Table av_fq_isog
Isogeny classes of abelian varieties over finite fields
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| Column |
Type |
Example |
| abvar_count |
numeric |
534703 |
| abvar_counts |
numeric[] |
[534703, 282784632689, 150096463456785664, 79766970688872991330105, 42391155567790240485696478823, 2... |
| abvar_counts_str |
text |
'534703 282784632689 150096463456785664 79766970688872991330105 42391155567790240485696478823 225283... |
| all_polarized_product |
boolean |
|
| all_unpolarized_product |
boolean |
|
| angle_corank |
smallint |
0 |
| angle_rank |
smallint |
2 |
| angles |
double precision[] |
[0.301883555143567, 0.728200962804676] |
| center_dim |
smallint |
4 |
| cohen_macaulay_max |
smallint |
|
| curve_count |
integer |
734 |
| curve_counts |
numeric[] |
[734, 532108, 387425210, 282431404596, 205891118944854, 150094634344868206, 109418989131849141366, 7... |
| curve_counts_str |
text |
'734 532108 387425210 282431404596 205891118944854 150094634344868206 109418989131849141366 79766443... |
| curves |
text[] |
|
| 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 |
|
| 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[] |
['4.0.4008364346545.1'] |
| geometric_splitting_field |
text |
'4.0.4008364346545.1' |
| geometric_splitting_polynomials |
numeric[] |
[[199583, -896, 897, -2, 1]] |
| group_structure_count |
smallint |
|
| has_geom_ss_factor |
boolean |
False |
| has_jacobian |
smallint |
1 |
| has_principal_polarization |
smallint |
1 |
| hyp_count |
integer |
|
| is_cyclic |
boolean |
True |
| 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 |
|
| label |
text |
'2.729.e_nd' |
| 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[] |
[] |
| number_fields |
text[] |
['4.0.4008364346545.1'] |
| p |
smallint |
3 |
| p_rank |
smallint |
2 |
| p_rank_deficit |
smallint |
0 |
| pic_prime_gens |
integer[] |
|
| poly |
integer[] |
[1, 4, 341, 2916, 531441] |
| poly_str |
text |
'1 4 341 2916 531441 ' |
| primitive_models |
text[] |
[] |
| principal_polarization_count |
integer |
|
| q |
integer |
729 |
| real_poly |
integer[] |
[1, 4, -1117] |
| simple_distinct |
text[] |
['2.729.e_nd'] |
| simple_factors |
text[] |
['2.729.e_ndA'] |
| simple_multiplicities |
smallint[] |
[1] |
| singular_primes |
text[] |
|
| size |
integer |
|
| slopes |
text[] |
['0A', '0B', '1A', '1B'] |
| splitting_field |
text |
'4.0.4008364346545.1' |
| splitting_polynomials |
numeric[] |
[[199583, -896, 897, -2, 1]] |
| twist_count |
integer |
2 |
| twists |
jsonb |
[['2.729.ae_nd', '2.531441.zq_cntvf', 2]] |
| 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': 11, 'abvar_counts': [11, 55, 308, 2475, 16841, 117040, 825143, 5764275, 40343996, 282507775], 'abvar_counts_str': '11 55 308 2475 16841 117040 825143 5764275 40343996 282507775 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.691875465478783], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 11, 'curve_counts': [11, 55, 308, 2475, 16841, 117040, 825143, 5764275, 40343996, 282507775], 'curve_counts_str': '11 55 308 2475 16841 117040 825143 5764275 40343996 282507775 ', 'curves': ['y^2=x^3+2*x+6'], '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': ['2.0.19.1'], 'geometric_splitting_field': '2.0.19.1', 'geometric_splitting_polynomials': [[5, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 38, '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': 1, 'label': '1.7.d', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.19.1'], 'p': 7, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 3, 7], 'poly_str': '1 3 7 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 7, 'real_poly': [1, 3], 'simple_distinct': ['1.7.d'], 'simple_factors': ['1.7.dA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 1, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.19.1', 'splitting_polynomials': [[5, -1, 1]], 'twist_count': 2, 'twists': [['1.7.ad', '1.49.f', 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': 19, 'zfv_singular_count': 0, 'zfv_singular_primes': []}