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av_fq_isog • Show schema
{'abvar_count': 96, 'abvar_counts': [96, 13824, 1660896, 218087424, 26001809376, 3139093440000, 380090935634016, 45952733531602944, 5559971864136303456, 672760726676557161984], 'abvar_counts_str': '96 13824 1660896 218087424 26001809376 3139093440000 380090935634016 45952733531602944 5559971864136303456 672760726676557161984 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.140218899003772, 0.706037166300355], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 10, 'curve_counts': [10, 114, 1246, 14894, 161450, 1771938, 19504670, 214372894, 2357970826, 25937838354], 'curve_counts_str': '10 114 1246 14894 161450 1771938 19504670 214372894 2357970826 25937838354 ', 'curves': ['y^2=9*x^6+7*x^5+2*x^4+4*x^3+5*x^2+2*x+3', 'y^2=10*x^5+7*x^4+2*x^3+3*x^2+10*x+1', 'y^2=10*x^5+2*x^4+2*x^3+2*x^2+3*x+5', 'y^2=x^6+9*x^5+2*x^4+5*x^3+7*x^2+10*x+1', 'y^2=8*x^6+7*x^5+9*x^3+6*x^2+1', 'y^2=10*x^5+3*x^4+5*x^3+2*x+2', 'y^2=5*x^6+6*x^5+8*x^4+2*x^3+x^2+6*x+1', 'y^2=9*x^6+2*x^5+5*x^4+6*x^3+9*x^2+3*x+6', 'y^2=2*x^6+x^5+x^4+3*x^3+5*x+10', 'y^2=3*x^6+9*x^5+6*x^4+5*x^3+x^2+8*x+8', 'y^2=6*x^5+3*x^4+3*x^3+5*x^2+2*x', 'y^2=3*x^6+8*x^5+2*x^4+9*x^3+10*x^2+7*x+1', 'y^2=7*x^6+3*x^5+3*x^4+x^3+3*x^2+3*x+7', 'y^2=5*x^5+9*x^4+x^3+2*x^2+2*x+4'], 'dim1_distinct': 2, 'dim1_factors': 2, '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': 12, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.8.1', '2.0.7.1'], 'geometric_splitting_field': '4.0.3136.2', 'geometric_splitting_polynomials': [[2, -8, 9, -2, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 14, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 14, 'label': '2.11.ac_ac', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.8.1', '2.0.7.1'], 'p': 11, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 12], [1, 11, 1, 6]], 'poly': [1, -2, -2, -22, 121], 'poly_str': '1 -2 -2 -22 121 ', 'primitive_models': [], 'principal_polarization_count': 16, 'q': 11, 'real_poly': [1, -2, -24], 'simple_distinct': ['1.11.ag', '1.11.e'], 'simple_factors': ['1.11.agA', '1.11.eA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['2,F^2+9*F', '5,3*F^2+3*V+20'], 'size': 104, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3136.2', 'splitting_polynomials': [[2, -8, 9, -2, 1]], 'twist_count': 4, 'twists': [['2.11.ak_bu', '2.121.ai_gc', 2], ['2.11.c_ac', '2.121.ai_gc', 2], ['2.11.k_bu', '2.121.ai_gc', 2]], 'weak_equivalence_count': 14, 'zfv_index': 200, 'zfv_index_factorization': [[2, 3], [5, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 24, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 224, 'zfv_singular_count': 4, 'zfv_singular_primes': ['2,F^2+9*F', '5,3*F^2+3*V+20']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.8.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.ag', 'galois_group': '2T1', 'places': [['8', '1'], ['3', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.e', 'galois_group': '2T1', 'places': [['6', '1'], ['4', '1']]}
Abelian variety isogeny class data - 2.11.ac_ac