Abelian variety isogeny class data - 2.23.f_p

Formats: - HTML - YAML - JSON - 2026-06-27T20:37:37.717520

• 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': 665, 'abvar_counts': [665, 282625, 151050095, 78378978125, 41374405601200, 21915522197088625, 11592611113309193555, 6132692154060936603125, 3244149758591784430249085, 1716155497349976503648800000], 'abvar_counts_str': '665 282625 151050095 78378978125 41374405601200 21915522197088625 11592611113309193555 6132692154060936603125 3244149758591784430249085 1716155497349976503648800000 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.377413413505433, 0.854224953513228], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 29, 'curve_counts': [29, 535, 12413, 280083, 6428244, 148041955, 3404759303, 78312029043, 1801152022259, 41426503151550], 'curve_counts_str': '29 535 12413 280083 6428244 148041955 3404759303 78312029043 1801152022259 41426503151550 ', 'curves': ['y^2=20*x^6+12*x^5+7*x^4+22*x^3+12*x^2+7*x+16', 'y^2=7*x^6+4*x^5+18*x^3+13*x^2+4*x+18', 'y^2=5*x^6+8*x^5+5*x^4+13*x^3+16*x^2+8*x+20', 'y^2=14*x^6+18*x^5+6*x^4+15*x^3+20*x^2+20*x+11', 'y^2=8*x^6+20*x^5+14*x^4+14*x^3+20*x^2+18*x+22', 'y^2=21*x^6+2*x^5+18*x^4+5*x^3+x^2+8*x+19', 'y^2=12*x^6+4*x^5+13*x^4+14*x^3+8*x^2+17*x+20', 'y^2=6*x^6+10*x^5+8*x^4+10*x^3+11*x^2+5*x+12', 'y^2=18*x^6+9*x^5+22*x^4+16*x^3+19*x^2+20*x+6', 'y^2=13*x^6+12*x^5+x^4+22*x^3+7*x^2+12*x+20', 'y^2=22*x^6+22*x^5+10*x^4+19*x^3+6*x^2+10*x+20', 'y^2=17*x^6+16*x^5+8*x^4+5*x^3+18*x^2+x+4', 'y^2=6*x^6+14*x^5+11*x^4+6*x^3+x^2+12*x+5', 'y^2=3*x^6+13*x^5+16*x^3+x^2+19*x+6', 'y^2=17*x^6+19*x^5+19*x^4+5*x^3+22*x^2+3*x+11', 'y^2=12*x^6+21*x^5+20*x^4+6*x^3+5*x^2+6*x+2', 'y^2=3*x^6+6*x^5+18*x^4+12*x^3+10*x^2+3*x', 'y^2=18*x^6+x^5+18*x^4+21*x^3+6*x^2+13*x+18', 'y^2=22*x^6+14*x^5+5*x^4+17*x^3+22*x^2+6*x+19', 'y^2=8*x^6+7*x^5+8*x^4+3*x^3+16*x^2+18*x+2', 'y^2=3*x^6+14*x^5+15*x^3+22*x+7', 'y^2=18*x^6+11*x^5+21*x^4+11*x^3+4*x^2+8*x+12', 'y^2=2*x^6+19*x^4+13*x^3+17*x^2+8*x+3', 'y^2=21*x^6+11*x^5+15*x^4+7*x^3+21*x^2+3*x+6', 'y^2=18*x^6+8*x^5+14*x^4+7*x^3+21*x^2+12*x+15', 'y^2=14*x^6+11*x^5+4*x^4+20*x^3+13*x^2+15*x+8', 'y^2=11*x^6+4*x^5+19*x^4+9*x^3+20*x^2+13*x+4', 'y^2=8*x^6+x^5+3*x^4+2*x^3+16*x^2+17*x+5', 'y^2=22*x^6+12*x^5+15*x^4+18*x^3+13*x^2+19*x+18', 'y^2=14*x^6+22*x^5+x^4+18*x^3+4*x^2+16*x+2', 'y^2=13*x^6+13*x^5+19*x^4+3*x^3+13*x^2+12*x+4', 'y^2=10*x^6+4*x^5+2*x^4+3*x^3+7*x^2+18*x+12', 'y^2=4*x^6+14*x^5+8*x^4+6*x^3+16*x^2+13*x', 'y^2=4*x^6+21*x^5+8*x^4+8*x^3+19*x^2+20*x+1', 'y^2=4*x^6+15*x^5+16*x^4+6*x^3+19*x^2+15*x+18'], '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': 2, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['4T3'], 'geometric_number_fields': ['4.0.643829.1'], 'geometric_splitting_field': '4.0.125309.1', 'geometric_splitting_polynomials': [[25, -5, 3, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 35, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 35, 'label': '2.23.f_p', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.643829.1'], 'p': 23, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 5, 15, 115, 529], 'poly_str': '1 5 15 115 529 ', 'primitive_models': [], 'q': 23, 'real_poly': [1, 5, -31], 'simple_distinct': ['2.23.f_p'], 'simple_factors': ['2.23.f_pA'], 'simple_multiplicities': [1], 'singular_primes': ['7,7*F-4*V-16'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.125309.1', 'splitting_polynomials': [[25, -5, 3, -1, 1]], 'twist_count': 2, 'twists': [['2.23.af_p', '2.529.f_fd', 2]], 'weak_equivalence_count': 2, 'zfv_index': 7, 'zfv_index_factorization': [[7, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1421, 'zfv_singular_count': 2, 'zfv_singular_primes': ['7,7*F-4*V-16']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.23.f_p', 'extension_degree': 1, 'extension_label': '2.23.f_p', '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': '4.0.643829.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.23.f_p', 'galois_group': '4T3', 'places': [['20', '8', '22', '1'], ['19', '12', '22', '1']]}