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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': 9, 'abvar_counts': [9, 171, 2268, 28899, 372069, 4826304, 62735913, 815674275, 10604381004, 137858633811], 'abvar_counts_str': '9 171 2268 28899 372069 4826304 62735913 815674275 10604381004 137858633811 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.2561228541777], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 9, 'curve_counts': [9, 171, 2268, 28899, 372069, 4826304, 62735913, 815674275, 10604381004, 137858633811], 'curve_counts_str': '9 171 2268 28899 372069 4826304 62735913 815674275 10604381004 137858633811 ', 'curves': ['y^2=x^3+3', 'y^2=x^3+9*x+5'], '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'id': 78, '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': 2, 'label': '1.13.af', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.3.1'], 'p': 13, 'p_rank': 1, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -5, 13], 'poly_str': '1 -5 13 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 13, 'real_poly': [1, -5], 'simple_distinct': ['1.13.af'], 'simple_factors': ['1.13.afA'], 'simple_multiplicities': [1], 'singular_primes': ['3,2*F-2'], 'size': 2, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 6, 'twists': [['1.13.f', '1.169.b', 2], ['1.13.ac', '1.2197.cs', 3], ['1.13.h', '1.2197.cs', 3], ['1.13.ah', '1.4826809.atm', 6], ['1.13.c', '1.4826809.atm', 6]], 'weak_equivalence_count': 2, 'zfv_index': 3, 'zfv_index_factorization': [[3, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 1, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 27, 'zfv_singular_count': 2, 'zfv_singular_primes': ['3,2*F-2']}