Abelian variety isogeny class data - 2.41.aq_fq

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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': 1156, 'abvar_counts': [1156, 2890000, 4815527236, 8002109440000, 13423807006211716, 22562683350372490000, 37928883428304010646596, 63758973775802534461440000, 107178935918799252856563103876, 180167788518505195058262306250000], 'abvar_counts_str': '1156 2890000 4815527236 8002109440000 13423807006211716 22562683350372490000 37928883428304010646596 63758973775802534461440000 107178935918799252856563103876 180167788518505195058262306250000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.285223287477277, 0.285223287477277], 'center_dim': 2, 'curve_count': 26, 'curve_counts': [26, 1718, 69866, 2831838, 115866106, 4749934358, 194752508746, 7984918073278, 327381949517786, 13422659724532598], 'curve_counts_str': '26 1718 69866 2831838 115866106 4749934358 194752508746 7984918073278 327381949517786 13422659724532598 ', 'curves': ['y^2=26*x^6+19*x^5+18*x^4+26*x^3+33*x^2+24*x+30', 'y^2=29*x^6+12*x^5+15*x^4+17*x^3+16*x^2+19*x+27', 'y^2=4*x^6+37*x^5+3*x^4+7*x^3+28*x^2+16*x+1', 'y^2=2*x^6+2*x^5+28*x^4+28*x^3+19*x^2+5*x+40', 'y^2=31*x^6+x^5+35*x^4+x^3+11*x^2+25*x+21', 'y^2=12*x^6+35*x^5+21*x^4+22*x^3+28*x^2+24*x+27', 'y^2=38*x^6+22*x^5+22*x^4+33*x^3+25*x^2+38*x+37', 'y^2=26*x^6+x^4+x^2+26', 'y^2=5*x^6+29*x^5+4*x^4+14*x^3+34*x^2+34*x+6'], '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': '2.41.aq_fq', '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': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -16, 146, -656, 1681], 'poly_str': '1 -16 146 -656 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, -16, 64], 'simple_distinct': ['1.41.ai'], 'simple_factors': ['1.41.aiA', '1.41.aiB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.41.a_s', '2.1681.bk_flu', 2], ['2.41.q_fq', '2.1681.bk_flu', 2], ['2.41.i_x', '2.68921.bki_unmg', 3], ['2.41.au_ha', '2.2825761.izs_bgorgw', 4], ['2.41.as_gg', '2.2825761.izs_bgorgw', 4], ['2.41.ac_c', '2.2825761.izs_bgorgw', 4], ['2.41.a_as', '2.2825761.izs_bgorgw', 4], ['2.41.c_c', '2.2825761.izs_bgorgw', 4], ['2.41.s_gg', '2.2825761.izs_bgorgw', 4], ['2.41.u_ha', '2.2825761.izs_bgorgw', 4], ['2.41.ai_x', '2.4750104241.ajria_cccwetvy', 6], ['2.41.a_adc', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.a_dc', '2.7984925229121.aprdou_fhueqoesyo', 8], ['2.41.ak_ch', '2.22563490300366186081.ouqvbrw_uhpqxurdifkmyg', 12], ['2.41.k_ch', '2.22563490300366186081.ouqvbrw_uhpqxurdifkmyg', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.41.aq_fq', 'extension_degree': 1, 'extension_label': '1.41.ai', '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': '1.41.ai', 'galois_group': '2T1', 'places': [['32', '1'], ['9', '1']]}