Abelian variety isogeny class data - 2.97.abk_ty

Formats: - HTML - YAML - JSON - 2025-12-06T17:11:39.238315

• 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': 6400, 'abvar_counts': [6400, 86118400, 831889926400, 7837773373440000, 73743995224569760000, 693844814118486188953600, 6528365613439081416152070400, 61425368063974550039303946240000, 577951264697229737099803209077766400, 5437943430548309311860545382402050560000], 'abvar_counts_str': '6400 86118400 831889926400 7837773373440000 73743995224569760000 693844814118486188953600 6528365613439081416152070400 61425368063974550039303946240000 577951264697229737099803209077766400 5437943430548309311860545382402050560000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.133124938747657, 0.133124938747657], 'center_dim': 2, 'curve_count': 62, 'curve_counts': [62, 9150, 911486, 88533118, 8587524542, 832974949950, 80798319612926, 7837433941136638, 760231061488162622, 73742412706861890750], 'curve_counts_str': '62 9150 911486 88533118 8587524542 832974949950 80798319612926 7837433941136638 760231061488162622 73742412706861890750 ', 'curves': ['y^2=22*x^6+92*x^4+92*x^2+22', 'y^2=53*x^6+66*x^4+66*x^2+53', 'y^2=21*x^6+32*x^4+32*x^2+21', 'y^2=21*x^6+45*x^5+20*x^4+95*x^3+41*x^2+23*x+76', 'y^2=10*x^6+42*x^5+18*x^4+52*x^3+72*x^2+90*x+58', 'y^2=45*x^6+34*x^5+24*x^4+64*x^3+74*x^2+46*x+17', 'y^2=39*x^6+64*x^5+81*x^4+16*x^3+35*x^2+88*x+82', 'y^2=32*x^6+96*x^5+45*x^4+5*x^3+45*x^2+96*x+32', 'y^2=56*x^6+56*x^5+84*x^4+29*x^3+84*x^2+56*x+56', 'y^2=69*x^6+24*x^5+20*x^4+94*x^3+20*x^2+24*x+69'], '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': 10, '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': 10, 'label': '2.97.abk_ty', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 5], 'number_fields': ['2.0.4.1'], 'p': 97, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -36, 518, -3492, 9409], 'poly_str': '1 -36 518 -3492 9409 ', 'primitive_models': [], 'q': 97, 'real_poly': [1, -36, 324], 'simple_distinct': ['1.97.as'], 'simple_factors': ['1.97.asA', '1.97.asB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.97.a_afa', '2.9409.aka_cavu', 2], ['2.97.bk_ty', '2.9409.aka_cavu', 2], ['2.97.s_it', '2.912673.abts_etyeg', 3], ['2.97.aba_na', '2.88529281.fro_pfnewc', 4], ['2.97.aq_jy', '2.88529281.fro_pfnewc', 4], ['2.97.ak_by', '2.88529281.fro_pfnewc', 4], ['2.97.a_fa', '2.88529281.fro_pfnewc', 4], ['2.97.k_by', '2.88529281.fro_pfnewc', 4], ['2.97.q_jy', '2.88529281.fro_pfnewc', 4], ['2.97.ba_na', '2.88529281.fro_pfnewc', 4], ['2.97.as_it', '2.832972004929.glooa_sjjxgaaty', 6], ['2.97.a_afo', '2.7837433594376961.bdevecq_mlznbkelqgos', 8], ['2.97.a_fo', '2.7837433594376961.bdevecq_mlznbkelqgos', 8], ['2.97.ai_abh', '2.693842360995438000295041.aevchnjmme_blpuxxpraijymzitkg', 12], ['2.97.i_abh', '2.693842360995438000295041.aevchnjmme_blpuxxpraijymzitkg', 12]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.97.abk_ty', 'extension_degree': 1, 'extension_label': '1.97.as', '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': '1.97.as', 'galois_group': '2T1', 'places': [['22', '1'], ['75', '1']]}