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Query: /api/av_fq_isog/?_offset=0

Table av_fq_isog

Isogeny classes of abelian varieties over finite fields

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{'abvar_count': 18, 'abvar_counts': [18, 288, 4050, 65088, 1049778, 16783200, 268410258, 4294896768, 68719950450, 1099512282528], 'abvar_counts_str': '18 288 4050 65088 1049778 16783200 268410258 4294896768 68719950450 1099512282528 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.539893087674768], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 288, 4050, 65088, 1049778, 16783200, 268410258, 4294896768, 68719950450, 1099512282528], 'curve_counts_str': '18 288 4050 65088 1049778 16783200 268410258 4294896768 68719950450 1099512282528 ', 'curves': ['y^2+x*y=x^3+a^13*x^2+a^8', 'y^2+x*y=x^3+a^9*x^2+a^4', 'y^2+x*y=x^3+a^9*x^2+a', 'y^2+x*y=x^3+a^13*x^2+1', 'y^2+x*y=x^3+a^7*x^2+a^2'], '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 98, 'is_cyclic': False, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 5, 'label': '1.16.b', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.7.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 1, 16], 'poly_str': '1 1 16 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 16, 'real_poly': [1, 1], 'simple_distinct': ['1.16.b'], 'simple_factors': ['1.16.bA'], 'simple_multiplicities': [1], 'singular_primes': ['3,-F+4'], 'size': 5, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.7.1', 'splitting_polynomials': [[2, -1, 1]], 'twist_count': 2, 'twists': [['1.16.ab', '1.256.bf', 2]], 'weak_equivalence_count': 2, 'zfv_index': 3, 'zfv_index_factorization': [[3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 63, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,-F+4']}