Abelian variety isogeny class data - 2.41.a_abn

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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': 1643, 'abvar_counts': [1643, 2699449, 4750241600, 7995338725609, 13422659167481003, 22564795258370560000, 37929227194790075968283, 63759067042324612439597769, 107178930967532418525525550400, 180167779126361812543840365886009], 'abvar_counts_str': '1643 2699449 4750241600 7995338725609 13422659167481003 22564795258370560000 37929227194790075968283 63759067042324612439597769 107178930967532418525525550400 180167779126361812543840365886009 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.171113726077932, 0.828886273922068], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 42, 'curve_counts': [42, 1604, 68922, 2829444, 115856202, 4750378958, 194754273882, 7984929753604, 327381934393962, 13422659024809604], 'curve_counts_str': '42 1604 68922 2829444 115856202 4750378958 194754273882 7984929753604 327381934393962 13422659024809604 ', 'curves': ['y^2=40*x^6+9*x^5+30*x^4+12*x^3+6*x^2+6*x+29', 'y^2=35*x^6+13*x^5+16*x^4+31*x^3+36*x^2+36*x+10', 'y^2=8*x^6+14*x^5+12*x^4+21*x^3+30*x^2+4*x+31', 'y^2=14*x^6+15*x^5+30*x^3+13*x^2+12*x+32', 'y^2=27*x^6+4*x^5+34*x^4+25*x^3+38*x^2+21*x+4', 'y^2=39*x^6+24*x^5+40*x^4+27*x^3+23*x^2+3*x+24', 'y^2=x^6+12*x^5+29*x^4+3*x^3+4*x^2+21*x+8', 'y^2=29*x^6+15*x^5+4*x^4+14*x^3+27*x^2+26*x+11', 'y^2=10*x^6+8*x^5+24*x^4+2*x^3+39*x^2+33*x+25', 'y^2=35*x^6+21*x^5+28*x^4+22*x^3+11*x^2+13*x+39', 'y^2=39*x^6+24*x^4+30*x^3+24*x^2+39', 'y^2=29*x^6+21*x^4+16*x^3+21*x^2+29', 'y^2=19*x^6+13*x^5+25*x^4+x^3+13*x^2+20*x+30', 'y^2=32*x^6+37*x^5+27*x^4+6*x^3+37*x^2+38*x+16', 'y^2=17*x^6+28*x^5+40*x^4+7*x^3+37*x^2+13*x+12', 'y^2=28*x^6+20*x^5+18*x^4+11*x^3+27*x^2+10*x+20', 'y^2=4*x^6+38*x^5+26*x^4+25*x^3+39*x^2+19*x+38'], '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': 8, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.43.1'], 'geometric_splitting_field': '2.0.43.1', 'geometric_splitting_polynomials': [[11, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 17, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 17, 'label': '2.41.a_abn', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.43.1', '2.0.43.1'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -39, 0, 1681], 'poly_str': '1 0 -39 0 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, 0, -121], 'simple_distinct': ['1.41.al', '1.41.l'], 'simple_factors': ['1.41.alA', '1.41.lA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,9*F+V+9', '11,16*F+80', '11,-6*F-V+14'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.43.1', 'splitting_polynomials': [[11, -1, 1]], 'twist_count': 6, 'twists': [['2.41.aw_hv', '2.1681.ada_hfv', 2], ['2.41.w_hv', '2.1681.ada_hfv', 2], ['2.41.a_bn', '2.2825761.flq_tujzf', 4], ['2.41.al_dc', '2.4750104241.pqka_dnvokpvy', 6], ['2.41.l_dc', '2.4750104241.pqka_dnvokpvy', 6]], 'weak_equivalence_count': 8, 'zfv_index': 484, 'zfv_index_factorization': [[2, 2], [11, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1849, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,9*F+V+9', '11,16*F+80', '11,-6*F-V+14']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 29419
    {'base_label': '2.41.a_abn', 'extension_degree': 1, 'extension_label': '1.41.al', 'multiplicity': 1}
  • id: 29420
    {'base_label': '2.41.a_abn', 'extension_degree': 1, 'extension_label': '1.41.l', 'multiplicity': 1}
  • id: 29421
    {'base_label': '2.41.a_abn', 'extension_degree': 2, 'extension_label': '1.1681.abn', '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': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.41.al', 'galois_group': '2T1', 'places': [['35', '1'], ['5', '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': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.41.l', 'galois_group': '2T1', 'places': [['5', '1'], ['35', '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': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1681.abn', 'galois_group': '2T1', 'places': [['35', '1'], ['5', '1']]}