 'y^2=3*x^6+39*x^5+38*x^3+20*x+8', 'y^2=19*x^6+37*x^5+35*x^3+38*x+33', 'y^2=14*x^6+52*x^5+11*x^4+8*x^3+11*x^2+3*x+27', 'y^2=39*x^6+30*x^5+15*x^4+49*x^3+8*x^2+x+31', 'y^2=23*x^6+11*x^5+49*x^4+x^3+48*x^2+38*x+26', 'y^2=48*x^6+30*x^5+18*x^4+32*x^3+26*x^2+45*x+18', 'y^2=51*x^6+22*x^5+37*x^4+34*x^3+16*x+23', 'y^2=8*x^6+15*x^5+40*x^4+17*x^3+50*x^2+6*x+12', 'y^2=23*x^6+6*x^5+11*x^4+33*x^3+12*x^2+10*x+50', 'y^2=18*x^6+12*x^5+33*x^4+14*x^3+16*x^2+20*x+32', 'y^2=50*x^6+4*x^5+37*x^4+4*x^3+13*x^2+2*x+19', 'y^2=3*x^6+42*x^5+18*x^4+27*x^3+29*x^2+48*x+41', 'y^2=21*x^6+23*x^5+11*x^4+35*x^3+18*x^2+4*x+20', 'y^2=21*x^6+51*x^5+13*x^4+38*x^3+52*x^2+24*x+30', 'y^2=2*x^6+6*x^5+13*x^4+38*x^3+13*x^2+6*x+2', 'y^2=49*x^6+50*x^5+44*x^4+44*x^3+6*x^2+34*x+11', 'y^2=3*x^6+6*x^5+15*x^4+18*x^3+x^2+29*x+31', 'y^2=33*x^6+33*x^5+24*x^4+49*x^3+22*x^2+29*x+43', 'y^2=27*x^5+43*x^4+21*x^3+17*x^2+51*x', 'y^2=32*x^6+32*x^5+42*x^4+49*x^3+43*x^2+19*x+51', 'y^2=31*x^6+11*x^5+34*x^4+2*x^3+12*x^2+43*x+32', 'y^2=33*x^6+45*x^5+38*x^4+37*x^3+13*x^2+2*x+31', 'y^2=30*x^6+11*x^5+x^4+7*x^3+x^2+11*x+30', 'y^2=23*x^6+28*x^5+11*x^4+39*x^3+52*x^2+9*x+20', 'y^2=43*x^6+5*x^5+34*x^4+4*x^3+30*x+35', 'y^2=24*x^6+39*x^5+21*x^4+3*x^3+38*x^2+9*x+45', 'y^2=28*x^6+17*x^5+x^4+38*x^3+x^2+17*x+28', 'y^2=17*x^6+39*x^5+8*x^4+21*x^3+51*x^2+19*x+37', 'y^2=51*x^6+48*x^5+48*x^4+x^3+7*x^2+36*x+45', 'y^2=2*x^6+23*x^5+2*x^4+33*x^3+52*x^2+9*x+32', 'y^2=39*x^6+2*x^5+5*x^4+x^3+20*x^2+32*x+5', 'y^2=12*x^6+14*x^5+2*x^4+36*x^3+24*x^2+x+47', 'y^2=36*x^5+8*x^4+x^3+5*x^2+35*x+39', 'y^2=34*x^6+22*x^5+21*x^4+6*x^3+25*x^2+48*x+17', 'y^2=20*x^6+32*x^5+38*x^4+26*x^3+38*x^2+32*x+20', 'y^2=34*x^6+48*x^5+29*x^4+48*x^3+5*x^2+52*x+41', 'y^2=44*x^6+46*x^5+20*x^4+6*x^3+28*x^2+23', 'y^2=14*x^6+37*x^5+20*x^4+39*x^3+10*x^2+47*x+26', 'y^2=15*x^6+6*x^5+36*x^4+45*x^3+x^2+14*x+8', 'y^2=48*x^6+17*x^5+6*x^4+13*x^3+11*x^2+10*x+35', 'y^2=38*x^6+9*x^4+40*x^3+9*x^2+38', 'y^2=3*x^6+52*x^5+21*x^4+37*x^3+10*x^2+23*x+41', 'y^2=35*x^6+51*x^5+9*x^4+31*x^3+21*x^2+51*x+22', 'y^2=32*x^6+39*x^5+46*x^4+15*x^3+21*x^2+51*x+3', 'y^2=22*x^6+2*x^5+9*x^4+44*x^3+49*x^2+39*x+39', 'y^2=37*x^6+23*x^5+36*x^4+40*x^3+52*x^2+52*x+48', 'y^2=2*x^6+40*x^5+15*x^4+12*x^3+44*x^2+36*x+17', 'y^2=51*x^6+5*x^5+x^4+39*x^3+37*x^2+52*x+18', 'y^2=35*x^6+40*x^5+52*x^4+30*x^3+35*x^2+16*x+19', 'y^2=11*x^6+52*x^5+14*x^4+15*x^3+4*x^2+15*x+26', 'y^2=11*x^6+19*x^5+49*x^4+47*x^3+41*x^2+47*x+3', 'y^2=31*x^6+20*x^5+45*x^4+34*x^3+52*x^2+18*x', 'y^2=45*x^5+12*x^4+28*x^3+12*x^2+45*x', 'y^2=35*x^6+15*x^5+9*x^4+x^3+10*x^2+18*x+15', 'y^2=43*x^6+22*x^5+32*x^3+25*x^2+51*x+39', 'y^2=34*x^6+37*x^5+16*x^4+39*x^3+28*x^2+19*x+25', 