Database - av_fq_isog ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-03-12T08:46:46.184989

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': 1296, 'abvar_counts': [1296, 1876608, 2554707600, 3521657585664, 4809483015380496, 6582952006721654400, 9012121533700050343824, 12337496216298159016771584, 16890050178529967146752867600, 23122483666661152105222300864128], 'abvar_counts_str': '1296 1876608 2554707600 3521657585664 4809483015380496 6582952006721654400 9012121533700050343824 12337496216298159016771584 16890050178529967146752867600 23122483666661152105222300864128 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.212913376855129, 0.712913376855129], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 36, 'curve_counts': [36, 1370, 50436, 1879054, 69356916, 2565726410, 94932511668, 3512474984734, 129961711848132, 4808584372417850], 'curve_counts_str': '36 1370 50436 1879054 69356916 2565726410 94932511668 3512474984734 129961711848132 4808584372417850 ', 'curves': ['y^2=16*x^6+3*x^5+2*x^4+3*x^3+15*x^2+11*x+27', 'y^2=17*x^6+16*x^5+27*x^4+21*x^3+10*x^2+3*x+32', 'y^2=18*x^6+6*x^5+14*x^4+20*x^3+25*x^2+12*x+20', 'y^2=25*x^6+19*x^5+9*x^4+22*x^3+32*x^2+34*x+28', 'y^2=22*x^6+35*x^5+31*x^4+27*x^3+36*x^2+11*x', 'y^2=16*x^6+29*x^5+25*x^4+5*x^3+2*x^2+5*x+28', 'y^2=26*x^6+2*x^5+10*x^4+27*x^3+33*x^2+24*x+3', 'y^2=3*x^6+20*x^5+13*x^4+6*x^3+11*x^2+x+5', 'y^2=31*x^6+14*x^5+17*x^4+5*x^3+25*x^2+36*x+7', 'y^2=2*x^6+2*x^5+18*x^4+35*x^3+33*x^2+31*x+20', 'y^2=29*x^6+4*x^5+25*x^4+x^3+9*x^2+6*x+31', 'y^2=x^6+16*x^5+14*x^4+27*x^3+36*x^2+29*x+16', 'y^2=23*x^6+16*x^5+23*x^4+11*x^3+7*x^2+27*x+34', 'y^2=29*x^6+24*x^5+3*x^4+6*x^3+26*x^2+25*x+13', 'y^2=23*x^6+36*x^5+36*x^4+14*x^3+35*x^2+2*x+9', 'y^2=34*x^6+16*x^5+7*x^4+11*x^3+36*x^2+10*x+19', 'y^2=9*x^6+27*x^5+27*x^4+5*x^3+7*x^2+6*x+23', 'y^2=29*x^6+12*x^5+13*x^4+9*x^3+12*x^2+35*x+17', 'y^2=17*x^6+35*x^5+24*x^3+24*x^2+x+19', 'y^2=8*x^6+30*x^5+4*x^4+24*x^3+2*x^2+x+28', 'y^2=12*x^6+3*x^3+2*x^2+4*x+13', 'y^2=21*x^6+21*x^5+27*x^4+6*x^3+10*x^2+5*x+15', 'y^2=7*x^6+7*x^5+17*x^4+10*x^3+29*x+11', 'y^2=15*x^6+26*x^5+35*x^4+10*x^3+30*x^2+25*x+18', 'y^2=22*x^6+4*x^5+17*x^4+17*x^2+33*x+22', 'y^2=26*x^6+2*x^5+8*x^4+x^3+18*x^2+26*x+4', 'y^2=28*x^6+19*x^5+28*x^4+29*x^3+8*x^2+19*x+3', 'y^2=32*x^6+11*x^5+3*x^4+29*x^3+33*x^2+12*x+15', 'y^2=16*x^6+24*x^5+22*x^4+34*x^3+34*x^2+6*x+19', 'y^2=26*x^6+2*x^5+36*x^4+35*x^3+21*x^2+29*x+7', 'y^2=29*x^5+17*x^4+29*x^3+9*x^2+14*x+28', 'y^2=23*x^6+23*x^5+24*x^4+24*x^3+10*x^2+16*x+7', 'y^2=15*x^6+x^5+2*x^4+10*x^3+29*x^2+6*x+26', 'y^2=20*x^6+33*x^5+27*x^4+8*x^3+24*x^2+15*x+16', 'y^2=13*x^6+2*x^5+33*x^4+4*x^3+7*x^2+19*x+21', 'y^2=3*x^6+7*x^5+19*x^4+34*x^3+20*x^2+31*x+14', 