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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': 156, 'abvar_counts': [156, 13104, 1971216, 213280704, 26029874676, 3129502521600, 379774427989476, 45944595684658944, 5560321723022501136, 672750156419004356784], 'abvar_counts_str': '156 13104 1971216 213280704 26029874676 3129502521600 379774427989476 45944595684658944 5560321723022501136 672750156419004356784 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.316051259389347, 0.982717926056014], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 15, 'curve_counts': [15, 109, 1476, 14569, 161625, 1766518, 19488435, 214334929, 2358119196, 25937430829], 'curve_counts_str': '15 109 1476 14569 161625 1766518 19488435 214334929 2358119196 25937430829 ', 'curves': ['y^2=5*x^6+7*x^5+9*x^4+5*x^2+x+5', 'y^2=5*x^6+5*x^4+5*x^3+3*x^2+8*x+5'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 2, 'galois_groups': ['4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 2, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.35.1'], 'geometric_splitting_field': '2.0.35.1', 'geometric_splitting_polynomials': [[9, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'id': 7454, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.11.d_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.11025.3'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 2]], 'poly': [1, 3, -2, 33, 121], 'poly_str': '1 3 -2 33 121 ', 'primitive_models': [], 'principal_polarization_count': 2, 'q': 11, 'real_poly': [1, 3, -24], 'simple_distinct': ['2.11.d_ac'], 'simple_factors': ['2.11.d_acA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-8*V-27'], 'size': 4, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.11025.3', 'splitting_polynomials': [[81, -9, -8, -1, 1]], 'twist_count': 6, 'twists': [['2.11.ad_ac', '2.121.an_bw', 2], ['2.11.ag_bf', '2.1331.fo_lpu', 3], ['2.11.a_n', '2.1771561.ahma_vrmhy', 6], ['2.11.g_bf', '2.1771561.ahma_vrmhy', 6], ['2.11.a_an', '2.3138428376721.amipke_cqbtunmseg', 12]], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 2, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 4, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-8*V-27']}