'y^2=6*x^6+16*x^5+12*x^4+23*x^3+46*x^2+37*x+8', 'y^2=16*x^6+39*x^5+4*x^4+9*x^3+4*x^2+39*x+16', 'y^2=24*x^6+20*x^5+4*x^4+7*x^3+4*x^2+20*x+24', 'y^2=36*x^6+51*x^5+34*x^4+31*x^3+10*x^2+5*x+23', 'y^2=27*x^5+22*x^4+48*x^3+21*x^2+36*x+3', 'y^2=50*x^6+6*x^5+36*x^4+35*x^3+32*x^2+2*x+39', 'y^2=30*x^6+3*x^5+37*x^4+48*x^3+37*x^2+3*x+30', 'y^2=35*x^6+38*x^5+51*x^4+6*x^3+2*x^2+52*x+34', 'y^2=5*x^6+35*x^5+27*x^4+15*x^3+33*x^2+51*x+14', 'y^2=47*x^6+28*x^5+47*x^4+21*x^3+44*x^2+10*x+46', 'y^2=x^6+28*x^5+39*x^4+18*x^3+26*x^2+36*x+16', 'y^2=22*x^6+23*x^5+37*x^4+50*x^3+45*x^2+36*x', 'y^2=20*x^6+32*x^5+38*x^4+24*x^3+38*x^2+32*x+20'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 24, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.4.1', '2.0.11.1'], 'geometric_splitting_field': '4.0.1936.1', 'geometric_splitting_polynomials': [[9, 0, -5, 0, 1]], 'group_structure_count': 11, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 72, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 72, 'label': '2.53.au_hi', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.4.1', '2.0.11.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -20, 190, -1060, 2809], 'poly_str': '1 -20 190 -1060 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, -20, 84], 'simple_distinct': ['1.53.ao', '1.53.ag'], 'simple_factors': ['1.53.aoA', '1.53.agA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,-V+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1936.1', 'splitting_polynomials': [[9, 0, -5, 0, 1]], 'twist_count': 8, 'twists': [['2.53.ai_w', '2.2809.au_abag', 2], ['2.53.i_w', '2.2809.au_abag', 2], ['2.53.u_hi', '2.2809.au_abag', 2], ['2.53.ak_fa', '2.7890481.acpw_beqmks', 4], ['2.53.ac_de', '2.7890481.acpw_beqmks', 4], ['2.53.c_de', '2.7890481.acpw_beqmks', 4], ['2.53.k_fa', '2.7890481.acpw_beqmks', 4]], 'weak_equivalence_count': 48, 'zfv_index': 512, 'zfv_index_factorization': [[2, 9]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2816, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-V+3']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 46979
    {'base_label': '2.53.au_hi', 'extension_degree': 1, 'extension_label': '1.53.ao', 'multiplicity': 1}
  • id: 46980
    {'base_label': '2.53.au_hi', 'extension_degree': 1, 'extension_label': '1.53.ag', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.ao', 'galois_group': '2T1', 'places': [['23', '1'], ['30', '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': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.ag', 'galois_group': '2T1', 'places': [['12', '1'], ['40', '1']]}