Abelian variety isogeny class data - 2.71.y_la

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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': 7056, 'abvar_counts': [7056, 25401600, 127508983056, 646265881497600, 3255019299989177616, 16409690487890696505600, 82721284359747998194305936, 416997557581790061411449241600, 2102085047599879818847747083651216, 10596610574738309391610084593156000000], 'abvar_counts_str': '7056 25401600 127508983056 646265881497600 3255019299989177616 16409690487890696505600 82721284359747998194305936 416997557581790061411449241600 2102085047599879818847747083651216 10596610574738309391610084593156000000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.752241693036309, 0.752241693036309], 'center_dim': 2, 'curve_count': 96, 'curve_counts': [96, 5038, 356256, 25431838, 1804105056, 128100344398, 9095128257696, 645753429760318, 45848501361223776, 3255243550502050798], 'curve_counts_str': '96 5038 356256 25431838 1804105056 128100344398 9095128257696 645753429760318 45848501361223776 3255243550502050798 ', 'curves': ['y^2=37*x^6+65*x^5+44*x^4+70*x^3+70*x^2+52*x+60', 'y^2=22*x^6+10*x^5+51*x^4+43*x^3+6*x^2+25*x+57', 'y^2=47*x^6+53*x^5+42*x^4+11*x^3+56*x^2+39*x+22', 'y^2=65*x^6+57*x^5+24*x^4+69*x^3+24*x^2+57*x+65', 'y^2=52*x^6+11*x^5+11*x^4+23*x^3+17*x^2+55*x+12', 'y^2=15*x^6+51*x^5+66*x^4+39*x^3+7*x^2+46*x+27', 'y^2=19*x^6+55*x^4+55*x^2+19', 'y^2=9*x^6+15*x^5+29*x^4+18*x^3+13*x^2+55*x+45', 'y^2=69*x^6+26*x^5+52*x^4+46*x^3+47*x^2+11*x+34', 'y^2=37*x^6+36*x^4+36*x^2+37', 'y^2=12*x^6+52*x^5+2*x^4+24*x^3+40*x^2+68*x+8', 'y^2=46*x^6+4*x^5+43*x^4+57*x^3+9*x^2+37*x+42', 'y^2=6*x^6+65*x^5+12*x^4+49*x^3+12*x^2+65*x+6', 'y^2=4*x^6+63*x^5+21*x^4+47*x^3+12*x^2+34*x+48', 'y^2=7*x^6+38*x^5+30*x^4+64*x^3+49*x^2+40*x+22', 'y^2=46*x^6+4*x^5+38*x^4+67*x^3+15*x^2+2*x+67', 'y^2=36*x^6+38*x^5+22*x^4+69*x^3+22*x^2+38*x+36', 'y^2=29*x^6+8*x^5+11*x^4+13*x^3+11*x^2+8*x+29', 'y^2=4*x^6+x^5+15*x^4+60*x^3+4*x^2+25*x+3', 'y^2=56*x^6+64*x^5+55*x^4+30*x^3+7*x^2+30*x+34', 'y^2=64*x^6+43*x^5+22*x^4+36*x^3+28*x^2+x+10', 'y^2=17*x^6+32*x^5+51*x^4+34*x^3+24*x^2+14*x+13', 'y^2=33*x^6+33*x^4+33*x^2+33', 'y^2=64*x^6+43*x^5+64*x^4+x^2+40*x+29', 'y^2=10*x^6+28*x^5+43*x^4+37*x^3+43*x^2+28*x+10', 'y^2=10*x^6+14*x^5+20*x^4+62*x^3+20*x^2+14*x+10', 'y^2=2*x^6+26*x^5+17*x^4+10*x^3+17*x^2+26*x+2', 'y^2=64*x^6+16*x^5+3*x^4+46*x^3+25*x^2+54*x+25', 'y^2=12*x^6+51*x^4+48*x^3+23*x^2+61*x+26', 'y^2=40*x^6+4*x^5+9*x^4+34*x^3+64*x^2+63*x+55', 