Abelian variety isogeny class data - 2.73.ah_ay

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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_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': 4788, 'abvar_counts': [4788, 27885312, 150410557584, 806424595651584, 4297463870869889748, 22901854924751191474176, 122045027703258985978757076, 650377835271794272485149798400, 3465863686653762090165171775356816, 18469587780548589667554266878749226752], 'abvar_counts_str': '4788 27885312 150410557584 806424595651584 4297463870869889748 22901854924751191474176 122045027703258985978757076 650377835271794272485149798400 3465863686653762090165171775356816 18469587780548589667554266878749226752 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0323195869135754, 0.698986253580242], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 67, 'curve_counts': [67, 5233, 386638, 28396993, 2072993467, 151332950158, 11047399755907, 806460036657601, 58871586115531294, 4297625831661242593], 'curve_counts_str': '67 5233 386638 28396993 2072993467 151332950158 11047399755907 806460036657601 58871586115531294 4297625831661242593 ', 'curves': ['y^2=x^6+x^3+71', 'y^2=x^6+x^3+6', 'y^2=11*x^6+x^5+10*x^4+19*x^3+6*x^2+37*x+5', 'y^2=9*x^6+19*x^5+29*x^4+70*x^3+17*x^2+66*x+6', 'y^2=25*x^6+27*x^5+40*x^4+52*x^3+40*x^2+69*x+7', 'y^2=42*x^6+46*x^5+x^4+6*x^3+66*x^2+12*x+43', 'y^2=56*x^6+53*x^5+68*x^4+28*x^3+53*x^2+31*x+34', 'y^2=64*x^5+16*x^4+67*x^3+19*x^2+18*x+28', 'y^2=x^6+5*x^3+6', 'y^2=65*x^6+6*x^5+5*x^3+16*x^2+x+68', 'y^2=11*x^6+48*x^5+36*x^4+53*x^3+69*x^2+30*x+52', 'y^2=33*x^6+15*x^5+41*x^4+32*x^3+71*x^2+31*x+72', 'y^2=35*x^6+12*x^5+53*x^4+9*x^3+2*x^2+61*x+43', 'y^2=57*x^6+38*x^5+29*x^4+50*x^3+13*x^2+18*x+7', 'y^2=67*x^6+9*x^5+69*x^4+36*x^3+18*x^2+47*x+46', 'y^2=52*x^6+34*x^5+50*x^4+29*x^3+6*x^2+22*x+32', 'y^2=39*x^6+28*x^5+9*x^4+10*x^3+24*x^2+61*x', 'y^2=x^6+x^3+57', 'y^2=31*x^6+54*x^5+44*x^4+57*x^3+47*x+35', 'y^2=40*x^6+33*x^5+7*x^4+9*x^3+50*x^2+49*x+3', 'y^2=24*x^6+42*x^5+60*x^4+x^3+21*x^2+39*x+55', 'y^2=6*x^6+11*x^5+31*x^4+62*x^3+66*x^2+3*x+14', 'y^2=44*x^6+9*x^5+58*x^4+11*x^3+57*x^2+7*x+5', 'y^2=32*x^6+43*x^5+43*x^4+66*x^3+62*x^2+60*x+4', 'y^2=42*x^6+20*x^5+37*x^4+35*x^3+25*x^2+70*x+56', 'y^2=38*x^6+38*x^5+54*x^4+55*x^3+59*x^2+69*x+34', 'y^2=51*x^6+66*x^5+6*x^4+46*x^3+38*x^2+46*x+35', 'y^2=58*x^6+28*x^5+66*x^4+31*x^3+69*x^2+25*x+22', 'y^2=60*x^6+55*x^5+50*x^4+39*x^3+52*x^2+32*x+36', 'y^2=54*x^6+72*x^5+22*x^4+70*x^3+43*x^2+18*x+35', 'y^2=54*x^6+50*x^5+10*x^4+47*x^3+60*x^2+53*x+37', 'y^2=15*x^6+68*x^5+23*x^4+19*x^3+37*x^2+43*x+40', 'y^2=46*x^6+58*x^5+13*x^4+45*x^3+28*x^2+59*x+30'], 'dim1_distinct': 2, '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, 'endomorphism_ring_count': 28, 'g': 2, 'galois_groups': ['2T1', '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 33, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 33, 'label': '2.73.ah_ay', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.3.1', '2.0.3.1'], 'p': 73, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -7, -24, -511, 5329], 'poly_str': '1 -7 -24 -511 5329 ', 'primitive_models': [], 'q': 73, 'real_poly': [1, -7, -170], 'simple_distinct': ['1.73.ar', '1.73.k'], 'simple_factors': ['1.73.arA', '1.73.kA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,F+11', '2,-F+3'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.73.abb_me', '2.5329.adt_gay', 2], ['2.73.h_ay', '2.5329.adt_gay', 2], ['2.73.bb_me', '2.5329.adt_gay', 2], ['2.73.abi_qt', '2.389017.adno_euvtu', 3], ['2.73.ak_bb', '2.389017.adno_euvtu', 3], ['2.73.o_hn', '2.389017.adno_euvtu', 3], ['2.73.r_ii', '2.389017.adno_euvtu', 3], ['2.73.u_jm', '2.389017.adno_euvtu', 3], ['2.73.ay_kf', '2.151334226289.acupua_dkjshechy', 6], ['2.73.au_jm', '2.151334226289.acupua_dkjshechy', 6], ['2.73.ar_ii', '2.151334226289.acupua_dkjshechy', 6], ['2.73.ao_hn', '2.151334226289.acupua_dkjshechy', 6], ['2.73.ad_cy', '2.151334226289.acupua_dkjshechy', 6], ['2.73.a_afn', '2.151334226289.acupua_dkjshechy', 6], ['2.73.a_bu', '2.151334226289.acupua_dkjshechy', 6], ['2.73.a_dt', '2.151334226289.acupua_dkjshechy', 6], ['2.73.d_cy', '2.151334226289.acupua_dkjshechy', 6], ['2.73.k_bb', '2.151334226289.acupua_dkjshechy', 6], ['2.73.y_kf', '2.151334226289.acupua_dkjshechy', 6], ['2.73.bi_qt', '2.151334226289.acupua_dkjshechy', 6], ['2.73.a_adt', '2.22902048046490258711521.abaahujfke_bhveshxzzlgrbjqeg', 12], ['2.73.a_abu', '2.22902048046490258711521.abaahujfke_bhveshxzzlgrbjqeg', 12], ['2.73.a_fn', '2.22902048046490258711521.abaahujfke_bhveshxzzlgrbjqeg', 12]], 'weak_equivalence_count': 28, 'zfv_index': 5832, 'zfv_index_factorization': [[2, 3], [3, 6]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 576, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,F+11', '2,-F+3']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 83742
    {'base_label': '2.73.ah_ay', 'extension_degree': 1, 'extension_label': '1.73.ar', 'multiplicity': 1}
  • id: 83743
    {'base_label': '2.73.ah_ay', 'extension_degree': 1, 'extension_label': '1.73.k', 'multiplicity': 1}
  • id: 83744
    {'base_label': '2.73.ah_ay', 'extension_degree': 3, 'extension_label': '1.389017.abtu', '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': '1.73.ar', 'galois_group': '2T1', 'places': [['64', '1'], ['8', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.73.k', 'galois_group': '2T1', 'places': [['64', '1'], ['8', '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': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.389017.abtu', 'galois_group': '2T1', 'places': [['64', '1'], ['8', '1']]}