Abelian variety isogeny class data - 2.73.a_afq

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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': 5184, 'abvar_counts': [5184, 26873856, 151333448256, 805854925357056, 4297625825557414464, 22901812561051429441536, 122045014039724493876657216, 650377788209622223841525760000, 3465863721549107086340299168839744, 18469587736498048216740576484676407296], 'abvar_counts_str': '5184 26873856 151333448256 805854925357056 4297625825557414464 22901812561051429441536 122045014039724493876657216 650377788209622223841525760000 3465863721549107086340299168839744 18469587736498048216740576484676407296 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.0, 0.0, 1.0, 1.0], 'center_dim': 2, 'curve_count': 74, 'curve_counts': [74, 5038, 389018, 28376926, 2073071594, 151332670222, 11047398519098, 806459978301118, 58871586708267914, 4297625821411271278], 'curve_counts_str': '74 5038 389018 28376926 2073071594 151332670222 11047398519098 806459978301118 58871586708267914 4297625821411271278 ', 'curves': ['y^2=10*x^6+7*x^4+25*x^3+64*x^2+46', 'y^2=x^6+26*x^3+56', 'y^2=43*x^6+51*x^5+64*x^4+6*x^3+43*x^2+7*x+65', 'y^2=x^6+x^3+66', 'y^2=49*x^6+70*x^5+15*x^4+19*x^3+68*x^2+10*x+53', 'y^2=54*x^6+49*x^5+10*x^4+52*x^2+27*x+2', 'y^2=52*x^6+45*x^5+65*x^4+32*x^3+x^2+4*x+67', 'y^2=41*x^6+6*x^5+33*x^4+14*x^3+5*x^2+20*x+43', 'y^2=x^6+11*x^3+17', 'y^2=x^6+x^3+17', 'y^2=69*x^6+55*x^5+34*x^4+42*x^3+32*x^2+3*x+45', 'y^2=47*x^6+62*x^5+30*x^4+43*x^3+57*x^2+53*x+23', 'y^2=31*x^6+22*x^5+68*x^4+65*x^3+2*x^2+59*x+57'], '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': ['2T1'], '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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 13, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 13, 'label': '2.73.a_afq', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'newton_coelevation': 0, 'newton_elevation': 2, 'number_fields': ['2.2.73.1'], 'p': 73, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, -146, 0, 5329], 'poly_str': '1 0 -146 0 5329 ', 'primitive_models': [], 'q': 73, 'real_poly': [1, 0, -292], 'simple_distinct': ['2.73.a_afq'], 'simple_factors': ['2.73.a_afqA'], 'simple_multiplicities': [1], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '2.2.73.1', 'splitting_polynomials': [[-18, -1, 1]], 'twist_count': 5, 'twists': [['2.73.a_cv', '2.389017.a_absgyk', 3], ['2.73.a_fq', '2.28398241.abfnw_oiwlkg', 4], ['2.73.a_cv', '2.151334226289.adknwu_ejbiozfxu', 6], ['2.73.a_a', '2.806460091894081.ajooyye_bihfdosireug', 8], ['2.73.a_acv', '2.22902048046490258711521.acxjojzmpw_ddyclifmnxnblggeg', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 80257
    {'base_label': '2.73.a_afq', 'extension_degree': 1, 'extension_label': '2.73.a_afq', 'multiplicity': 1}
  • id: 80258
    {'base_label': '2.73.a_afq', 'extension_degree': 2, 'extension_label': '1.5329.afq', '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'], 'center': '2.2.73.1', 'center_dim': 2, 'divalg_dim': 4, 'extension_label': '2.73.a_afq', 'galois_group': '2T1', 'places': [['36', '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': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.5329.afq', 'galois_group': '1T1', 'places': [['0']]}