-
av_fq_isog • Show schema
Hide schema
{'abvar_count': 76, 'abvar_counts': [76, 3648, 227164, 13847808, 844557676, 51520795200, 3142739300476, 191707336823808, 11694145974931084, 713342911860107328], 'abvar_counts_str': '76 3648 227164 13847808 844557676 51520795200 3142739300476 191707336823808 11694145974931084 713342911860107328 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.853724980601751], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 76, 'curve_counts': [76, 3648, 227164, 13847808, 844557676, 51520795200, 3142739300476, 191707336823808, 11694145974931084, 713342911860107328], 'curve_counts_str': '76 3648 227164 13847808 844557676 51520795200 3142739300476 191707336823808 11694145974931084 713342911860107328 ', 'curves': ['y^2=x^3+8', 'y^2=x^3+41*x+41', 'y^2=x^3+20*x+40', 'y^2=x^3+28*x+56'], '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': 3, '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': ['2.0.3.1'], 'geometric_splitting_field': '2.0.3.1', 'geometric_splitting_polynomials': [[1, -1, 1]], 'group_structure_count': 2, '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': 4, 'label': '1.61.o', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.3.1'], 'p': 61, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 14, 61], 'poly_str': '1 14 61 ', 'primitive_models': [], 'principal_polarization_count': 4, 'q': 61, 'real_poly': [1, 14], 'simple_distinct': ['1.61.o'], 'simple_factors': ['1.61.oA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F+1'], 'size': 4, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 6, 'twists': [['1.61.ao', '1.3721.acw', 2], ['1.61.an', '1.226981.ha', 3], ['1.61.ab', '1.226981.ha', 3], ['1.61.b', '1.51520374361.xyoc', 6], ['1.61.n', '1.51520374361.xyoc', 6]], 'weak_equivalence_count': 3, 'zfv_index': 4, 'zfv_index_factorization': [[2, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 48, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F+1']}
-
av_fq_endalg_factors • Show schema
Hide schema
{'base_label': '1.61.o', 'extension_degree': 1, 'extension_label': '1.61.o', 'multiplicity': 1}
-
av_fq_endalg_data • Show schema
Hide schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.61.o', 'galois_group': '2T1', 'places': [['47', '1'], ['13', '1']]}
