Abelian variety isogeny class data - 2.41.aj_de

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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': 1386, 'abvar_counts': [1386, 2968812, 4776294600, 7984916755200, 13424368536700506, 22564121123014732800, 37929100572113571763866, 63758940714422376741964800, 107178923062482477176804387400, 180167786256150921549031840125612], 'abvar_counts_str': '1386 2968812 4776294600 7984916755200 13424368536700506 22564121123014732800 37929100572113571763866 63758940714422376741964800 107178923062482477176804387400 180167786256150921549031840125612 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.251940962052475, 0.5], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 33, 'curve_counts': [33, 1765, 69300, 2825761, 115870953, 4750237042, 194753623713, 7984913932801, 327381910247700, 13422659555985205], 'curve_counts_str': '33 1765 69300 2825761 115870953 4750237042 194753623713 7984913932801 327381910247700 13422659555985205 ', 'curves': ['y^2=31*x^6+32*x^5+39*x^4+24*x^2+32*x+34', 'y^2=16*x^5+38*x^4+16*x^3+29*x+34', 'y^2=34*x^6+38*x^5+15*x^4+18*x^3+18*x^2+16*x+39', 'y^2=6*x^6+34*x^5+39*x^4+38*x^3+26*x^2+39*x+29', 'y^2=22*x^6+38*x^5+25*x^4+2*x^3+30*x^2+9*x+19', 'y^2=10*x^6+11*x^5+14*x^3+35*x^2+40*x+22', 'y^2=26*x^5+8*x^4+34*x^3+39*x^2+22*x+6', 'y^2=3*x^6+23*x^5+30*x^4+20*x^3+5*x^2+26', 'y^2=28*x^6+31*x^5+31*x^4+39*x^3+21*x^2+25*x+39', 'y^2=22*x^6+14*x^5+39*x^4+13*x^3+28*x^2+21*x+3', 'y^2=19*x^6+26*x^4+35*x^3+5*x^2+37', 'y^2=23*x^6+17*x^5+29*x^4+21*x^3+31*x^2+39*x+24', 'y^2=x^6+34*x^5+10*x^4+27*x^3+x^2+26*x+9', 'y^2=12*x^6+10*x^5+15*x^4+13*x^3+12*x^2+14*x+22', 'y^2=6*x^6+12*x^5+9*x^4+33*x^3+17*x^2+25*x+38', 'y^2=30*x^6+30*x^5+30*x^4+20*x^3+18*x^2+12*x+38', 'y^2=27*x^6+28*x^5+2*x^4+40*x^3+14*x^2+7*x+31', 'y^2=13*x^6+32*x^5+24*x^4+2*x^3+40*x^2+4*x+9', 'y^2=9*x^6+25*x^5+25*x^4+17*x^3+35*x^2+29*x+2', 'y^2=14*x^6+15*x^5+7*x^4+19*x^3+6*x^2+3*x+11', 'y^2=29*x^5+23*x^4+6*x^3+6*x^2+37*x+35', 'y^2=26*x^6+39*x^5+10*x^4+5*x^3+26*x^2+19*x+3', 'y^2=14*x^6+9*x^5+38*x^4+7*x^3+25*x^2+29*x+6', 'y^2=11*x^5+9*x^4+6*x^3+2*x^2+36*x+29', 'y^2=8*x^6+24*x^5+13*x^4+13*x^3+12*x^2+12*x+34', 'y^2=32*x^6+21*x^5+3*x^4+24*x^3+18*x^2+14*x+30', 'y^2=x^6+20*x^5+36*x^4+30*x^3+26*x^2+9*x+36', 'y^2=21*x^6+17*x^5+27*x^4+9*x^3+20*x^2+8*x+28', 'y^2=33*x^6+4*x^5+32*x^4+40*x^3+32*x^2+25*x+16', 'y^2=7*x^6+37*x^5+5*x^4+35*x^3+15*x^2+32*x+17', 'y^2=13*x^6+39*x^5+11*x^4+30*x^3+17*x^2+7*x+5', 'y^2=29*x^6+40*x^5+31*x^4+7*x^3+36*x^2+29*x+35', 'y^2=7*x^6+16*x^5+37*x^4+39*x^3+9*x^2+8*x+36', 'y^2=x^6+35*x^5+27*x^4+14*x^3+24*x^2+x+29', 'y^2=29*x^6+17*x^5+13*x^4+40*x^3+31*x^2+39*x+33', 