Abelian variety isogeny class data - 2.37.aw_hn

Formats: - HTML - YAML - JSON - 2026-10-07T05:59:19.971037

• 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': 729, 'abvar_counts': [729, 1750329, 2554695936, 3514466345481, 4809956093699409, 6583409775309459456, 9012178133591611145049, 12337536280172719319294409, 16890057809353969875924666624, 23122484059960988817426164514249], 'abvar_counts_str': '729 1750329 2554695936 3514466345481 4809956093699409 6583409775309459456 9012178133591611145049 12337536280172719319294409 16890057809353969875924666624 23122484059960988817426164514249 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.140472200255843, 0.140472200255843], 'center_dim': 2, 'curve_count': 16, 'curve_counts': [16, 1276, 50434, 1875220, 69363736, 2565904822, 94933107880, 3512486390884, 129961770564058, 4808584454209036], 'curve_counts_str': '16 1276 50434 1875220 69363736 2565904822 94933107880 3512486390884 129961770564058 4808584454209036 ', 'curves': ['y^2=11*x^6+36*x^5+31*x^4+19*x^3+5*x^2+25*x+1', 'y^2=x^6+12*x^3+26'], 'dim1_distinct': 1, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.37.aw_hn', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.3.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -22, 195, -814, 1369], 'poly_str': '1 -22 195 -814 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, -22, 121], 'simple_distinct': ['1.37.al'], 'simple_factors': ['1.37.alA', '1.37.alB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.37.a_abv', '2.1369.adq_hih', 2], ['2.37.w_hn', '2.1369.adq_hih', 2], ['2.37.ak_cl', '2.50653.aim_gltu', 3], ['2.37.ab_abk', '2.50653.aim_gltu', 3], ['2.37.c_cx', '2.50653.aim_gltu', 3], ['2.37.l_dg', '2.50653.aim_gltu', 3], ['2.37.u_gs', '2.50653.aim_gltu', 3], ['2.37.a_bv', '2.1874161.bos_ivevj', 4], ['2.37.av_hc', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.au_gs', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.am_dh', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.al_dg', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.aj_cm', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.ac_cx', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.a_aba', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.a_cv', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.b_abk', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.j_cm', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.k_cl', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.m_dh', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.v_hc', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.a_acv', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.a_ba', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.37.aw_hn', 'extension_degree': 1, 'extension_label': '1.37.al', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.al', 'galois_group': '2T1', 'places': [['10', '1'], ['26', '1']]}