Abelian variety isogeny class data - 2.97.aba_nr

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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_cyclic	boolean
  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
  noncyclic_primes	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[]
  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': 7217, 'abvar_counts': [7217, 88862921, 835300545296, 7839757122762761, 73743341275862299377, 693842029241779301983232, 6528362246625435957384122801, 61425365325049090882916341919753, 577951262715984412235420968161346832, 5437943428835568244927501642492820768841], 'abvar_counts_str': '7217 88862921 835300545296 7839757122762761 73743341275862299377 693842029241779301983232 6528362246625435957384122801 61425365325049090882916341919753 577951262715984412235420968161346832 5437943428835568244927501642492820768841 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.202933034031894, 0.327277963103946], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 72, 'curve_counts': [72, 9444, 915222, 88555524, 8587448392, 832971606654, 80798277943560, 7837433591669508, 760231058882053206, 73742412683635893604], 'curve_counts_str': '72 9444 915222 88555524 8587448392 832971606654 80798277943560 7837433591669508 760231058882053206 73742412683635893604 ', 'curves': ['y^2=20*x^6+13*x^5+58*x^4+20*x^3+58*x^2+67*x+95', 'y^2=13*x^6+93*x^5+72*x^4+9*x^3+3*x^2+70*x+14', 'y^2=19*x^6+75*x^5+57*x^4+49*x^3+57*x^2+72*x+26', 'y^2=32*x^6+5*x^5+62*x^4+62*x^3+31*x^2+35*x+55', 'y^2=74*x^6+30*x^5+2*x^4+39*x^3+96*x^2+10*x+87', 'y^2=40*x^6+27*x^5+63*x^4+45*x^3+73*x^2+63*x+57', 'y^2=83*x^6+25*x^5+58*x^4+22*x^3+57*x^2+38*x+1', 'y^2=5*x^6+37*x^5+55*x^4+9*x^3+28*x^2+24*x+88', 'y^2=13*x^6+2*x^5+47*x^4+x^3+21*x^2+21*x+96', 'y^2=96*x^6+8*x^5+90*x^4+95*x^3+37*x^2+12*x+31', 'y^2=70*x^6+21*x^5+x^4+2*x^3+58*x^2+71*x+24', 'y^2=74*x^6+6*x^5+61*x^4+94*x^3+51*x^2+22*x+64', 'y^2=25*x^6+73*x^5+51*x^4+85*x^3+58*x^2+85*x+68', 'y^2=14*x^6+96*x^5+20*x^4+94*x^3+18*x^2+3*x+34', 'y^2=34*x^6+43*x^5+45*x^4+18*x^3+32*x^2+67*x+55', 'y^2=43*x^6+83*x^5+17*x^4+93*x^3+62*x^2+39*x+33', 'y^2=13*x^6+18*x^5+9*x^4+85*x^3+58*x^2+13*x+64', 'y^2=29*x^6+16*x^5+47*x^3+22*x^2+4*x+11', 'y^2=63*x^6+64*x^5+26*x^4+39*x^3+23*x^2+14*x+10', 'y^2=11*x^6+86*x^5+12*x^4+18*x^3+85*x^2+95', 'y^2=15*x^6+18*x^5+61*x^4+46*x^3+92*x^2+28*x+1', 'y^2=13*x^6+84*x^5+40*x^4+75*x^3+81*x^2+65*x+46', 'y^2=44*x^6+34*x^5+16*x^4+4*x^3+38*x^2+29*x+67', 'y^2=85*x^6+4*x^5+8*x^4+44*x^3+94*x^2+50*x+65', 'y^2=57*x^6+69*x^5+4*x^4+23*x^3+73*x^2+11*x+8', 'y^2=47*x^6+39*x^5+74*x^4+37*x^3+71*x^2+86*x+26', 'y^2=36*x^6+78*x^5+53*x^4+54*x^3+89*x^2+18*x+57', 'y^2=21*x^6+63*x^5+73*x^4+58*x^3+23*x^2+77*x+39', 'y^2=45*x^6+91*x^5+32*x^4+50*x^3+58*x^2+52*x+3', 'y^2=33*x^6+8*x^5+66*x^4+2*x^3+69*x^2+10*x+34', 'y^2=56*x^6+69*x^5+94*x^4+71*x^3+26*x^2+90*x+35', 'y^2=35*x^6+4*x^5+75*x^4+54*x^3+5*x^2+48*x+50', 'y^2=20*x^6+86*x^5+27*x^4+19*x^3+49*x^2+47*x+86', 'y^2=41*x^6+30*x^5+58*x^4+84*x^3+59*x+48', 'y^2=89*x^6+86*x^5+83*x^4+92*x^3+54*x^2+81*x+19', 'y^2=96*x^6+20*x^5+12*x^4+95*x^3+53*x^2+40*x+9', 'y^2=68*x^6+6*x^5+76*x^4+55*x^3+27*x^2+68*x+40', 'y^2=19*x^6+63*x^5+3*x^4+18*x^3+11*x^2+85*x+69', 'y^2=56*x^6+46*x^5+90*x^4+65*x^3+26*x^2+92*x+90', 'y^2=93*x^6+20*x^5+83*x^4+76*x^3+77*x^2+38*x+38', 'y^2=83*x^6+37*x^5+9*x^4+27*x^3+51*x^2+27*x+24', 'y^2=15*x^6+92*x^5+4*x^4+25*x^3+51*x^2+42*x+74', 'y^2=56*x^6+33*x^5+36*x^4+28*x^3+82*x^2+10*x+89', 'y^2=48*x^6+47*x^5+4*x^4+90*x^3+22*x^2+19*x+76', 'y^2=91*x^6+57*x^5+66*x^4+82*x^3+57*x^2+77*x+38', 'y^2=69*x^6+50*x^5+45*x^4+95*x^3+80*x^2+10*x+72', 