-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 69, 'abvar_counts': [69, 5175, 358524, 25404075, 1804163079, 128100625200, 9095125887609, 645753524202675, 45848500290545364, 3255243550226229375], 'abvar_counts_str': '69 5175 358524 25404075 1804163079 128100625200 9095125887609 645753524202675 45848500290545364 3255243550226229375 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.443031714434209], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 69, 'curve_counts': [69, 5175, 358524, 25404075, 1804163079, 128100625200, 9095125887609, 645753524202675, 45848500290545364, 3255243550226229375], 'curve_counts_str': '69 5175 358524 25404075 1804163079 128100625200 9095125887609 645753524202675 45848500290545364 3255243550226229375 ', 'curves': ['y^2=x^3+63*x+15', 'y^2=x^3+70*x+70', 'y^2=x^3+2*x+14', 'y^2=x^3+17*x+48', 'y^2=x^3+9*x+9'], 'dim1_distinct': 1, 'dim1_factors': 1, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 2, 'g': 1, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, 'geom_dim1_factors': 1, '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': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.11.1'], 'geometric_splitting_field': '2.0.11.1', 'geometric_splitting_polynomials': [[3, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 5, 'label': '1.71.ad', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.11.1'], 'p': 71, 'p_rank': 1, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 4]], 'poly': [1, -3, 71], 'poly_str': '1 -3 71 ', 'primitive_models': [], 'principal_polarization_count': 5, 'q': 71, 'real_poly': [1, -3], 'simple_distinct': ['1.71.ad'], 'simple_factors': ['1.71.adA'], 'simple_multiplicities': [1], 'singular_primes': ['5,3*F-7'], 'size': 5, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 2, 'twists': [['1.71.d', '1.5041.fd', 2]], 'weak_equivalence_count': 2, 'zfv_index': 5, 'zfv_index_factorization': [[5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 4, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 275, 'zfv_singular_count': 2, 'zfv_singular_primes': ['5,3*F-7']}
-
av_fq_endalg_factors • Show schema
Hide schema
{'base_label': '1.71.ad', 'extension_degree': 1, 'extension_label': '1.71.ad', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.71.ad', 'galois_group': '2T1', 'places': [['56', '1'], ['14', '1']]}