'y^2=9*x^6+34*x^4+34*x^2+9', 'y^2=4*x^6+3*x^5+44*x^4+5*x^3+44*x^2+3*x+4', 'y^2=25*x^6+31*x^5+18*x^4+70*x^3+4*x^2+46*x+62', 'y^2=57*x^6+15*x^5+45*x^4+32*x^3+58*x^2+57*x+16', 'y^2=40*x^6+15*x^5+8*x^4+41*x^3+48*x^2+38*x+59', 'y^2=8*x^6+32*x^5+45*x^4+23*x^3+45*x^2+32*x+8', 'y^2=47*x^6+65*x^5+31*x^4+14*x^3+42*x^2+69*x+51', 'y^2=20*x^6+62*x^5+20*x^4+41*x^3+49*x^2+31*x+60', 'y^2=23*x^6+11*x^5+38*x^4+20*x^3+34*x^2+61*x+27', 'y^2=58*x^6+50*x^5+x^4+4*x^3+48*x^2+38*x+54', 'y^2=24*x^6+17*x^5+14*x^4+9*x^3+14*x^2+17*x+24', 'y^2=38*x^6+7*x^5+39*x^4+12*x^3+55*x^2+55*x+58', 'y^2=61*x^6+57*x^5+23*x^4+44*x^3+23*x^2+57*x+61', 'y^2=13*x^6+14*x^5+20*x^4+18*x^3+20*x^2+14*x+13', 'y^2=6*x^6+x^5+9*x^4+12*x^3+9*x^2+x+6', 'y^2=47*x^6+4*x^5+67*x^4+25*x^3+67*x^2+4*x+47', 'y^2=7*x^6+35*x^5+68*x^4+12*x^3+68*x^2+35*x+7', 'y^2=3*x^6+x^4+32*x^3+x^2+3', 'y^2=41*x^6+45*x^5+55*x^4+64*x^3+55*x^2+45*x+41', 'y^2=7*x^6+65*x^5+10*x^4+50*x^3+43*x^2+41*x+44', 'y^2=32*x^6+55*x^5+42*x^4+61*x^3+42*x^2+55*x+32', 'y^2=19*x^6+35*x^5+27*x^4+52*x^3+27*x^2+35*x+19', 'y^2=23*x^6+64*x^5+56*x^4+61*x^3+37*x^2+x+60', 'y^2=49*x^6+47*x^4+47*x^2+49', 'y^2=60*x^6+40*x^4+40*x^2+60', 'y^2=34*x^6+9*x^5+26*x^4+36*x^3+67*x^2+8*x+20'], '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': ['2.0.35.1'], 'geometric_splitting_field': '2.0.35.1', 'geometric_splitting_polynomials': [[9, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 56, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 56, 'label': '2.71.y_la', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.35.1'], 'p': 71, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 24, 286, 1704, 5041], 'poly_str': '1 24 286 1704 5041 ', 'primitive_models': [], 'q': 71, 'real_poly': [1, 24, 144], 'simple_distinct': ['1.71.m'], 'simple_factors': ['1.71.mA', '1.71.mB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.35.1', 'splitting_polynomials': [[9, -1, 1]], 'twist_count': 6, 'twists': [['2.71.ay_la', '2.5041.ae_oxy', 2], ['2.71.a_ac', '2.5041.ae_oxy', 2], ['2.71.am_cv', '2.357911.acls_dbtcg', 3], ['2.71.a_c', '2.25411681.bdvg_mvmieo', 4], ['2.71.m_cv', '2.128100283921.dlma_bgaiefrvy', 6]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  {'base_label': '2.71.y_la', 'extension_degree': 1, 'extension_label': '1.71.m', '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': '2.0.35.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.71.m', 'galois_group': '2T1', 'places': [['38', '1'], ['32', '1']]}