Table av_fq_isog
Isogeny classes of abelian varieties over finite fields
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| Column |
Type |
Example |
| abvar_count |
numeric |
9852 |
| abvar_counts |
numeric[] |
[9852, 107110944, 1062302697792, 10828034272665216, 110462767208508483852, 1126823392993067732035584... |
| abvar_counts_str |
text |
'9852 107110944 1062302697792 10828034272665216 110462767208508483852 1126823392993067732035584 1149... |
| all_polarized_product |
boolean |
|
| all_unpolarized_product |
boolean |
|
| angle_corank |
smallint |
0 |
| angle_rank |
smallint |
2 |
| angles |
double precision[] |
[0.344265769064274, 0.570999908362355] |
| center_dim |
smallint |
4 |
| cohen_macaulay_max |
smallint |
1 |
| curve_count |
integer |
97 |
| curve_counts |
numeric[] |
[97, 10497, 1031062, 104055281, 10510153277, 1061518608342, 107213508716537, 10828567249462273, 1093... |
| curve_counts_str |
text |
'97 10497 1031062 104055281 10510153277 1061518608342 107213508716537 10828567249462273 109368527657... |
| curves |
text[] |
['y^2=19*x^6+88*x^5+26*x^4+30*x^3+4*x^2+28*x+46', 'y^2=55*x^6+67*x^5+29*x^4+12*x^3+17*x^2+29*x+11', ... |
| dim1_distinct |
smallint |
0 |
| dim1_factors |
smallint |
0 |
| dim2_distinct |
smallint |
1 |
| dim2_factors |
smallint |
1 |
| dim3_distinct |
smallint |
0 |
| dim3_factors |
smallint |
0 |
| dim4_distinct |
smallint |
0 |
| dim4_factors |
smallint |
0 |
| dim5_distinct |
smallint |
0 |
| dim5_factors |
smallint |
0 |
| endomorphism_ring_count |
smallint |
2 |
| g |
smallint |
2 |
| galois_groups |
text[] |
['4T3'] |
| geom_dim1_distinct |
smallint |
0 |
| geom_dim1_factors |
smallint |
0 |
| geom_dim2_distinct |
smallint |
1 |
| geom_dim2_factors |
smallint |
1 |
| geom_dim3_distinct |
smallint |
0 |
| geom_dim3_factors |
smallint |
0 |
| geom_dim4_distinct |
smallint |
0 |
| geom_dim4_factors |
smallint |
0 |
| geom_dim5_distinct |
smallint |
0 |
| geom_dim5_factors |
smallint |
0 |
| geometric_center_dim |
smallint |
4 |
| geometric_extension_degree |
smallint |
1 |
| geometric_galois_groups |
text[] |
['4T3'] |
| geometric_number_fields |
text[] |
['4.0.1126260764.1'] |
| geometric_splitting_field |
text |
'4.0.1126260764.1' |
| geometric_splitting_polynomials |
numeric[] |
[[9852, -196, 151, -1, 1]] |
| group_structure_count |
smallint |
2 |
| has_geom_ss_factor |
boolean |
False |
| has_jacobian |
smallint |
1 |
| has_principal_polarization |
smallint |
1 |
| hyp_count |
integer |
300 |
| is_cyclic |
boolean |
False |
| is_geometrically_simple |
boolean |
True |
| is_geometrically_squarefree |
boolean |
True |
| is_primitive |
boolean |
True |
| is_simple |
boolean |
True |
| is_squarefree |
boolean |
True |
| is_supersingular |
boolean |
False |
| jacobian_count |
integer |
300 |
| label |
text |
'2.101.af_ge' |
| max_divalg_dim |
smallint |
1 |
| max_geom_divalg_dim |
smallint |
1 |
| max_twist_degree |
integer |
2 |
| newton_coelevation |
smallint |
2 |
| newton_elevation |
smallint |
0 |
| noncyclic_primes |
integer[] |
[2] |
| number_fields |
text[] |
['4.0.1126260764.1'] |
| p |
smallint |
101 |
| p_rank |
smallint |
2 |
| p_rank_deficit |
smallint |
0 |
| pic_prime_gens |
integer[] |
|
| poly |
integer[] |
[1, -5, 160, -505, 10201] |
| poly_str |
text |
'1 -5 160 -505 10201 ' |
| primitive_models |
text[] |
[] |
| principal_polarization_count |
integer |
|
| q |
integer |
101 |
| real_poly |
integer[] |
[1, -5, -42] |
| simple_distinct |
text[] |
['2.101.af_ge'] |
| simple_factors |
text[] |
['2.101.af_geA'] |
| simple_multiplicities |
smallint[] |
[1] |
| singular_primes |
text[] |
['2,-11*F-8*V+41'] |
| size |
integer |
|
| slopes |
text[] |
['0A', '0B', '1A', '1B'] |
| splitting_field |
text |
'4.0.1126260764.1' |
| splitting_polynomials |
numeric[] |
[[9852, -196, 151, -1, 1]] |
| twist_count |
integer |
2 |
| twists |
jsonb |
[['2.101.f_ge', '2.10201.lj_cipc', 2]] |
| weak_equivalence_count |
smallint |
2 |
| zfv_index |
numeric |
2 |
| zfv_index_factorization |
numeric[] |
[[2, 1]] |
| zfv_is_bass |
boolean |
True |
| zfv_is_maximal |
boolean |
False |
| zfv_pic_size |
integer |
|
| zfv_plus_index |
numeric |
1 |
| zfv_plus_index_factorization |
numeric[] |
[] |
| zfv_plus_norm |
numeric |
120944 |
| zfv_singular_count |
smallint |
2 |
| zfv_singular_primes |
text[] |
['2,-11*F-8*V+41'] |
{'abvar_count': 10, 'abvar_counts': [10, 240, 4090, 65760, 1050250, 16785360, 268465690, 4295048640, 68719562410, 1099510926000], 'abvar_counts_str': '10 240 4090 65760 1050250 16785360 268465690 4295048640 68719562410 1099510926000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.160861246510332], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 10, 'curve_counts': [10, 240, 4090, 65760, 1050250, 16785360, 268465690, 4295048640, 68719562410, 1099510926000], 'curve_counts_str': '10 240 4090 65760 1050250 16785360 268465690 4295048640 68719562410 1099510926000 ', 'curves': ['y^2+x*y=x^3+a^9*x^2+a^5', 'y^2+x*y=x^3+a^13*x^2+a^10'], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 1, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, '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': ['2.0.15.1'], 'geometric_splitting_field': '2.0.15.1', 'geometric_splitting_polynomials': [[4, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 92, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '1.16.ah', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.15.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, -7, 16], 'poly_str': '1 -7 16 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 16, 'real_poly': [1, -7], 'simple_distinct': ['1.16.ah'], 'simple_factors': ['1.16.ahA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 2, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.15.1', 'splitting_polynomials': [[4, -1, 1]], 'twist_count': 2, 'twists': [['1.16.h', '1.256.ar', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 15, 'zfv_singular_count': 0, 'zfv_singular_primes': []}