Database - av_fq_isog (Isogeny clases of abelian varieties over finite fields)

Formats: - HTML - YAML - JSON - 2026-04-30T23:34:46.150463

Query: /api/av_fq_isog/?_offset=0

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': 8100, 'abvar_counts': [8100, 49280400, 325481660100, 2251996007040000, 15517024442473702500, 106889687527614334995600, 736364860578123536889620100, 5072820682608244224074557440000, 34946659078711141843260787699736100, 240747533884169298636667813617088410000], 'abvar_counts_str': '8100 49280400 325481660100 2251996007040000 15517024442473702500 106889687527614334995600 736364860578123536889620100 5072820682608244224074557440000 34946659078711141843260787699736100 240747533884169298636667813617088410000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.606810309696911, 0.606810309696911], 'center_dim': 2, 'curve_count': 96, 'curve_counts': [96, 7150, 569232, 47452078, 3939290256, 326939393950, 27136036148352, 2252292402478558, 186940255477329216, 15516041171808940750], 'curve_counts_str': '96 7150 569232 47452078 3939290256 326939393950 27136036148352 2252292402478558 186940255477329216 15516041171808940750 ', 'curves': ['y^2=59*x^6+58*x^5+35*x^4+57*x^2+15*x+41', 'y^2=14*x^6+79*x^5+27*x^4+67*x^3+8*x^2+42*x+33', 'y^2=12*x^6+27*x^5+60*x^4+60*x^2+27*x+12', 'y^2=26*x^6+58*x^5+77*x^4+58*x^3+77*x^2+58*x+26', 'y^2=53*x^6+31*x^5+43*x^4+29*x^3+56*x^2+x+79', 'y^2=31*x^6+39*x^5+81*x^4+69*x^3+77*x^2+19*x+7', 'y^2=2*x^6+2*x^5+22*x^4+12*x^3+22*x^2+2*x+2', 'y^2=56*x^6+36*x^5+59*x^4+79*x^3+59*x^2+36*x+56', 'y^2=78*x^6+66*x^5+6*x^4+6*x^3+6*x^2+66*x+78', 'y^2=68*x^6+34*x^5+60*x^4+17*x^3+60*x^2+34*x+68', 'y^2=26*x^6+72*x^5+8*x^4+69*x^3+72*x^2+22*x+30', 'y^2=33*x^6+50*x^5+68*x^4+13*x^3+10*x^2+13*x+64', 'y^2=71*x^6+29*x^5+50*x^4+76*x^3+54*x^2+43*x+21', 'y^2=28*x^6+33*x^5+68*x^4+38*x^3+5*x^2+40*x', 'y^2=74*x^6+11*x^5+18*x^4+71*x^3+71*x^2+51*x+58', 'y^2=63*x^6+71*x^5+41*x^4+28*x^3+41*x^2+71*x+63', 'y^2=21*x^6+50*x^5+81*x^4+69*x^3+74*x^2+38*x+7', 'y^2=59*x^6+43*x^5+44*x^4+48*x^3+82*x^2+51*x+35', 'y^2=79*x^6+60*x^5+32*x^4+59*x^3+18*x^2+54*x+54', 'y^2=65*x^6+54*x^5+41*x^4+61*x^3+23*x^2+56*x+1', 'y^2=22*x^6+11*x^5+55*x^4+29*x^3+14*x^2+65*x+18', 'y^2=40*x^6+57*x^5+73*x^4+68*x^3+73*x^2+57*x+40', 'y^2=21*x^6+72*x^5+40*x^4+39*x^3+74*x^2+67*x+28', 'y^2=21*x^5+43*x^4+35*x^3+21*x^2+42*x+49', 