Abelian variety isogeny class data - 2.59.ay_ju

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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': 2296, 'abvar_counts': [2296, 11884096, 42224764792, 146859475166208, 511109531095036216, 1779184404952355028544, 6193380745008254766252088, 21559177845255603048829304832, 75047498529247387548288671477368, 261240336872824359745561284604949056], 'abvar_counts_str': '2296 11884096 42224764792 146859475166208 511109531095036216 1779184404952355028544 6193380745008254766252088 21559177845255603048829304832 75047498529247387548288671477368 261240336872824359745561284604949056 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0841624533376602, 0.296351869070539], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 36, 'curve_counts': [36, 3414, 205596, 12119758, 714914196, 42180225126, 2488649287692, 146830440588574, 8662996046660868, 511116755977594614], 'curve_counts_str': '36 3414 205596 12119758 714914196 42180225126 2488649287692 146830440588574 8662996046660868 511116755977594614 ', 'curves': ['y^2=31*x^6+45*x^5+27*x^4+46*x^3+15*x^2+25*x+40', 'y^2=6*x^6+8*x^5+42*x^4+48*x^3+12*x^2+40*x', 'y^2=38*x^6+21*x^5+17*x^4+15*x^3+4*x^2+57*x+34', 'y^2=37*x^6+25*x^5+2*x^4+58*x^3+38*x^2+40', 'y^2=47*x^6+6*x^5+33*x^4+18*x^2+8*x+1', 'y^2=22*x^6+7*x^5+31*x^4+14*x^3+20*x^2+4*x+30', 'y^2=6*x^6+9*x^5+55*x^4+25*x^3+24*x^2+33*x+43', 'y^2=11*x^6+45*x^5+54*x^4+48*x^3+20*x^2+20*x+12', 'y^2=x^6+x^5+49*x^4+x^3+40*x^2+31*x+57', 'y^2=11*x^6+34*x^5+5*x^4+52*x^3+31*x^2+9*x+58', 'y^2=21*x^6+9*x^5+18*x^4+7*x^3+9*x^2+x+31', 'y^2=11*x^6+5*x^5+39*x^4+4*x^3+45*x^2+48*x+56', 'y^2=52*x^6+15*x^5+9*x^4+58*x^3+47*x^2+46*x+2', 'y^2=39*x^6+40*x^5+16*x^4+7*x^3+49*x^2+21*x+36', 'y^2=55*x^6+41*x^5+17*x^4+38*x^3+22*x^2+2*x+25', 'y^2=29*x^6+33*x^5+22*x^4+52*x^3+45*x^2+9*x+29', 'y^2=17*x^6+x^5+51*x^4+16*x^3+52*x^2+55*x+45', 'y^2=23*x^6+55*x^5+24*x^4+3*x^3+29*x^2+47*x+40', 'y^2=6*x^6+11*x^5+51*x^4+40*x^3+11*x^2+12*x+1', 'y^2=2*x^6+28*x^5+43*x^4+9*x^3+21*x^2+39*x+3', 'y^2=39*x^6+7*x^5+51*x^4+50*x^3+45*x^2+54*x+24', 'y^2=44*x^6+49*x^5+3*x^4+25*x^3+36*x^2+26*x+10', 'y^2=52*x^6+11*x^5+13*x^4+36*x^3+16*x^2+6*x+13', 'y^2=34*x^6+12*x^5+22*x^4+42*x^3+44*x^2+37*x+2', 'y^2=23*x^6+10*x^5+20*x^4+22*x^3+53*x^2+54*x+48', 'y^2=20*x^6+20*x^5+18*x^4+51*x^3+2*x^2+49*x+54', 'y^2=56*x^6+17*x^5+x^4+18*x^3+43*x^2+32*x+11', 'y^2=10*x^6+51*x^5+20*x^4+10*x^3+2*x^2+9*x+56'], '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': ['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': ['4.0.39168.3'], 'geometric_splitting_field': '4.0.39168.3', 'geometric_splitting_polynomials': [[46, -12, 14, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 28, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 28, 'label': '2.59.ay_ju', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.39168.3'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -24, 254, -1416, 3481], 'poly_str': '1 -24 254 -1416 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -24, 136], 'simple_distinct': ['2.59.ay_ju'], 'simple_factors': ['2.59.ay_juA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F+1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.39168.3', 'splitting_polynomials': [[46, -12, 14, 0, 1]], 'twist_count': 2, 'twists': [['2.59.y_ju', '2.3481.acq_ffa', 2]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 2448, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F+1']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.59.ay_ju', 'extension_degree': 1, 'extension_label': '2.59.ay_ju', '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': '4.0.39168.3', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.ay_ju', 'galois_group': '4T3', 'places': [['45', '55', '40', '26'], ['43', '44', '16', '34']]}