Abelian variety isogeny class data - 2.79.ba_mp

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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': 8649, 'abvar_counts': [8649, 38825361, 242217528336, 1518071964528249, 9467716952809284849, 59091610514284846100736, 368790293860548612593265729, 2301618913850933624280563834409, 14364405207413478853276842463214736, 89648251937060140491151279920838733601], 'abvar_counts_str': '8649 38825361 242217528336 1518071964528249 9467716952809284849 59091610514284846100736 368790293860548612593265729 2301618913850933624280563834409 14364405207413478853276842463214736 89648251937060140491151279920838733601 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.761089378095429, 0.761089378095429], 'center_dim': 2, 'curve_count': 106, 'curve_counts': [106, 6220, 491272, 38974804, 3076874686, 243087864766, 19203918021394, 1517108660118244, 119851597216082968, 9468276078425083900], 'curve_counts_str': '106 6220 491272 38974804 3076874686 243087864766 19203918021394 1517108660118244 119851597216082968 9468276078425083900 ', 'curves': ['y^2=11*x^6+18*x^5+6*x^4+19*x^3+6*x^2+18*x+11', 'y^2=61*x^6+48*x^5+42*x^4+32*x^3+42*x^2+48*x+61', 'y^2=16*x^6+55*x^5+6*x^4+64*x^3+54*x^2+31*x+62', 'y^2=5*x^6+45*x^5+58*x^3+41*x^2+25*x+55', 'y^2=26*x^6+34*x^5+70*x^4+43*x^3+70*x^2+34*x+26', 'y^2=49*x^6+42*x^5+8*x^4+30*x^3+23*x^2+19*x+24', 'y^2=19*x^6+73*x^5+23*x^4+25*x^3+23*x^2+73*x+19', 'y^2=x^6+26*x^3+38', 'y^2=15*x^6+60*x^5+36*x^4+3*x^3+36*x^2+60*x+15', 'y^2=22*x^6+63*x^5+22*x^4+24*x^3+22*x^2+63*x+22', 'y^2=73*x^6+71*x^5+76*x^4+34*x^3+6*x^2+55*x+23', 'y^2=5*x^6+29*x^5+2*x^4+62*x^3+69*x^2+22*x+24'], '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 12, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 12, 'label': '2.79.ba_mp', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3, 31], 'number_fields': ['2.0.3.1'], 'p': 79, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 26, 327, 2054, 6241], 'poly_str': '1 26 327 2054 6241 ', 'primitive_models': [], 'q': 79, 'real_poly': [1, 26, 169], 'simple_distinct': ['1.79.n'], 'simple_factors': ['1.79.nA', '1.79.nB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 24, 'twists': [['2.79.aba_mp', '2.6241.aw_sqt', 2], ['2.79.a_al', '2.6241.aw_sqt', 2], ['2.79.abi_rf', '2.493039.acqa_dwosc', 3], ['2.79.an_dm', '2.493039.acqa_dwosc', 3], ['2.79.ae_acl', '2.493039.acqa_dwosc', 3], ['2.79.i_gs', '2.493039.acqa_dwosc', 3], ['2.79.r_ic', '2.493039.acqa_dwosc', 3], ['2.79.a_l', '2.38950081.bkow_tkvoat', 4], ['2.79.abe_op', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.av_is', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.ar_ic', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.aj_ec', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.ai_gs', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.a_afb', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.a_fm', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.e_acl', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.j_ec', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.n_dm', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.v_is', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.be_op', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.bi_rf', '2.243087455521.xhke_cntjcjmeg', 6], ['2.79.a_afm', '2.59091511031674153381441.egqodavfw_hgecurmnzcdnziaig', 12], ['2.79.a_fb', '2.59091511031674153381441.egqodavfw_hgecurmnzcdnziaig', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.79.ba_mp', 'extension_degree': 1, 'extension_label': '1.79.n', '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': '1.79.n', 'galois_group': '2T1', 'places': [['23', '1'], ['55', '1']]}