'y^2=79*x^6+76*x^5+12*x^4+24*x^3+12*x^2+76*x+79', 'y^2=17*x^6+26*x^5+70*x^4+77*x^3+32*x^2+80*x+65', 'y^2=35*x^6+23*x^5+18*x^4+20*x^3+72*x^2+72*x+68', 'y^2=77*x^6+59*x^5+49*x^4+2*x^3+67*x^2+52*x+39', 'y^2=7*x^6+63*x^5+55*x^4+40*x^3+66*x^2+21*x+36', 'y^2=64*x^6+63*x^5+80*x^4+76*x^3+43*x^2+78*x+75', 'y^2=25*x^6+58*x^5+16*x^4+72*x^3+16*x^2+58*x+25', 'y^2=x^6+39*x^5+2*x^4+7*x^3+48*x^2+57*x+62', 'y^2=19*x^6+39*x^5+7*x^4+43*x^3+7*x^2+39*x+19', 'y^2=60*x^6+75*x^5+43*x^4+78*x^3+56*x^2+9*x+64', 'y^2=14*x^6+14*x^5+9*x^4+24*x^3+9*x^2+14*x+14', 'y^2=37*x^6+7*x^5+46*x^4+63*x^3+46*x^2+7*x+37', 'y^2=61*x^6+10*x^5+36*x^4+57*x^3+33*x^2+4*x+53', 'y^2=55*x^6+22*x^5+65*x^4+64*x^2+24*x+8', 'y^2=30*x^6+77*x^5+17*x^4+6*x^3+17*x^2+77*x+30', 'y^2=56*x^6+42*x^5+73*x^4+54*x^3+74*x^2+39*x+80', 'y^2=19*x^6+66*x^5+68*x^4+41*x^3+68*x^2+66*x+19', 'y^2=16*x^6+2*x^5+34*x^4+41*x^3+9*x^2+81*x+41', 'y^2=53*x^6+53*x^5+61*x^4+24*x^3+61*x^2+53*x+53', 'y^2=49*x^6+58*x^5+5*x^4+45*x^3+14*x^2+53*x+75', 'y^2=81*x^6+43*x^5+35*x^4+63*x^3+6*x^2+23*x+25', 'y^2=46*x^6+9*x^5+16*x^4+34*x^3+16*x^2+9*x+46', 'y^2=25*x^6+13*x^5+6*x^4+11*x^3+36*x^2+59*x+10', 'y^2=66*x^6+19*x^5+18*x^4+44*x^3+2*x^2+32*x+24', 'y^2=34*x^6+32*x^5+76*x^4+42*x^3+66*x^2+24*x+70', 'y^2=78*x^6+10*x^5+13*x^4+59*x^3+13*x^2+10*x+78', 'y^2=40*x^6+65*x^5+80*x^4+71*x^3+61*x^2+29*x+17', 'y^2=19*x^6+31*x^5+77*x^4+54*x^3+3*x^2+70*x+8', 'y^2=49*x^6+16*x^5+67*x^4+57*x^3+60*x^2+22*x+46', 'y^2=46*x^6+56*x^5+23*x^4+34*x^3+36*x^2+67*x+80', 'y^2=25*x^6+27*x^5+56*x^4+7*x^3+7*x^2+16*x+37', 'y^2=20*x^6+29*x^5+36*x^4+23*x^3+6*x^2+45*x', 'y^2=68*x^6+78*x^5+15*x^4+80*x^3+54*x^2+68*x+4', 'y^2=78*x^6+72*x^5+79*x^4+44*x^3+79*x^2+72*x+78', 'y^2=27*x^6+16*x^5+37*x^4+53*x^3+38*x^2+75*x+1', 'y^2=55*x^6+20*x^5+42*x^4+12*x^3+42*x^2+20*x+55', 'y^2=80*x^6+x^5+33*x^4+35*x^3+34*x^2+67*x+8', 'y^2=11*x^6+59*x^5+3*x^4+79*x^2+68*x+74', 'y^2=22*x^6+13*x^5+7*x^4+3*x^3+28*x^2+42*x+80', 'y^2=27*x^6+59*x^5+66*x^4+24*x^3+66*x^2+59*x+27', 'y^2=68*x^6+36*x^5+40*x^4+33*x^3+40*x^2+36*x+68', 'y^2=41*x^6+17*x^5+3*x^4+5*x^3+6*x^2+66*x+66', 'y^2=60*x^6+5*x^5+46*x^4+43*x^3+43*x^2+38*x+57', 'y^2=32*x^6+36*x^5+32*x^4+45*x^3+42*x^2+69*x+25', 'y^2=57*x^6+53*x^5+46*x^4+26*x^3+9*x^2+58*x+28', 'y^2=22*x^6+68*x^5+21*x^4+17*x^3+48*x^2+2*x+30', 'y^2=43*x^6+33*x^5+70*x^4+31*x^3+37*x^2+36*x+47', 'y^2=63*x^6+58*x^5+22*x^4+x^3+22*x^2+58*x+63', 