'y^2=18*x^6+9*x^5+10*x^4+36*x^3+16*x^2+7*x+32', 'y^2=35*x^6+30*x^5+25*x^4+26*x^3+30*x^2+36*x+11', 'y^2=27*x^6+29*x^5+33*x^4+30*x^3+30*x^2+7', 'y^2=40*x^6+36*x^5+33*x^4+8*x^3+10*x^2+26*x+39', 'y^2=16*x^6+30*x^5+39*x^4+18*x^3+7*x^2+2*x+17', 'y^2=6*x^6+38*x^5+29*x^4+16*x^3+23*x^2+8*x+11', 'y^2=15*x^6+10*x^5+22*x^4+24*x^3+5*x^2+19*x+16', 'y^2=26*x^6+22*x^5+30*x^4+9*x^3+5*x^2+22*x+2', 'y^2=12*x^6+17*x^5+22*x^4+40*x^3+30*x^2+14*x+35', 'y^2=6*x^6+35*x^5+27*x^4+11*x^3+12*x^2+23*x+25', 'y^2=11*x^6+30*x^5+18*x^4+9*x^3+x^2+26*x+24', 'y^2=22*x^6+18*x^5+13*x^4+9*x^3+33*x^2+5*x+6', 'y^2=25*x^6+15*x^5+38*x^4+40*x^3+3*x^2+33*x+33', 'y^2=9*x^6+24*x^5+14*x^4+12*x^3+11*x^2+34*x+17', 'y^2=29*x^6+9*x^5+2*x^4+37*x^3+21*x^2+35*x+10', 'y^2=4*x^6+13*x^5+19*x^4+18*x^3+11*x^2+8*x+29', 'y^2=37*x^6+6*x^5+14*x^4+3*x^3+26*x^2+14*x+27', 'y^2=39*x^6+40*x^5+9*x^4+39*x^3+34*x^2+27*x+27', 'y^2=4*x^6+27*x^5+16*x^4+25*x+22', 'y^2=14*x^6+10*x^5+31*x^4+3*x^3+7*x^2+25*x+27', 'y^2=15*x^6+26*x^5+3*x^4+19*x^3+x^2+5*x+40', 'y^2=39*x^6+34*x^5+3*x^4+15*x^3+13*x^2+8*x+3', 'y^2=7*x^6+20*x^5+32*x^4+9*x^3+4*x^2+6*x+19', 'y^2=38*x^6+12*x^5+36*x^4+12*x^3+13*x^2+33*x+37', 'y^2=11*x^6+29*x^5+36*x^4+20*x^3+26*x^2+6*x+24', 'y^2=5*x^6+17*x^5+39*x^4+3*x^3+22*x^2+20*x+13', 'y^2=16*x^6+13*x^5+10*x^4+x^3+27*x^2+40*x+12', 'y^2=7*x^6+33*x^5+9*x^4+39*x^2+39*x+34', 'y^2=37*x^6+37*x^5+40*x^4+2*x^3+22*x^2+14*x+2', 'y^2=30*x^6+2*x^5+5*x^4+28*x^3+17*x^2+6*x+36', 'y^2=14*x^6+5*x^5+31*x^4+39*x^3+17*x^2+38*x+29', 'y^2=10*x^6+35*x^5+36*x^3+25*x^2+8*x+30', 'y^2=29*x^6+32*x^5+26*x^4+25*x^2+36*x+28', 'y^2=3*x^6+29*x^5+28*x^4+39*x^3+36*x^2+18*x+14', 'y^2=20*x^6+17*x^5+33*x^4+40*x^3+31*x^2+20*x+12', 'y^2=22*x^6+18*x^5+34*x^4+5*x^3+10*x^2+34*x+19', 'y^2=27*x^6+8*x^5+4*x^4+16*x^3+37*x^2+3*x+33', 'y^2=3*x^6+21*x^5+38*x^4+26*x^3+21*x^2+40*x+7', 'y^2=20*x^6+28*x^5+29*x^4+31*x^3+11*x^2+12*x+32', 'y^2=5*x^6+35*x^5+26*x^4+11*x^3+20*x^2+x+31', 'y^2=14*x^6+23*x^5+36*x^4+13*x^3+16*x^2+40*x+33', 'y^2=x^6+19*x^5+38*x^4+29*x^3+20*x^2+6*x+29', 'y^2=27*x^6+17*x^5+40*x^4+25*x^3+20*x^2+20*x+21', 'y^2=23*x^6+15*x^5+33*x^4+4*x^3+13*x^2+40*x+10', 'y^2=30*x^6+33*x^5+34*x^4+20*x^3+3*x^2+28*x+12', 'y^2=24*x^5+22*x^4+38*x^3+30*x^2+23*x+13', 'y^2=29*x^6+19*x^5+5*x^4+8*x^3+18*x^2+10*x+37', 'y^2=18*x^6+22*x^5+33*x^4+5*x^3+35*x^2+31*x+24', 'y^2=30*x^6+2*x^5+19*x^4+30*x^3+4*x^2+40*x+6', 'y^2=15*x^6+3*x^5+13*x^4+37*x^3+39*x^2+19*x+12', 'y^2=5*x^6+18*x^5+15*x^4+11*x^3+9*x^2+12*x', 'y^2=17*x^6+16*x^5+21*x^4+31*x^3+23*x^2+17*x+3', 'y^2=36*x^6+7*x^5+36*x^4+26*x^3+27*x^2+20*x+31', 'y^2=26*x^6+36*x^5+32*x^3+32*x^2+29*x+11', 'y^2=3*x^6+39*x^5+31*x^4+32*x^3+x^2+10*x+12', 'y^2=15*x^6+19*x^5+30*x^4+19*x^3+20*x^2+11*x+35', 