'y^2=58*x^6+72*x^5+76*x^4+94*x^3+28*x^2+91*x+10', 'y^2=44*x^6+54*x^5+33*x^4+11*x^3+76*x^2+92*x+64', 'y^2=15*x^6+48*x^5+21*x^4+41*x^3+x^2+89*x+68', 'y^2=33*x^6+x^5+62*x^4+60*x^3+10*x^2+23*x+90', 'y^2=40*x^6+43*x^5+96*x^4+88*x^3+22*x^2+11*x+67', 'y^2=83*x^6+26*x^5+56*x^4+54*x^3+29*x^2+47*x+73', 'y^2=9*x^6+35*x^5+10*x^4+34*x^3+8*x^2+8*x+9', 'y^2=10*x^6+33*x^5+60*x^4+29*x^3+46*x^2+57*x+14', 'y^2=6*x^6+13*x^5+83*x^4+54*x^2+45*x+4', 'y^2=83*x^6+58*x^5+8*x^4+80*x^3+34*x^2+2*x+43', 'y^2=5*x^6+14*x^5+18*x^4+77*x^3+4*x^2+24*x+67', 'y^2=51*x^6+35*x^5+50*x^4+14*x^3+24*x^2+50*x+93', 'y^2=13*x^6+89*x^5+8*x^4+86*x^3+65*x^2+74*x+65', 'y^2=37*x^6+30*x^5+62*x^4+31*x^3+24*x^2+21*x+9', 'y^2=12*x^6+18*x^5+23*x^4+29*x^3+18*x^2+24*x+59', 'y^2=34*x^6+41*x^5+9*x^4+34*x^3+15*x^2+46*x+57', 'y^2=52*x^6+77*x^5+3*x^4+74*x^3+68*x^2+6*x+45', 'y^2=21*x^6+42*x^5+88*x^4+71*x^3+76*x^2+9*x+93', 'y^2=80*x^6+67*x^5+15*x^4+20*x^3+19*x^2+88*x+84', 'y^2=9*x^6+8*x^5+70*x^4+87*x^3+57*x^2+38*x+53', 'y^2=45*x^6+28*x^5+10*x^4+25*x^3+44*x^2+29*x+62', 'y^2=2*x^6+47*x^5+47*x^4+85*x^3+62*x^2+3*x+29', 'y^2=5*x^6+16*x^5+94*x^4+70*x^3+57*x^2+94*x+1', 'y^2=3*x^6+4*x^5+35*x^4+51*x^3+28*x^2+22*x+52', 'y^2=7*x^6+68*x^5+51*x^4+7*x^3+90*x^2+46*x+14', 'y^2=89*x^6+42*x^5+59*x^4+53*x^3+92*x^2+89*x+78', 'y^2=34*x^6+55*x^5+27*x^4+86*x^3+25*x^2+11*x+67', 'y^2=38*x^6+77*x^5+13*x^4+78*x^3+92*x^2+90*x+28', 'y^2=74*x^6+15*x^5+15*x^4+17*x^3+21*x^2+68*x+28', 'y^2=83*x^6+82*x^5+13*x^4+15*x^3+7*x^2+86*x+43', 'y^2=63*x^6+6*x^5+8*x^4+65*x^3+25*x^2+6*x+8', 'y^2=85*x^6+59*x^5+76*x^4+25*x^3+60*x^2+88*x+20', 'y^2=94*x^6+61*x^5+4*x^4+86*x^3+18*x^2+56*x+28', 'y^2=59*x^6+34*x^5+33*x^4+16*x^3+56*x^2+38*x+29', 'y^2=84*x^6+27*x^5+40*x^4+31*x^3+40*x^2+92*x+17', 'y^2=6*x^6+7*x^5+73*x^4+40*x^3+4*x^2+84*x+59', 'y^2=7*x^6+4*x^5+46*x^4+70*x^3+13*x^2+4*x+21', 'y^2=77*x^6+95*x^5+74*x^4+94*x^3+63*x^2+37*x+57', 'y^2=37*x^6+15*x^5+95*x^4+96*x^3+81*x^2+81*x+87', 'y^2=59*x^6+71*x^5+68*x^4+22*x^3+48*x^2+74*x+22', 'y^2=57*x^6+19*x^5+27*x^4+56*x^3+46*x^2+64*x+45'], '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': 2, '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': ['4.0.2503232.2'], 'geometric_splitting_field': '4.0.2503232.2', 'geometric_splitting_polynomials': [[2471, -106, 107, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 87, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 87, 'label': '2.97.aba_nr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.2503232.2'], 'p': 97, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 58]], 'poly': [1, -26, 355, -2522, 9409], 'poly_str': '1 -26 355 -2522 9409 ', 'primitive_models': [], 'principal_polarization_count': 87, 'q': 97, 'real_poly': [1, -26, 161], 'simple_distinct': ['2.97.aba_nr'], 'simple_factors': ['2.97.aba_nrA'], 'simple_multiplicities': [1], 'singular_primes': ['2,3*F^2-4*F-V+32'], 'size': 87, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.2503232.2', 'splitting_polynomials': [[2471, -106, 107, -2, 1]], 'twist_count': 2, 'twists': [['2.97.ba_nr', '2.9409.bi_ugx', 2]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 58, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 39113, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,3*F^2-4*F-V+32']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.97.aba_nr', 'extension_degree': 1, 'extension_label': '2.97.aba_nr', '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': '4.0.2503232.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.97.aba_nr', 'galois_group': '4T3', 'places': [['7', '1', '0', '0'], ['76', '1', '0', '0'], ['89', '1', '0', '0'], ['20', '1', '0', '0']]}