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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': 10, 'abvar_counts': [10, 80, 490, 4000, 33050, 262640, 2094410, 16776000, 134240890, 1073728400], 'abvar_counts_str': '10 80 490 4000 33050 262640 2094410 16776000 134240890 1073728400 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.556567041128661], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 10, 'curve_counts': [10, 80, 490, 4000, 33050, 262640, 2094410, 16776000, 134240890, 1073728400], 'curve_counts_str': '10 80 490 4000 33050 262640 2094410 16776000 134240890 1073728400 ', 'curves': ['y^2+x*y=x^3+a^3*x^2+a^4', 'y^2+x*y=x^3+a^5*x^2+a', 'y^2+x*y=x^3+a^3*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': 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': ['2.0.31.1'], 'geometric_splitting_field': '2.0.31.1', 'geometric_splitting_polynomials': [[8, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 46, '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': 3, 'label': '1.8.b', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.31.1'], 'p': 2, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 1, 8], 'poly_str': '1 1 8 ', 'primitive_models': [], 'principal_polarization_count': 3, 'q': 8, 'real_poly': [1, 1], 'simple_distinct': ['1.8.b'], 'simple_factors': ['1.8.bA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 3, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.31.1', 'splitting_polynomials': [[8, -1, 1]], 'twist_count': 2, 'twists': [['1.8.ab', '1.64.p', 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': 31, 'zfv_singular_count': 0, 'zfv_singular_primes': []}