'y^2=21*x^6+35*x^5+67*x^4+6*x^3+24*x^2+58*x+64', 'y^2=21*x^6+23*x^5+42*x^4+43*x^3+45*x^2+48*x+65', 'y^2=74*x^6+68*x^5+65*x^4+27*x^3+66*x^2+69*x+59', 'y^2=36*x^6+17*x^5+58*x^4+24*x^3+20*x^2+64*x+40', 'y^2=5*x^6+50*x^5+42*x^3+20*x+20', 'y^2=56*x^6+60*x^4+60*x^2+56', 'y^2=67*x^6+41*x^5+30*x^4+9*x^3+30*x^2+41*x+67', 'y^2=52*x^6+76*x^5+49*x^4+23*x^3+7*x^2+71*x+50', 'y^2=44*x^6+50*x^5+79*x^4+33*x^3+56*x^2+6*x+29', 'y^2=20*x^6+56*x^5+21*x^4+16*x^3+5*x^2+51*x+69', 'y^2=44*x^6+x^5+72*x^4+46*x^3+72*x^2+x+44', 'y^2=36*x^5+49*x^4+9*x^3+23*x^2+81*x+37', 'y^2=37*x^6+20*x^5+4*x^4+15*x^3+4*x^2+20*x+37', 'y^2=58*x^6+38*x^5+38*x^4+31*x^3+75*x^2+41*x+2', 'y^2=22*x^6+76*x^5+26*x^4+51*x^3+49*x^2+45*x+8', 'y^2=82*x^6+12*x^5+10*x^4+49*x^3+10*x^2+12*x+82', 'y^2=69*x^6+46*x^5+27*x^4+65*x^3+27*x^2+46*x+69', 'y^2=26*x^6+46*x^5+63*x^4+65*x^3+59*x^2+43*x+27', 'y^2=8*x^6+67*x^5+3*x^4+11*x^3+18*x^2+26*x+72', 'y^2=51*x^6+69*x^5+59*x^4+41*x^3+59*x^2+69*x+51', 'y^2=4*x^6+75*x^5+71*x^4+3*x^3+57*x^2+27*x+33', 'y^2=4*x^6+70*x^5+54*x^4+2*x^3+58*x^2+27*x+77', 'y^2=49*x^6+46*x^5+62*x^4+77*x^3+82*x^2+72*x+65', 'y^2=27*x^6+62*x^5+8*x^4+4*x^3+8*x^2+62*x+27', 'y^2=79*x^6+82*x^5+69*x^4+63*x^3+65*x^2+57*x+72', 'y^2=76*x^6+31*x^5+40*x^4+21*x^3+62*x^2+44*x+62', 'y^2=37*x^6+31*x^5+60*x^4+64*x^3+71*x^2+61*x+9', 'y^2=70*x^6+36*x^5+68*x^4+19*x^3+72*x^2+79*x+56', 'y^2=25*x^6+43*x^5+71*x^4+63*x^3+71*x^2+43*x+25', 'y^2=24*x^6+15*x^5+16*x^4+54*x^3+21*x^2+32*x+34', 'y^2=56*x^6+50*x^5+58*x^4+36*x^3+26*x^2+58*x+2', 'y^2=53*x^6+79*x^5+34*x^4+65*x^3+48*x^2+31*x+26', 'y^2=55*x^6+43*x^5+61*x^4+38*x^3+61*x^2+74*x+29', 'y^2=48*x^6+55*x^5+21*x^4+65*x^3+11*x^2+74*x+3', 'y^2=36*x^6+31*x^5+48*x^4+16*x^3+48*x^2+31*x+36', 'y^2=22*x^6+15*x^5+77*x^4+18*x^3+36*x^2+42*x+62', 'y^2=74*x^6+42*x^5+58*x^4+7*x^3+34*x^2+32*x+43', 'y^2=78*x^6+26*x^5+43*x^4+47*x^3+43*x^2+26*x+78', 'y^2=68*x^6+82*x^5+65*x^4+30*x^3+29*x^2+82*x+4', 'y^2=43*x^6+3*x^5+47*x^4+42*x^3+15*x^2+25*x+8', 'y^2=59*x^6+16*x^5+10*x^4+82*x^3+10*x^2+16*x+59', 'y^2=51*x^6+45*x^5+2*x^4+54*x^3+4*x+59', 'y^2=9*x^6+8*x^5+30*x^4+44*x^3+31*x^2+79*x+41', 'y^2=65*x^6+23*x^4+23*x^2+65', 'y^2=82*x^6+5*x^5+33*x^4+79*x^3+29*x^2+47*x+35', 'y^2=20*x^6+74*x^4+74*x^2+20', 'y^2=37*x^6+74*x^5+62*x^4+58*x^3+62*x^2+74*x+37', 'y^2=54*x^6+5*x^5+61*x^4+70*x^3+61*x^2+5*x+54', 'y^2=54*x^6+32*x^5+3*x^4+41*x^3+4*x^2+20*x+45', 'y^2=47*x^6+47*x^5+73*x^4+9*x^3+73*x^2+47*x+47', 