Abelian variety isogeny class data - 2.79.a_adb

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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': 6163, 'abvar_counts': [6163, 37982569, 243088441600, 1517595101680329, 9468276079549790803, 59091990439516610560000, 368790120348659187344587123, 2301619259279128454488365229449, 14364405059580771821979562799622400, 89648251918574756458300472801063384809], 'abvar_counts_str': '6163 37982569 243088441600 1517595101680329 9468276079549790803 59091990439516610560000 368790120348659187344587123 2301619259279128454488365229449 14364405059580771821979562799622400 89648251918574756458300472801063384809 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.166666666666667, 0.833333333333333], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 80, 'curve_counts': [80, 6084, 493040, 38962564, 3077056400, 243089427678, 19203908986160, 1517108887806724, 119851595982618320, 9468276076472734404], 'curve_counts_str': '80 6084 493040 38962564 3077056400 243089427678 19203908986160 1517108887806724 119851595982618320 9468276076472734404 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 4, 'g': 2, 'galois_groups': ['4T2'], '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': 1, 'geometric_extension_degree': 6, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': -1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 0, 'label': '2.79.a_adb', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 0, 'newton_elevation': 2, 'number_fields': ['4.0.56169.1'], 'p': 79, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, -79, 0, 6241], 'poly_str': '1 0 -79 0 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, 0, -237], 'simple_distinct': ['2.79.a_adb'], 'simple_factors': ['2.79.a_adbA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2-5*V', '79,80*V,-3*F-79*V'], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '4.0.56169.1', 'splitting_polynomials': [[400, -20, -19, -1, 1]], 'twist_count': 5, 'twists': [['2.79.a_gc', '2.493039.a_cecsc', 3], ['2.79.a_db', '2.38950081.smc_jvshkd', 4], ['2.79.a_agc', '2.59091511031674153381441.aerbqdwwue_idkaxnsshfevqbkig', 12], ['2.79.a_db', '2.59091511031674153381441.aerbqdwwue_idkaxnsshfevqbkig', 12], ['2.79.a_a', '2.3491806676006468166913468087133050334443236481.afkyaprvdnmdftjpoe_lalittuvkcaeeopmgdagvilthnzqjdwqg', 24]], 'weak_equivalence_count': 4, 'zfv_index': 316, 'zfv_index_factorization': [[2, 2], [79, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 6241, 'zfv_singular_count': 5, 'zfv_singular_primes': ['2,-F^2-5*V', '79,80*V,-3*F-79*V']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 88359
    {'base_label': '2.79.a_adb', 'extension_degree': 1, 'extension_label': '2.79.a_adb', 'multiplicity': 1}
  • id: 88360
    {'base_label': '2.79.a_adb', 'extension_degree': 2, 'extension_label': '2.6241.agc_bbsd', 'multiplicity': 1}
  • id: 88361
    {'base_label': '2.79.a_adb', 'extension_degree': 3, 'extension_label': '1.493039.a', 'multiplicity': 2}
  • id: 88362
    {'base_label': '2.79.a_adb', 'extension_degree': 6, 'extension_label': '1.243087455521.cecsc', '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': '4.0.56169.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.79.a_adb', 'galois_group': '4T2', 'places': [['67', '1', '0', '0'], ['51', '1', '0', '0']]}
• 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': ['1/2', '1/2'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 4, 'extension_label': '2.6241.agc_bbsd', 'galois_group': '2T1', 'places': [['23', '1'], ['55', '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'], 'center': '2.0.79.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.493039.a', 'galois_group': '2T1', 'places': [['39', '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': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.243087455521.cecsc', 'galois_group': '1T1', 'places': [['0']]}