Abelian variety isogeny class data - 2.61.ay_kg

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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': 2500, 'abvar_counts': [2500, 13690000, 51733502500, 191900067840000, 713435734126562500, 2654373182643246490000, 9876829185894211881902500, 36751685911488957592535040000, 136753047784511696180330001602500, 508858107722058440863100848056250000], 'abvar_counts_str': '2500 13690000 51733502500 191900067840000 713435734126562500 2654373182643246490000 9876829185894211881902500 36751685911488957592535040000 136753047784511696180330001602500 508858107722058440863100848056250000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.221142061623696, 0.221142061623696], 'center_dim': 2, 'curve_count': 38, 'curve_counts': [38, 3678, 227918, 13859758, 844706198, 51520844238, 3142741770878, 191707271553118, 11694145660477958, 713342909002702398], 'curve_counts_str': '38 3678 227918 13859758 844706198 51520844238 3142741770878 191707271553118 11694145660477958 713342909002702398 ', 'curves': ['y^2=4*x^6+59*x^5+17*x^4+13*x^3+15*x^2+59*x+30', 'y^2=24*x^6+29*x^5+51*x^4+60*x^3+x^2+3*x+10', 'y^2=23*x^6+5*x^5+55*x^4+34*x^3+26*x^2+60*x+24', 'y^2=31*x^6+23*x^5+38*x^4+2*x^3+4*x^2+54*x+29', 'y^2=28*x^6+59*x^4+59*x^2+28', 'y^2=18*x^6+13*x^5+41*x^4+24*x^3+19*x^2+25*x+7', 'y^2=54*x^6+57*x^5+23*x^4+34*x^3+40*x^2+47*x+56', 'y^2=57*x^6+37*x^5+x^4+23*x^3+46*x^2+29*x+19', 'y^2=50*x^6+6*x^5+4*x^4+33*x^3+9*x^2+38*x+11'], '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': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 9, 'label': '2.61.ay_kg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.4.1'], 'p': 61, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -24, 266, -1464, 3721], 'poly_str': '1 -24 266 -1464 3721 ', 'primitive_models': [], 'q': 61, 'real_poly': [1, -24, 144], 'simple_distinct': ['1.61.am'], 'simple_factors': ['1.61.amA', '1.61.amB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.61.a_aw', '2.3721.abs_lsw', 2], ['2.61.y_kg', '2.3721.abs_lsw', 2], ['2.61.m_df', '2.226981.bka_bmhoc', 3], ['2.61.aw_ji', '2.13845841.upg_gkocao', 4], ['2.61.au_io', '2.13845841.upg_gkocao', 4], ['2.61.ac_c', '2.13845841.upg_gkocao', 4], ['2.61.a_w', '2.13845841.upg_gkocao', 4], ['2.61.c_c', '2.13845841.upg_gkocao', 4], ['2.61.u_io', '2.13845841.upg_gkocao', 4], ['2.61.w_ji', '2.13845841.upg_gkocao', 4], ['2.61.am_df', '2.51520374361.batce_tsgazlgg', 6], ['2.61.a_aeq', '2.191707312997281.admrzyi_ftsiajznsyw', 8], ['2.61.a_eq', '2.191707312997281.admrzyi_ftsiajznsyw', 8], ['2.61.ak_bn', '2.2654348974297586158321.lxttuvvw_enufrjizegwqykmg', 12], ['2.61.k_bn', '2.2654348974297586158321.lxttuvvw_enufrjizegwqykmg', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.61.ay_kg', 'extension_degree': 1, 'extension_label': '1.61.am', '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': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.61.am', 'galois_group': '2T1', 'places': [['11', '1'], ['50', '1']]}