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av_fq_isog • Show schema
{'abvar_count': 301, 'abvar_counts': [301, 101437, 24309061, 6935957749, 2015656666576, 582568615898941, 168372230504680573, 48662484146374421925, 14063156925492058999909, 4064222636139105513213952], 'abvar_counts_str': '301 101437 24309061 6935957749 2015656666576 582568615898941 168372230504680573 48662484146374421925 14063156925492058999909 4064222636139105513213952 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.390082729593055, 0.569700715483389], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 17, 'curve_counts': [17, 347, 4949, 83043, 1419622, 24135347, 410325037, 6975942691, 118588487633, 2015989549982], 'curve_counts_str': '17 347 4949 83043 1419622 24135347 410325037 6975942691 118588487633 2015989549982 ', 'curves': ['y^2=8*x^5+16*x^4+16*x^3+3*x^2+x+12', 'y^2=12*x^6+5*x^5+15*x^4+14*x^3+12*x^2+12*x+1', 'y^2=14*x^6+5*x^5+7*x^4+8*x^3+15*x^2+2*x+4', 'y^2=7*x^6+10*x^5+9*x^4+9*x^3+2*x^2+9*x+16', 'y^2=14*x^5+11*x^4+4*x^3+8*x^2+16*x+10', 'y^2=6*x^6+9*x^5+2*x^4+6*x^3+6*x^2+12*x+3', 'y^2=6*x^6+6*x^5+12*x^4+11*x^3+13*x^2+9*x+12', 'y^2=4*x^6+4*x^5+12*x^4+9*x^3+9*x^2+4*x+6'], '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': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.1720341.1'], 'geometric_splitting_field': '4.0.1720341.1', 'geometric_splitting_polynomials': [[289, -17, 29, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 8, 'label': '2.17.ab_bd', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.1720341.1'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 4], [1, 17, 1, 4]], 'poly': [1, -1, 29, -17, 289], 'poly_str': '1 -1 29 -17 289 ', 'primitive_models': [], 'principal_polarization_count': 8, 'q': 17, 'real_poly': [1, -1, -5], 'simple_distinct': ['2.17.ab_bd'], 'simple_factors': ['2.17.ab_bdA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1720341.1', 'splitting_polynomials': [[289, -17, 29, -1, 1]], 'twist_count': 2, 'twists': [['2.17.b_bd', '2.289.cf_cbh', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 8, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 3901, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.17.ab_bd', 'extension_degree': 1, 'extension_label': '2.17.ab_bd', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
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id: 8442
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.1720341.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.ab_bd', 'galois_group': '4T3', 'places': [['9', '1', '0', '0'], ['7', '1', '0', '0'], ['16', '178/17', '56/17', '284/17'], ['15', '224/17', '55/17', '285/17']]} -
id: 1486458
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.1720341.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.ab_bd', 'galois_group': '4T3', 'places': [['9', '1', '0', '0'], ['7', '1', '0', '0'], ['5', '28/17', '128/17', '8/17'], ['16', '44/17', '172/17', '287/17']]} -
id: 1493844
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.1720341.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.ab_bd', 'galois_group': '4T3', 'places': [['9', '1', '0', '0'], ['7', '1', '0', '0'], ['1', '77/17', '97/17', '5/17'], ['4', '62/17', '230/17', '8/17']]}
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id: 8442
Abelian variety isogeny class data - 2.17.ab_bd