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av_fq_isog • Show schema
{'abvar_count': 259, 'abvar_counts': [259, 67081, 24134656, 6912093321, 2015995373539, 582481620238336, 168377827366974211, 48661475845215062025, 14063084452253991691264, 4064237346130652141384521], 'abvar_counts_str': '259 67081 24134656 6912093321 2015995373539 582481620238336 168377827366974211 48661475845215062025 14063084452253991691264 4064237346130652141384521 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0673600794514033, 0.932639920548597], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 18, 'curve_counts': [18, 228, 4914, 82756, 1419858, 24131742, 410338674, 6975798148, 118587876498, 2015996846628], 'curve_counts_str': '18 228 4914 82756 1419858 24131742 410338674 6975798148 118587876498 2015996846628 ', 'curves': ['y^2=13*x^6+14*x^5+x^4+9*x^3+5*x^2+10*x+10', 'y^2=16*x^6+2*x^5+7*x^4+14*x^3+8*x^2+4*x+5'], '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': 2, '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': ['2.0.195.1'], 'geometric_splitting_field': '2.0.195.1', 'geometric_splitting_polynomials': [[49, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 2, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 2, 'label': '2.17.a_abf', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.38025.4'], 'p': 17, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 2], [1, 7, 2, 2]], 'poly': [1, 0, -31, 0, 289], 'poly_str': '1 0 -31 0 289 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 17, 'real_poly': [1, 0, -65], 'simple_distinct': ['2.17.a_abf'], 'simple_factors': ['2.17.a_abfA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F^2-3*F-7'], 'size': 8, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.38025.4', 'splitting_polynomials': [[256, 16, 17, -1, 1]], 'twist_count': 4, 'twists': [['2.17.ad_u', '2.4913.a_aeic', 3], ['2.17.d_u', '2.4913.a_aeic', 3], ['2.17.a_bf', '2.83521.abdm_rwcp', 4]], 'weak_equivalence_count': 2, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 4, 'zfv_plus_index': 2, 'zfv_plus_index_factorization': [[2, 1]], 'zfv_plus_norm': 9, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F^2-3*F-7']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.38025.4', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.17.a_abf', 'galois_group': '4T2', 'places': [['16/17', '0', '16', '1/17'], ['16', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.195.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.289.abf', 'galois_group': '2T1', 'places': [['1', '1'], ['15', '1']]}
Abelian variety isogeny class data - 2.17.a_abf