Abelian variety isogeny class data - 3.11.l_cj_ja

Formats: - HTML - YAML - JSON - 2026-06-24T16:51:56.249960

• 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': 3640, 'abvar_counts': [3640, 1776320, 2394814240, 3101568404480, 4169529832741000, 5565301608734766080, 7404051809875651363160, 9847073657705669145313280, 13110142828332441764223900640, 17449651297158088835886216248000], 'abvar_counts_str': '3640 1776320 2394814240 3101568404480 4169529832741000 5565301608734766080 7404051809875651363160 9847073657705669145313280 13110142828332441764223900640 17449651297158088835886216248000 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.487578494122743, 0.753947955027065, 0.938682872867822], 'center_dim': 6, 'curve_count': 23, 'curve_counts': [23, 123, 1352, 14471, 160753, 1773276, 19497179, 214301007, 2357974424, 25937794763], 'curve_counts_str': '23 123 1352 14471 160753 1773276 19497179 214301007 2357974424 25937794763 ', 'curves': ['y^2=3*x^8+7*x^7+5*x^6+9*x^5+4*x^4+2*x^3+2*x+1'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.302352320.1'], 'geometric_splitting_field': '6.0.302352320.1', 'geometric_splitting_polynomials': [[95, 0, 107, 0, 21, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.11.l_cj_ja', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['6.0.302352320.1'], 'p': 11, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, 11, 61, 234, 671, 1331, 1331], 'poly_str': '1 11 61 234 671 1331 1331 ', 'primitive_models': [], 'q': 11, 'real_poly': [1, 11, 28, -8], 'simple_distinct': ['3.11.l_cj_ja'], 'simple_factors': ['3.11.l_cj_jaA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.302352320.1', 'splitting_polynomials': [[95, 0, 107, 0, 21, 0, 1]], 'twist_count': 2, 'twists': [['3.11.al_cj_aja', '3.121.b_adh_ss', 2]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '3.11.l_cj_ja', 'extension_degree': 1, 'extension_label': '3.11.l_cj_ja', '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': '6.0.302352320.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.11.l_cj_ja', 'galois_group': '6T11', 'places': [['4', '3', '4', '2', '0', '0'], ['9', '7', '9', '1', '0', '0']]}