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av_fq_isog • Show schema
{'abvar_count': 904, 'abvar_counts': [904, 817216, 887475784, 850231526400, 819628300316104, 787613267186414656, 756943935265790214664, 727422725458241818214400, 699053619999097604303373064, 671790550679065568386321738816], 'abvar_counts_str': '904 817216 887475784 850231526400 819628300316104 787613267186414656 756943935265790214664 727422725458241818214400 699053619999097604303373064 671790550679065568386321738816 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0574820589755166, 0.942517941024483], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 32, 'curve_counts': [32, 846, 29792, 920638, 28629152, 887447886, 27512614112, 852890572798, 26439622160672, 819628313651406], 'curve_counts_str': '32 846 29792 920638 28629152 887447886 27512614112 852890572798 26439622160672 819628313651406 ', 'curves': ['y^2=28*x^6+30*x^5+28*x^4+16*x^3+7*x^2+15', 'y^2=15*x^6+15*x^5+2*x^4+10*x^3+19*x^2+16*x+13', 'y^2=30*x^5+12*x^4+x^3+9*x^2+11*x+11', 'y^2=7*x^6+4*x^5+3*x^4+26*x^3+15*x^2+19*x+4', 'y^2=19*x^6+17*x^5+11*x^4+15*x^2+4*x+7', 'y^2=16*x^6+27*x^5+26*x^4+13*x^2+x+2'], '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': 4, '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.120.1'], 'geometric_splitting_field': '2.0.120.1', 'geometric_splitting_polynomials': [[30, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, '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': 6, 'label': '2.31.a_acg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['4.0.57600.6'], 'p': 31, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 0, -58, 0, 961], 'poly_str': '1 0 -58 0 961 ', 'primitive_models': [], 'q': 31, 'real_poly': [1, 0, -120], 'simple_distinct': ['2.31.a_acg'], 'simple_factors': ['2.31.a_acgA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-1'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.57600.6', 'splitting_polynomials': [[225, 0, 0, 0, 1]], 'twist_count': 6, 'twists': [['2.31.ae_co', '2.923521.aegy_ipkhq', 4], ['2.31.a_cg', '2.923521.aegy_ipkhq', 4], ['2.31.e_co', '2.923521.aegy_ipkhq', 4], ['2.31.ac_abb', '2.787662783788549761.glufbbw_baxwoitsqfykug', 12], ['2.31.c_abb', '2.787662783788549761.glufbbw_baxwoitsqfykug', 12]], 'weak_equivalence_count': 5, 'zfv_index': 8, 'zfv_index_factorization': [[2, 3]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 16, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-1']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.57600.6', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.31.a_acg', 'galois_group': '4T2', 'places': [['15', '1', '30', '0'], ['16', '1', '1', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.120.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.961.acg', 'galois_group': '2T1', 'places': [['1', '1'], ['30', '1']]}
Abelian variety isogeny class data - 2.31.a_acg