'y^2=34*x^6+6*x^5+25*x^4+21*x^3+x^2+16*x+30', 'y^2=34*x^6+10*x^5+14*x^4+9*x^3+22*x^2+7*x+16', 'y^2=29*x^6+33*x^5+26*x^4+3*x^3+18*x^2+20*x+13', 'y^2=20*x^6+32*x^5+3*x^4+18*x^3+24*x^2+10*x+7', 'y^2=21*x^6+7*x^5+31*x^4+36*x^3+4*x^2+22*x+2', 'y^2=33*x^6+22*x^5+33*x^4+7*x^3+10*x^2+x+4', 'y^2=30*x^6+12*x^5+2*x^4+15*x^3+23*x^2+7*x+31', 'y^2=16*x^6+24*x^5+25*x^4+24*x^3+24*x^2+16*x+18', 'y^2=10*x^6+32*x^5+29*x^4+29*x^3+17*x^2+7*x+22', 'y^2=26*x^6+21*x^5+34*x^4+31*x^3+19*x^2+9*x+36', 'y^2=20*x^6+17*x^5+33*x^3+26*x^2+14*x+28', 'y^2=12*x^6+28*x^5+3*x^4+28*x^3+32*x^2+34*x+26', 'y^2=20*x^6+29*x^5+20*x^4+13*x^3+18*x^2+22*x+33', 'y^2=2*x^6+27*x^5+21*x^4+28*x^3+31*x^2+25*x+32', 'y^2=33*x^6+15*x^5+12*x^4+34*x^3+2*x^2+12*x+30', 'y^2=36*x^6+15*x^5+22*x^4+19*x^3+7*x^2+14*x+30', 'y^2=31*x^6+23*x^5+36*x^4+20*x^3+29*x^2+30*x+16', 'y^2=12*x^6+9*x^5+18*x^4+23*x^3+10*x^2+11*x+28', 'y^2=32*x^6+3*x^5+12*x^4+28*x^3+35*x^2+30*x+24', 'y^2=26*x^6+2*x^5+6*x^4+33*x^3+19*x^2+12*x+4', 'y^2=12*x^6+7*x^5+25*x^4+34*x^3+36*x^2+26', 'y^2=36*x^6+17*x^5+2*x^4+30*x^3+35*x^2+13*x+34', 'y^2=2*x^6+16*x^5+6*x^4+4*x^3+21*x^2+13*x+3', 'y^2=12*x^6+9*x^5+32*x^4+24*x^3+29*x^2+15*x+4', 'y^2=x^6+28*x^5+5*x^4+21*x^3+19*x^2+16*x+36', 'y^2=24*x^6+31*x^5+8*x^4+20*x^3+17*x^2+8*x+32', 'y^2=29*x^6+10*x^5+20*x^4+14*x^3+36*x^2+18*x+35', 'y^2=7*x^6+2*x^5+7*x^4+19*x^3+15*x^2+23*x+17', 'y^2=30*x^6+5*x^5+19*x^4+21*x^3+33*x^2+26*x+4', 'y^2=9*x^6+14*x^5+30*x^4+7*x^3+12*x^2+10*x+35', 'y^2=x^6+17*x^5+35*x^4+6*x^3+20*x^2+29*x+33', 'y^2=6*x^6+35*x^5+29*x^4+26*x^3+31*x^2+33*x+15', 'y^2=19*x^6+7*x^5+31*x^4+3*x^3+25*x^2+36*x+14', 'y^2=13*x^6+32*x^5+18*x^4+31*x^3+33*x^2+23*x+22', 'y^2=11*x^6+20*x^5+4*x^4+7*x^3+17*x^2+30*x+21', 'y^2=33*x^6+23*x^5+16*x^4+15*x^3+27*x^2+32*x+18', 'y^2=29*x^6+5*x^5+22*x^4+23*x^3+18*x^2+23*x+24', 'y^2=33*x^6+9*x^5+7*x^4+24*x^3+29*x^2+25*x+20', 'y^2=11*x^6+x^5+12*x^4+11*x^3+5*x^2+18*x+25', 'y^2=12*x^5+22*x^4+34*x^3+27*x^2+9*x+35', 'y^2=34*x^6+29*x^5+24*x^4+x^3+6*x^2+15*x+36', 'y^2=29*x^5+8*x^4+8*x^2+8*x', 'y^2=6*x^6+27*x^5+5*x^4+7*x^3+30*x+36', 'y^2=28*x^6+23*x^5+33*x^4+16*x^3+10*x+2', 'y^2=3*x^6+5*x^5+26*x^4+29*x^3+16*x^2+30*x+32', 'y^2=10*x^6+27*x^5+22*x^4+34*x^3+23*x^2+16*x+8', 'y^2=35*x^6+2*x^5+3*x^4+30*x^3+31*x^2+19*x+10', 'y^2=20*x^6+7*x^5+17*x^4+29*x^2+15*x+11', 'y^2=18*x^6+23*x^5+13*x^4+14*x^3+4*x^2+12*x+23', 'y^2=26*x^6+2*x^5+14*x^4+3*x^3+6*x^2+13*x+22', 'y^2=23*x^6+33*x^5+32*x^4+34*x^3+16*x^2+24*x+28', 'y^2=2*x^6+28*x^5+15*x^4+34*x^3+30*x+9', 'y^2=19*x^6+10*x^5+3*x^4+26*x^3+35*x^2+15*x+14', 'y^2=27*x^6+22*x^5+18*x^4+24*x^3+24*x^2+29*x+5', 'y^2=19*x^6+2*x^5+36*x^4+5*x^3+20*x^2+4*x+10', 'y^2=15*x^6+35*x^5+19*x^4+16*x^3+23*x^2+17*x+29', 'y^2=14*x^6+12*x^5+5*x^4+10*x^3+29*x^2+3*x+14', 