Abelian variety isogeny class data - 2.59.a_acj

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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': 3421, 'abvar_counts': [3421, 11703241, 42180943684, 146909017083609, 511116752710854301, 1779232010072779491856, 6193386212888756260517941, 21559181439228937828826211369, 75047496554032973815330793219044, 261240334901688587450014541250198601], 'abvar_counts_str': '3421 11703241 42180943684 146909017083609 511116752710854301 1779232010072779491856 6193386212888756260517941 21559181439228937828826211369 75047496554032973815330793219044 261240334901688587450014541250198601 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.163533810355593, 0.836466189644407], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 60, 'curve_counts': [60, 3360, 205380, 12123844, 714924300, 42181353726, 2488651484820, 146830465065604, 8662995818654940, 511116752121067200], 'curve_counts_str': '60 3360 205380 12123844 714924300 42181353726 2488651484820 146830465065604 8662995818654940 511116752121067200 ', 'curves': ['y^2=24*x^6+54*x^5+41*x^4+52*x^3+31*x^2+14*x+25', 'y^2=48*x^6+49*x^5+23*x^4+45*x^3+3*x^2+28*x+50', 'y^2=38*x^6+22*x^5+13*x^4+50*x^3+13*x^2+7*x+40', 'y^2=17*x^6+44*x^5+26*x^4+41*x^3+26*x^2+14*x+21', 'y^2=51*x^6+27*x^5+29*x^4+21*x^3+38*x^2+18*x+28', 'y^2=43*x^6+54*x^5+58*x^4+42*x^3+17*x^2+36*x+56', 'y^2=15*x^6+40*x^5+48*x^4+8*x^3+23*x^2+52*x+5', 'y^2=11*x^6+49*x^5+34*x^4+13*x^3+24*x^2+34*x+34', 'y^2=22*x^6+39*x^5+9*x^4+26*x^3+48*x^2+9*x+9', 'y^2=52*x^6+57*x^5+45*x^4+58*x^3+8*x^2+36*x+36', 'y^2=29*x^6+23*x^5+53*x^4+44*x^3+11*x^2+21*x+7', 'y^2=58*x^6+46*x^5+47*x^4+29*x^3+22*x^2+42*x+14', 'y^2=44*x^6+4*x^5+27*x^4+26*x^3+6*x^2+12*x+17', 'y^2=14*x^6+16*x^5+42*x^4+15*x^3+42*x^2+46*x+54', 'y^2=28*x^6+37*x^5+28*x^4+16*x^3+25*x^2+20*x+26', 'y^2=9*x^6+51*x^5+28*x^4+18*x^3+18*x^2+51*x+27', 'y^2=18*x^6+43*x^5+56*x^4+36*x^3+36*x^2+43*x+54', 'y^2=57*x^6+5*x^5+31*x^4+35*x^3+41*x^2+3*x+4', 'y^2=55*x^6+10*x^5+3*x^4+11*x^3+23*x^2+6*x+8', 'y^2=x^6+44*x^5+19*x^4+47*x^3+9*x^2+11*x+43', 'y^2=11*x^6+43*x^5+44*x^4+40*x^3+29*x^2+57*x+32', 'y^2=41*x^6+27*x^5+10*x^4+17*x^3+35*x^2+21*x+52', 'y^2=23*x^6+54*x^5+20*x^4+34*x^3+11*x^2+42*x+45', 'y^2=13*x^6+17*x^5+37*x^4+4*x^3+52*x^2+57*x+11'], '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': 1, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.10203.1'], 'geometric_splitting_field': '2.0.10203.1', 'geometric_splitting_polynomials': [[2551, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 24, 'label': '2.59.a_acj', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.1665619344.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -61, 0, 3481], 'poly_str': '1 0 -61 0 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, 0, -179], 'simple_distinct': ['2.59.a_acj'], 'simple_factors': ['2.59.a_acjA'], 'simple_multiplicities': [1], 'singular_primes': [], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1665619344.1', 'splitting_polynomials': [[3481, 0, -61, 0, 1]], 'twist_count': 2, 'twists': [['2.59.a_cj', '2.12117361.jpi_cyamtv', 4]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3249, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 49511
    {'base_label': '2.59.a_acj', 'extension_degree': 1, 'extension_label': '2.59.a_acj', 'multiplicity': 1}
  • id: 49512
    {'base_label': '2.59.a_acj', 'extension_degree': 2, 'extension_label': '1.3481.acj', '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': '4.0.1665619344.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.a_acj', 'galois_group': '4T2', 'places': [['0', '61/59', '0', '3480/59'], ['0', '1', '0', '0']]}
• 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': '2.0.10203.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.3481.acj', 'galois_group': '2T1', 'places': [['28', '1'], ['30', '1']]}