'y^2=9*x^6+38*x^5+3*x^4+24*x^3+37*x^2+19*x+27', 'y^2=39*x^6+8*x^5+39*x^4+21*x^3+19*x^2+12*x+22', 'y^2=17*x^6+25*x^5+8*x^4+6*x^3+10*x+35', 'y^2=23*x^6+17*x^5+5*x^4+25*x^3+37*x^2+2*x+34', 'y^2=9*x^6+28*x^5+18*x^4+6*x^3+12*x+19'], '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': 9, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 3, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.83.1'], 'geometric_splitting_field': '2.0.83.1', 'geometric_splitting_polynomials': [[21, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 96, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 96, 'label': '2.41.aj_de', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 1, 'noncyclic_primes': [3], 'number_fields': ['2.0.83.1', '2.0.164.1'], 'p': 41, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -9, 82, -369, 1681], 'poly_str': '1 -9 82 -369 1681 ', 'primitive_models': [], 'q': 41, 'real_poly': [1, -9], 'simple_distinct': ['1.41.aj', '1.41.a'], 'simple_factors': ['1.41.ajA', '1.41.aA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,F-8', '3,-14*F-1'], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '4.0.185286544.1', 'splitting_polynomials': [[441, -124, 125, -2, 1]], 'twist_count': 2, 'twists': [['2.41.j_de', '2.1681.df_fcm', 2]], 'weak_equivalence_count': 9, 'zfv_index': 81, 'zfv_index_factorization': [[3, 4]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 13612, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,F-8', '3,-14*F-1']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 29857
    {'base_label': '2.41.aj_de', 'extension_degree': 1, 'extension_label': '1.41.aj', 'multiplicity': 1}
  • id: 29858
    {'base_label': '2.41.aj_de', 'extension_degree': 1, 'extension_label': '1.41.a', 'multiplicity': 1}
  • id: 29859
    {'base_label': '2.41.aj_de', 'extension_degree': 2, 'extension_label': '1.1681.b', 'multiplicity': 1}
  • id: 29860
    {'base_label': '2.41.aj_de', 'extension_degree': 2, 'extension_label': '1.1681.de', 'multiplicity': 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': '2.0.83.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.41.aj', 'galois_group': '2T1', 'places': [['36', '1'], ['4', '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': '2.0.164.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.41.a', 'galois_group': '2T1', 'places': [['0', '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': '2.0.83.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1681.b', 'galois_group': '2T1', 'places': [['36', '1'], ['4', '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': '1.1681.de', 'galois_group': '1T1', 'places': [['0']]}