Abelian variety isogeny class data - 2.37.ac_cx

Formats: - HTML - YAML - JSON - 2025-12-09T13:38:58.471793

• 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': 1369, 'abvar_counts': [1369, 2082249, 2576983696, 3502778008041, 4807660755266209, 6583409775309459456, 9012125026534890563209, 12337491085517843860815369, 16890049811773624836006505744, 23122484573742848763904613606649], 'abvar_counts_str': '1369 2082249 2576983696 3502778008041 4807660755266209 6583409775309459456 9012125026534890563209 12337491085517843860815369 16890049811773624836006505744 23122484573742848763904613606649 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.473805533589177, 0.473805533589177], 'center_dim': 2, 'curve_count': 36, 'curve_counts': [36, 1516, 50874, 1868980, 69330636, 2565904822, 94932548460, 3512473524004, 129961709026098, 4808584561055836], 'curve_counts_str': '36 1516 50874 1868980 69330636 2565904822 94932548460 3512473524004 129961709026098 4808584561055836 ', 'curves': ['y^2=5*x^6+3*x^5+13*x^4+22*x^3+22*x^2+15*x+6', 'y^2=21*x^6+6*x^5+29*x^4+14*x^3+15*x^2+13*x+28', 'y^2=19*x^6+32*x^5+8*x^4+16*x^3+20*x^2+15*x+24', 'y^2=23*x^6+8*x^5+27*x^4+5*x^3+23*x^2+36*x+20', 'y^2=2*x^6+2*x^3+17', 'y^2=13*x^6+22*x^5+21*x^4+36*x^3+10*x^2+19*x+18', 'y^2=4*x^6+31*x^5+26*x^4+35*x^3+34*x^2+2*x+3', 'y^2=13*x^6+23*x^5+6*x^4+13*x^3+3*x^2+17*x+26', 'y^2=18*x^6+17*x^5+17*x^4+31*x^3+19*x^2+6*x+24', 'y^2=31*x^6+28*x^4+33*x^3+30*x^2+30*x+8', 'y^2=5*x^6+36*x^5+18*x^4+13*x^3+4*x^2+5*x+10', 'y^2=18*x^6+20*x^5+12*x^4+22*x^3+10*x^2+18*x+32'], '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': 12, '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': 12, 'label': '2.37.ac_cx', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [37], 'number_fields': ['2.0.3.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -2, 75, -74, 1369], 'poly_str': '1 -2 75 -74 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, -2, 1], 'simple_distinct': ['1.37.ab'], 'simple_factors': ['1.37.abA', '1.37.abB'], '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_cv', '2.1369.fq_lyh', 2], ['2.37.c_cx', '2.1369.fq_lyh', 2], ['2.37.au_gs', '2.50653.im_gltu', 3], ['2.37.al_dg', '2.50653.im_gltu', 3], ['2.37.b_abk', '2.50653.im_gltu', 3], ['2.37.k_cl', '2.50653.im_gltu', 3], ['2.37.w_hn', '2.50653.im_gltu', 3], ['2.37.a_acv', '2.1874161.ahri_wxftj', 4], ['2.37.aw_hn', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.av_hc', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.am_dh', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.ak_cl', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.aj_cm', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.ab_abk', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.a_abv', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.a_aba', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.j_cm', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.l_dg', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.m_dh', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.u_gs', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.v_hc', '2.2565726409.kdya_bqjqzzny', 6], ['2.37.a_ba', '2.6582952005840035281.ashtkeye_inrkfjttgtpuug', 12], ['2.37.a_bv', '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.ac_cx', 'extension_degree': 1, 'extension_label': '1.37.ab', '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.ab', 'galois_group': '2T1', 'places': [['10', '1'], ['26', '1']]}