'y^2=36*x^6+30*x^5+35*x^4+23*x^3+36*x^2+61*x+52', 'y^2=42*x^6+12*x^5+68*x^4+7*x^3+29*x^2+5*x+51', 'y^2=47*x^6+22*x^4+22*x^2+47', 'y^2=78*x^6+82*x^5+2*x^4+44*x^3+2*x^2+82*x+78', 'y^2=54*x^6+79*x^5+63*x^4+44*x^3+75*x^2+6*x+34', 'y^2=45*x^6+58*x^5+80*x^4+67*x^3+8*x^2+62*x+32', 'y^2=73*x^6+63*x^5+11*x^4+79*x^3+6*x^2+67*x+19', 'y^2=25*x^6+77*x^5+30*x^4+38*x^3+29*x^2+75*x+65', 'y^2=13*x^6+44*x^5+58*x^4+62*x^3+58*x^2+44*x+13', 'y^2=59*x^6+61*x^5+50*x^4+61*x^3+50*x^2+61*x+59', 'y^2=10*x^6+72*x^5+66*x^4+75*x^3+46*x^2+24*x+4', 'y^2=11*x^6+49*x^5+2*x^4+30*x^3+29*x^2+36*x+66', 'y^2=60*x^6+53*x^5+72*x^4+43*x^3+72*x^2+53*x+60', 'y^2=62*x^6+x^5+49*x^4+48*x^3+49*x^2+x+62', 'y^2=60*x^6+73*x^5+43*x^4+23*x^3+25*x^2+24*x+52', 'y^2=35*x^6+7*x^5+81*x^4+81*x^3+81*x^2+7*x+35', 'y^2=48*x^6+81*x^5+33*x^4+18*x^3+18*x^2+21*x+43', 'y^2=54*x^6+70*x^4+70*x^2+54', 'y^2=19*x^6+28*x^5+4*x^4+68*x^3+4*x^2+28*x+19', 'y^2=17*x^6+75*x^5+80*x^4+6*x^3+53*x^2+69*x+74', 'y^2=66*x^6+80*x^5+76*x^4+31*x^3+27*x^2+66*x+31', 'y^2=81*x^6+82*x^5+61*x^4+3*x^3+30*x^2+5*x+9', 'y^2=59*x^6+80*x^5+36*x^4+49*x^3+36*x^2+80*x+59', 'y^2=65*x^6+5*x^5+71*x^4+28*x^3+82*x^2+31*x+72', 'y^2=17*x^6+54*x^5+54*x^4+32*x^3+13*x^2+60*x+51', 'y^2=63*x^6+34*x^5+54*x^4+45*x^3+55*x^2+54*x+36', 'y^2=21*x^6+25*x^5+31*x^4+6*x^3+29*x^2+27*x+77', 'y^2=75*x^6+49*x^5+69*x^4+73*x^3+41*x^2+26*x+33'], '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': ['2.0.296.1'], 'geometric_splitting_field': '2.0.296.1', 'geometric_splitting_polynomials': [[74, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 150, 'id': 90098, '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': 150, 'label': '2.83.m_hu', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3, 5], 'number_fields': ['2.0.296.1'], 'p': 83, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 12, 202, 996, 6889], 'poly_str': '1 12 202 996 6889 ', 'primitive_models': [], 'q': 83, 'real_poly': [1, 12, 36], 'simple_distinct': ['1.83.g'], 'simple_factors': ['1.83.gA', '1.83.gB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.296.1', 'splitting_polynomials': [[74, 0, 1]], 'twist_count': 6, 'twists': [['2.83.am_hu', '2.6889.ka_btjy', 2], ['2.83.a_fa', '2.6889.ka_btjy', 2], ['2.83.ag_abv', '2.571787.adui_gbzug', 3], ['2.83.a_afa', '2.47458321.ajge_ivaxsg', 4], ['2.83.g_abv', '2.326940373369.acdswa_ehhahfgdy', 6]]}