Table av_fq_isog
Isogeny classes of abelian varieties over finite fields
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| Column |
Type |
Example |
| abvar_count |
numeric |
3215 |
| abvar_counts |
numeric[] |
[3215, 13924165, 51294235115, 191705689777765, 713423064303650000, 2654361006446495177365, 987683540... |
| abvar_counts_str |
text |
'3215 13924165 51294235115 191705689777765 713423064303650000 2654361006446495177365 987683540620550... |
| all_polarized_product |
boolean |
False |
| all_unpolarized_product |
boolean |
False |
| angle_corank |
smallint |
0 |
| angle_rank |
smallint |
2 |
| angles |
double precision[] |
[0.143844801809445, 0.604843527523644] |
| center_dim |
smallint |
4 |
| cohen_macaulay_max |
smallint |
1 |
| curve_count |
integer |
53 |
| curve_counts |
numeric[] |
[53, 3743, 225983, 13845723, 844691198, 51520607903, 3142743750143, 191707361854483, 116941462610347... |
| curve_counts_str |
text |
'53 3743 225983 13845723 844691198 51520607903 3142743750143 191707361854483 11694146261034773 71334... |
| curves |
text[] |
['y^2=53*x^6+36*x^5+59*x^4+21*x^3+30*x^2+29*x+49', 'y^2=23*x^6+20*x^5+33*x^4+59*x^3+8*x^2+16*x+24', ... |
| 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 |
1 |
| 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[] |
['4.0.1354232125.1'] |
| geometric_splitting_field |
text |
'4.0.1354232125.1' |
| geometric_splitting_polynomials |
numeric[] |
[[2771, -421, 21, -1, 1]] |
| group_structure_count |
smallint |
1 |
| has_geom_ss_factor |
boolean |
False |
| has_jacobian |
smallint |
1 |
| has_principal_polarization |
smallint |
1 |
| hyp_count |
integer |
76 |
| 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 |
76 |
| label |
text |
'2.61.aj_bz' |
| 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[] |
['4.0.1354232125.1'] |
| p |
smallint |
61 |
| p_rank |
smallint |
2 |
| p_rank_deficit |
smallint |
0 |
| pic_prime_gens |
integer[] |
[[1, 5, 1, 4], [1, 3, 1, 38]] |
| poly |
integer[] |
[1, -9, 51, -549, 3721] |
| poly_str |
text |
'1 -9 51 -549 3721 ' |
| primitive_models |
text[] |
[] |
| principal_polarization_count |
integer |
76 |
| q |
integer |
61 |
| real_poly |
integer[] |
[1, -9, -71] |
| simple_distinct |
text[] |
['2.61.aj_bz'] |
| simple_factors |
text[] |
['2.61.aj_bzA'] |
| simple_multiplicities |
smallint[] |
[1] |
| singular_primes |
text[] |
[] |
| size |
integer |
152 |
| slopes |
text[] |
['0A', '0B', '1A', '1B'] |
| splitting_field |
text |
'4.0.1354232125.1' |
| splitting_polynomials |
numeric[] |
[[2771, -421, 21, -1, 1]] |
| twist_count |
integer |
2 |
| twists |
jsonb |
[['2.61.j_bz', '2.3721.v_gf', 2]] |
| weak_equivalence_count |
smallint |
1 |
| zfv_index |
numeric |
1 |
| zfv_index_factorization |
numeric[] |
[] |
| zfv_is_bass |
boolean |
True |
| zfv_is_maximal |
boolean |
True |
| zfv_pic_size |
integer |
152 |
| zfv_plus_index |
numeric |
1 |
| zfv_plus_index_factorization |
numeric[] |
[] |
| zfv_plus_norm |
numeric |
10165 |
| zfv_singular_count |
smallint |
0 |
| zfv_singular_primes |
text[] |
[] |
{'abvar_count': 3497, 'abvar_counts': [3497, 27678755, 119646763652, 584948000036075, 2867427716080048537, 14061242390714980176560, 69093321442595800037326769, 339462835625158528521589634075, 1667707175951102935574289343701956, 8193434698462575042550617395641809275], 'abvar_counts_str': '3497 27678755 119646763652 584948000036075 2867427716080048537 14061242390714980176560 69093321442595800037326769 339462835625158528521589634075 1667707175951102935574289343701956 8193434698462575042550617395641809275 ', 'angle_corank': 0, 'angle_rank': 3, 'angles': [0.195461929143564, 0.377668542368194, 0.611566608500216], 'center_dim': 6, 'curve_count': 11, 'curve_counts': [11, 329, 4958, 83853, 1422341, 24134408, 410346913, 6976048517, 118587581666, 2015986266189], 'curve_counts_str': '11 329 4958 83853 1422341 24134408 410346913 6976048517 118587581666 2015986266189 ', 'curves': [], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 3, 'galois_groups': ['6T11'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 6, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['6T11'], 'geometric_number_fields': ['6.0.1733460656.1'], 'geometric_splitting_field': '6.0.1733460656.1', 'geometric_splitting_polynomials': [[1391, -135, 408, -23, 34, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 0, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 1448870, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'label': '3.17.ah_bs_agx', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['6.0.1733460656.1'], 'p': 17, 'p_rank': 3, 'p_rank_deficit': 0, 'poly': [1, -7, 44, -179, 748, -2023, 4913], 'poly_str': '1 -7 44 -179 748 -2023 4913 ', 'primitive_models': [], 'q': 17, 'real_poly': [1, -7, -7, 59], 'simple_distinct': ['3.17.ah_bs_agx'], 'simple_factors': ['3.17.ah_bs_agxA'], 'simple_multiplicities': [1], 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '6.0.1733460656.1', 'splitting_polynomials': [[1391, -135, 408, -23, 34, -1, 1]], 'twist_count': 2, 'twists': [['3.17.h_bs_gx', '3.289.bn_bjq_wpz', 2]]}