-
av_fq_isog • Show schema
{'abvar_count': 4, 'abvar_counts': [4, 520, 7696, 275600, 1295764, 16007680, 288538268, 3775168800, 74530703728, 1146297622600], 'abvar_counts_str': '4 520 7696 275600 1295764 16007680 288538268 3775168800 74530703728 1146297622600 ', 'angle_rank': 3, 'angles': [0.161334789179573, 0.25, 0.32700905884545, 0.73988280264235], 'center_dim': 8, 'curve_count': -1, 'curve_counts': [-1, 5, 14, 41, 39, 62, 139, 225, 554, 1065], 'curve_counts_str': '-1 5 14 41 39 62 139 225 554 1065 ', 'curves': [], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 1, 'dim3_factors': 1, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 4, 'galois_groups': ['2T1', '6T11'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 1, 'geom_dim3_factors': 1, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 7, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['1T1', '6T11'], 'geometric_number_fields': ['1.1.1.1', '6.0.2464727.1'], 'geometric_splitting_field': '6.0.2464727.1', 'geometric_splitting_polynomials': [[8, -8, 4, -1, 2, -2, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'jacobian_count': 0, 'label': '4.2.ae_i_aj_k', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 8, 'number_fields': ['2.0.4.1', '6.0.2464727.1'], 'p': 2, 'p_rank': 3, 'p_rank_deficit': 1, 'pic_prime_gens': [[2, 2, 1, 2]], 'poly': [1, -4, 8, -9, 10, -18, 32, -32, 16], 'poly_str': '1 -4 8 -9 10 -18 32 -32 16 ', 'primitive_models': [], 'principal_polarization_count': 0, 'q': 2, 'real_poly': [1, -4, 0, 15, -14], 'simple_distinct': ['1.2.ac', '3.2.ac_c_ab'], 'simple_factors': ['1.2.acA', '3.2.ac_c_abA'], 'simple_multiplicities': [1, 1], 'size': 2, 'slopes': ['0A', '0B', '0C', '1/2A', '1/2B', '1A', '1B', '1C'], 'splitting_field': '12.0.24882705139830784.1', 'splitting_polynomials': [[64, 0, 0, 0, 32, 0, 1, 0, 8, 0, 0, 0, 1]], 'twist_count': 6, 'twists': [['4.2.a_a_ab_g', '4.4.a_m_ab_cm', 2], ['4.2.a_a_b_g', '4.4.a_m_ab_cm', 2], ['4.2.e_i_j_k', '4.4.a_m_ab_cm', 2], ['4.2.e_i_j_k', '4.16.y_km_cvv_nqe', 4], ['4.2.ac_e_af_i', '4.256.abg_lc_alth_nnmm', 8], ['4.2.c_e_f_i', '4.256.abg_lc_alth_nnmm', 8]], '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': 188} -
av_fq_endalg_factors • Show schema
-
id: 2577867
{'base_label': '4.2.ae_i_aj_k', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 1} -
id: 2577868
{'base_label': '4.2.ae_i_aj_k', 'extension_degree': 1, 'extension_label': '3.2.ac_c_ab', 'multiplicity': 1} -
id: 2577869
{'base_label': '4.2.ae_i_aj_k', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 1} -
id: 2577870
{'base_label': '4.2.ae_i_aj_k', 'extension_degree': 2, 'extension_label': '3.4.a_i_ab', 'multiplicity': 1} -
id: 2577871
{'base_label': '4.2.ae_i_aj_k', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 1} -
id: 2577872
{'base_label': '4.2.ae_i_aj_k', 'extension_degree': 4, 'extension_label': '3.16.q_ey_yp', 'multiplicity': 1}
-
id: 2577867
-
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ac', 'galois_group': '2T1', 'places': [['1', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '6.0.2464727.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.2.ac_c_ab', 'galois_group': '6T11', 'places': [['1', '1', '0', '0', '0', '0'], ['1', '1', '1', '0', '0', '0'], ['0', '1/2', '3/4', '1/2', '0', '1/4'], ['1', '3/2', '5/4', '1/2', '0', '7/4']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.a', 'galois_group': '2T1', 'places': [['1', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '6.0.2464727.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.4.a_i_ab', 'galois_group': '6T11', 'places': [['1', '1', '0', '0', '0', '0'], ['1', '1', '1', '0', '0', '0'], ['0', '1/2', '3/4', '1/2', '0', '1/4'], ['1', '3/2', '5/4', '1/2', '0', '7/4']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.16.i', 'galois_group': '1T1', 'places': [['0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '6.0.2464727.1', 'center_dim': 6, 'divalg_dim': 1, 'extension_label': '3.16.q_ey_yp', 'galois_group': '6T11', 'places': [['1', '1', '0', '0', '0', '0'], ['1', '1', '1', '0', '0', '0'], ['0', '1/2', '3/4', '1/2', '0', '1/4'], ['1', '3/2', '5/4', '1/2', '0', '7/4']]}
Abelian variety isogeny class data - 4.2.ae_i_aj_k