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av_fq_isog • Show schema
{'abvar_count': 2, 'abvar_counts': [2, 56, 224, 4144, 16522, 175616, 2570626, 16783200, 133677152, 1073731736], 'abvar_counts_str': '2 56 224 4144 16522 175616 2570626 16783200 133677152 1073731736 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 2, 'angle_rank': 1, 'angles': [0.0516399385853587, 0.384973271918692, 0.718306605252025], 'center_dim': 6, 'cohen_macaulay_max': 1, 'curve_count': 1, 'curve_counts': [1, 5, 4, 17, 11, 38, 155, 257, 508, 1025], 'curve_counts_str': '1 5 4 17 11 38 155 257 508 1025 ', 'curves': ['y^2+(x^4+x^2+x)*y=x^8+x^6+x^4+x^3+x'], 'dim1_distinct': 1, 'dim1_factors': 1, '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': 3, 'galois_groups': ['2T1', '4T2'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 3, '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': 6, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 1, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 1, 'label': '3.2.ac_c_ad', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 42, 'newton_coelevation': 4, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['2.0.7.1', '4.0.441.1'], 'p': 2, 'p_rank': 3, 'p_rank_deficit': 0, 'pic_prime_gens': [], 'poly': [1, -2, 2, -3, 4, -8, 8], 'poly_str': '1 -2 2 -3 4 -8 8 ', 'primitive_models': [], 'principal_polarization_count': 1, 'q': 2, 'real_poly': [1, -2, -4, 5], 'simple_distinct': ['1.2.ab', '2.2.ab_ab'], 'simple_factors': ['1.2.abA', '2.2.ab_abA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['5,9*F^3+7*F^2+2*F-10*V+7'], 'size': 2, 'slopes': ['0A', '0B', '0C', '1A', '1B', '1C'], 'splitting_field': '4.0.441.1', 'splitting_polynomials': [[4, -2, -1, -1, 1]], 'twist_count': 14, 'twists': [['3.2.a_a_af', '3.4.a_a_aj', 2], ['3.2.a_a_f', '3.4.a_a_aj', 2], ['3.2.c_c_d', '3.4.a_a_aj', 2], ['3.2.b_f_d', '3.8.af_ab_bt', 3], ['3.2.ad_j_an', '3.64.abb_qt_agez', 6], ['3.2.ab_f_ad', '3.64.abb_qt_agez', 6], ['3.2.d_j_n', '3.64.abb_qt_agez', 6], ['3.2.ab_ab_d', '3.4096.fl_bbzn_ctqhb', 12], ['3.2.b_ab_ad', '3.4096.fl_bbzn_ctqhb', 12], ['3.2.ae_j_ap', '3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj', 42], ['3.2.ad_c_b', '3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj', 42], ['3.2.d_c_ab', '3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj', 42], ['3.2.e_j_p', '3.4398046511104.axtmzj_jrfguzykil_acfoofcbglfpqnwj', 42]], 'weak_equivalence_count': 2, 'zfv_index': 25, 'zfv_index_factorization': [[5, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 1, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 7, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,9*F^3+7*F^2+2*F-10*V+7']} -
av_fq_endalg_factors • Show schema
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id: 1361200
{'base_label': '3.2.ac_c_ad', 'extension_degree': 1, 'extension_label': '1.2.ab', 'multiplicity': 1} -
id: 1361201
{'base_label': '3.2.ac_c_ad', 'extension_degree': 1, 'extension_label': '2.2.ab_ab', 'multiplicity': 1} -
id: 1361202
{'base_label': '3.2.ac_c_ad', 'extension_degree': 2, 'extension_label': '1.4.d', 'multiplicity': 1} -
id: 1361203
{'base_label': '3.2.ac_c_ad', 'extension_degree': 2, 'extension_label': '2.4.ad_f', 'multiplicity': 1} -
id: 1361204
{'base_label': '3.2.ac_c_ad', 'extension_degree': 3, 'extension_label': '1.8.af', 'multiplicity': 2} -
id: 1361205
{'base_label': '3.2.ac_c_ad', 'extension_degree': 3, 'extension_label': '1.8.f', 'multiplicity': 1} -
id: 1361206
{'base_label': '3.2.ac_c_ad', 'extension_degree': 6, 'extension_label': '1.64.aj', 'multiplicity': 3}
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id: 1361200
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ab', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.441.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.2.ab_ab', 'galois_group': '4T2', 'places': [['0', '1/2', '1/2', '1/2'], ['0', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.d', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.441.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.4.ad_f', 'galois_group': '4T2', 'places': [['0', '1/2', '1/2', '1/2'], ['0', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.8.af', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.8.f', 'galois_group': '2T1', 'places': [['0', '1'], ['1', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.64.aj', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
Abelian variety isogeny class data - 3.2.ac_c_ad