Formats: - HTML - YAML - JSON - 2026-10-22T20:00:04.780124
Query: /api/av_fq_isog/?_offset=0

Table av_fq_isog

Isogeny classes of abelian varieties over finite fields

Show schema

{'abvar_count': 10, 'abvar_counts': [10, 100, 730, 6400, 59050, 532900, 4782970, 43033600, 387420490, 3486902500], 'abvar_counts_str': '10 100 730 6400 59050 532900 4782970 43033600 387420490 3486902500 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 0, 'angles': [0.5], 'center_dim': 2, 'curve_count': 10, 'curve_counts': [10, 100, 730, 6400, 59050, 532900, 4782970, 43033600, 387420490, 3486902500], 'curve_counts_str': '10 100 730 6400 59050 532900 4782970 43033600 387420490 3486902500 ', 'curves': ['y^2=x^3+(2*a+1)*x', 'y^2=x^3+a*x'], '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, '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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 56, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 2, 'label': '1.9.a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'newton_coelevation': 0, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['2.0.4.1'], 'p': 3, 'p_rank': 0, 'p_rank_deficit': 1, 'poly': [1, 0, 9], 'poly_str': '1 0 9 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 9, 'real_poly': [1], 'simple_distinct': ['1.9.a'], 'simple_factors': ['1.9.aA'], 'simple_multiplicities': [1], 'size': 2, 'slopes': ['1/2A', '1/2B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 5, 'twists': [['1.9.ag', '1.6561.agg', 4], ['1.9.g', '1.6561.agg', 4], ['1.9.ad', '1.282429536481.acimic', 12], ['1.9.d', '1.282429536481.acimic', 12]]}