Formats: - HTML - YAML - JSON - 2026-10-22T19:59:20.012645
Query: /api/av_fq_isog/?_offset=0

Table av_fq_isog

Isogeny classes of abelian varieties over finite fields

Show schema

{'abvar_count': 12, 'abvar_counts': [12, 144, 1332, 14400, 161052, 1774224, 19487172, 214329600, 2357947692, 25937746704], 'abvar_counts_str': '12 144 1332 14400 161052 1774224 19487172 214329600 2357947692 25937746704 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 0, 'angles': [0.5], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 12, 'curve_counts': [12, 144, 1332, 14400, 161052, 1774224, 19487172, 214329600, 2357947692, 25937746704], 'curve_counts_str': '12 144 1332 14400 161052 1774224 19487172 214329600 2357947692 25937746704 ', 'curves': ['y^2=x^3+2', 'y^2=x^3+2*x', 'y^2=x^3+1', 'y^2=x^3+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, 'endomorphism_ring_count': 2, '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]], 'group_structure_count': 2, 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 69, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 4, 'label': '1.11.a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 1, 'newton_coelevation': 0, 'newton_elevation': 1, 'noncyclic_primes': [2], 'number_fields': ['2.0.11.1'], 'p': 11, 'p_rank': 0, 'p_rank_deficit': 1, 'poly': [1, 0, 11], 'poly_str': '1 0 11 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 11, 'real_poly': [1], 'simple_distinct': ['1.11.a'], 'simple_factors': ['1.11.aA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-1'], 'size': 4, 'slopes': ['1/2A', '1/2B'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 1, 'twists': [], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 44, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-1']}