'y^2=7*x^5+6*x^4+2*x^3+15*x^2+11*x+12', 'y^2=6*x^6+13*x^5+25*x^4+29*x^3+20*x^2+4*x+8', 'y^2=3*x^6+7*x^5+29*x^4+35*x^3+19*x^2+8*x+28', 'y^2=6*x^6+18*x^5+30*x^4+18*x^3+28*x^2+24*x+10', 'y^2=4*x^6+18*x^5+20*x^4+7*x^3+29*x^2+15*x+22', 'y^2=16*x^6+25*x^5+10*x^4+31*x^3+12*x^2+17*x+23', 'y^2=5*x^6+14*x^5+4*x^4+5*x^3+14*x^2+25*x+4', 'y^2=8*x^6+6*x^5+8*x^4+5*x^2+16*x+24', 'y^2=25*x^6+25*x^5+23*x^4+14*x^3+27*x^2+21*x', 'y^2=6*x^6+27*x^5+29*x^4+10*x^2+24*x+16', 'y^2=13*x^6+33*x^5+36*x^4+13*x^3+21*x^2+3*x+29', 'y^2=8*x^6+30*x^5+8*x^4+6*x^3+21*x^2+13*x+1', 'y^2=19*x^5+3*x^4+27*x^3+24*x^2+31*x+22', 'y^2=6*x^6+20*x^5+30*x^4+9*x^3+14*x+13', 'y^2=17*x^6+35*x^5+36*x^4+24*x^3+25*x^2+27*x+8', 'y^2=8*x^6+35*x^5+28*x^4+19*x^3+26*x^2+x+30', 'y^2=30*x^6+14*x^5+35*x^4+23*x^3+6*x^2+3*x+19', 'y^2=18*x^6+27*x^5+17*x^4+3*x^3+32*x^2+5*x+30', 'y^2=22*x^6+32*x^5+20*x^4+18*x^3+21*x^2+34*x+22', 'y^2=27*x^6+30*x^5+10*x^4+x^3+6*x^2+2*x+11', 'y^2=35*x^5+35*x^4+16*x^3+4*x^2+16*x+5', 'y^2=23*x^6+31*x^5+16*x^4+26*x^3+12*x^2+29*x+11', 'y^2=13*x^6+31*x^5+36*x^4+13*x^3+28*x^2+33*x+18', 'y^2=11*x^6+13*x^5+19*x^4+7*x^3+24*x^2+19*x+9', 'y^2=3*x^6+18*x^5+6*x^4+36*x^3+25*x^2+16*x+12', 'y^2=19*x^6+20*x^5+32*x^4+22*x^3+20*x^2+3*x+11', 'y^2=24*x^6+25*x^5+2*x^4+2*x^3+35*x^2+32*x+23'], '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': 15, 'g': 2, 'galois_groups': ['4T2'], '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': 4, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.292.1'], 'geometric_splitting_field': '2.0.292.1', 'geometric_splitting_polynomials': [[73, 0, 1]], 'group_structure_count': 12, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 120, 'id': 19358, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 120, 'label': '2.37.ac_c', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 8, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 3], 'number_fields': ['4.0.85264.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -2, 2, -74, 1369], 'poly_str': '1 -2 2 -74 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, -2, -72], 'simple_distinct': ['2.37.ac_c'], 'simple_factors': ['2.37.ac_cA'], 'simple_multiplicities': [1], 'singular_primes': ['2,2*F+9*V-17', '3,F+12*V-22'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.85264.1', 'splitting_polynomials': [[324, 0, 37, 0, 1]], 'twist_count': 4, 'twists': [['2.37.c_c', '2.1369.a_dqc', 2], ['2.37.a_acu', '2.3512479453921.ajuhfw_cfojaceeqw', 8], ['2.37.a_cu', '2.3512479453921.ajuhfw_cfojaceeqw', 8]], 'weak_equivalence_count': 18, 'zfv_index': 72, 'zfv_index_factorization': [[2, 3], [3, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 5184, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,2*F+9*V-17', '3,F+12*V-22']}