Abelian variety isogeny class data - 2.59.ax_ji

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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': 2344, 'abvar_counts': [2344, 11963776, 42275043232, 146881144301056, 511119533535652024, 1779191427758799898624, 6193385884280799821104984, 21559180644025166337980995584, 75047499436634637739283548737952, 261240336850565768403682176752699776], 'abvar_counts_str': '2344 11963776 42275043232 146881144301056 511119533535652024 1779191427758799898624 6193385884280799821104984 21559180644025166337980995584 75047499436634637739283548737952 261240336850565768403682176752699776 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.114899283644605, 0.31017959050279], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 37, 'curve_counts': [37, 3437, 205840, 12121545, 714928187, 42180391622, 2488651352777, 146830459649809, 8662996151403760, 511116755934045677], 'curve_counts_str': '37 3437 205840 12121545 714928187 42180391622 2488651352777 146830459649809 8662996151403760 511116755934045677 ', 'curves': ['y^2=14*x^6+48*x^5+11*x^4+41*x^3+40*x^2+40*x+33', 'y^2=29*x^6+9*x^5+40*x^4+x^3+58*x^2+39*x+31', 'y^2=31*x^6+15*x^5+22*x^4+20*x^3+x^2+18*x+4', 'y^2=30*x^6+31*x^5+41*x^4+7*x^3+48*x^2+10*x+21', 'y^2=50*x^6+39*x^5+28*x^4+28*x^3+5*x^2+55*x+38', 'y^2=47*x^6+48*x^5+36*x^4+28*x^3+31*x^2+25*x', 'y^2=10*x^6+5*x^5+2*x^4+28*x^3+6*x^2+29*x+52', 'y^2=13*x^6+54*x^5+51*x^4+5*x^3+14*x^2+45*x+51', 'y^2=46*x^6+16*x^5+38*x^4+42*x^3+38*x^2+56*x+34', 'y^2=50*x^6+20*x^5+53*x^4+10*x^3+19*x^2+5*x+3', 'y^2=42*x^6+53*x^5+3*x^4+25*x^3+11*x^2+25*x+55', 'y^2=38*x^6+15*x^5+32*x^4+58*x^3+42*x^2+26*x+42', 'y^2=56*x^6+25*x^5+50*x^4+42*x^3+41*x+13', 'y^2=37*x^6+18*x^5+29*x^4+39*x^3+53*x^2+27*x+34', 'y^2=33*x^6+56*x^5+11*x^4+21*x^3+9*x^2+5*x+47', 'y^2=54*x^6+39*x^5+58*x^4+24*x^3+55*x^2+21*x+23', 'y^2=44*x^5+11*x^4+17*x^3+13*x^2+49*x+16', 'y^2=35*x^6+10*x^5+32*x^4+12*x^3+12*x^2+18*x+43', 'y^2=27*x^6+34*x^5+33*x^4+25*x^3+58*x^2+42*x+2', 'y^2=15*x^6+31*x^5+41*x^4+39*x^3+30*x^2+10*x+45'], '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': ['4.0.1294821.2'], 'geometric_splitting_field': '4.0.1294821.2', 'geometric_splitting_polynomials': [[379, 73, 44, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 20, 'label': '2.59.ax_ji', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.1294821.2'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -23, 242, -1357, 3481], 'poly_str': '1 -23 242 -1357 3481 ', 'primitive_models': [], 'q': 59, 'real_poly': [1, -23, 124], 'simple_distinct': ['2.59.ax_ji'], 'simple_factors': ['2.59.ax_jiA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2-3*F+4'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1294821.2', 'splitting_polynomials': [[379, 73, 44, -1, 1]], 'twist_count': 2, 'twists': [['2.59.x_ji', '2.3481.abt_epk', 2]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4756, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,-F^2-3*F+4']}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.59.ax_ji', 'extension_degree': 1, 'extension_label': '2.59.ax_ji', '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': '4.0.1294821.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.59.ax_ji', 'galois_group': '4T3', 'places': [['517/59', '74/59', '5/59', '1/59'], ['53', '1', '0', '0']]}