Table av_fq_isog
Isogeny classes of abelian varieties over finite fields
Show schema
Hide schema
| Column |
Type |
Example |
| abvar_count |
numeric |
62093 |
| abvar_counts |
numeric[] |
[62093, 4334277679, 281535380765300, 18446800664516771179, 1208928011576471007813203, 79228162285393... |
| abvar_counts_str |
text |
'62093 4334277679 281535380765300 18446800664516771179 1208928011576471007813203 7922816228539325835... |
| all_polarized_product |
boolean |
|
| all_unpolarized_product |
boolean |
|
| angle_corank |
smallint |
0 |
| angle_rank |
smallint |
2 |
| angles |
double precision[] |
[0.28458974144755, 0.550342784910827] |
| center_dim |
smallint |
4 |
| cohen_macaulay_max |
smallint |
|
| curve_count |
integer |
242 |
| curve_counts |
numeric[] |
[242, 66134, 16780817, 4294980474, 1099513621352, 281474975897543, 72057593021041982, 18446744065582... |
| curve_counts_str |
text |
'242 66134 16780817 4294980474 1099513621352 281474975897543 72057593021041982 18446744065582212274 ... |
| 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[] |
['4.0.245902355089.1'] |
| geometric_splitting_field |
text |
'4.0.245902355089.1' |
| geometric_splitting_polynomials |
numeric[] |
[[56048, 1016, 327, -1, 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 |
'2.256.ap_pv' |
| 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[] |
['4.0.245902355089.1'] |
| p |
smallint |
2 |
| p_rank |
smallint |
2 |
| p_rank_deficit |
smallint |
0 |
| pic_prime_gens |
integer[] |
|
| poly |
integer[] |
[1, -15, 411, -3840, 65536] |
| poly_str |
text |
'1 -15 411 -3840 65536 ' |
| primitive_models |
text[] |
[] |
| principal_polarization_count |
integer |
|
| q |
integer |
256 |
| real_poly |
integer[] |
[1, -15, -101] |
| simple_distinct |
text[] |
['2.256.ap_pv'] |
| simple_factors |
text[] |
['2.256.ap_pvA'] |
| simple_multiplicities |
smallint[] |
[1] |
| singular_primes |
text[] |
|
| size |
integer |
|
| slopes |
text[] |
['0A', '0B', '1A', '1B'] |
| splitting_field |
text |
'4.0.245902355089.1' |
| splitting_polynomials |
numeric[] |
[[56048, 1016, 327, -1, 1]] |
| twist_count |
integer |
2 |
| twists |
jsonb |
[['2.256.p_pv', '2.65536.wz_knjl', 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': 4, 'abvar_counts': [4, 24, 76, 240, 964, 4104, 16636, 65760, 261364, 1046904], 'abvar_counts_str': '4 24 76 240 964 4104 16636 65760 261364 1046904 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.419569376744834], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 4, 'curve_counts': [4, 24, 76, 240, 964, 4104, 16636, 65760, 261364, 1046904], 'curve_counts_str': '4 24 76 240 964 4104 16636 65760 261364 1046904 ', 'curves': ['y^2+x*y=x^3+a^2', 'y^2+x*y=x^3+a'], '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': 15, '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': '1.4.ab', '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, -1, 4], 'poly_str': '1 -1 4 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 4, 'real_poly': [1, -1], 'simple_distinct': ['1.4.ab'], 'simple_factors': ['1.4.abA'], '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': [['1.4.b', '1.16.h', 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': []}