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av_fq_isog • Show schema
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{'abvar_count': 84, 'abvar_counts': [84, 7056, 571788, 47444544, 3939040644, 326941516944, 27136050989628, 2252292137222400, 186940255267540404, 15516041195083934736], 'abvar_counts_str': '84 7056 571788 47444544 3939040644 326941516944 27136050989628 2252292137222400 186940255267540404 15516041195083934736 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 0, 'angles': [0.5], 'center_dim': 2, 'cohen_macaulay_max': 1, 'curve_count': 84, 'curve_counts': [84, 7056, 571788, 47444544, 3939040644, 326941516944, 27136050989628, 2252292137222400, 186940255267540404, 15516041195083934736], 'curve_counts_str': '84 7056 571788 47444544 3939040644 326941516944 27136050989628 2252292137222400 186940255267540404 15516041195083934736 ', 'curves': ['y^2=x^3+75*x+67', 'y^2=x^3+81*x+81', 'y^2=x^3+23*x+23', 'y^2=x^3+40*x+40', 'y^2=x^3+58*x+58', 'y^2=x^3+2', 'y^2=x^3+9*x+18', 'y^2=x^3+77*x+71', 'y^2=x^3+66*x+49', 'y^2=x^3+2*x', 'y^2=x^3+1', 'y^2=x^3+x'], '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': 1, 'geometric_extension_degree': 2, 'geometric_galois_groups': ['1T1'], 'geometric_number_fields': ['1.1.1.1'], 'geometric_splitting_field': '1.1.1.1', 'geometric_splitting_polynomials': [[0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': True, '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': True, 'jacobian_count': 12, 'label': '1.83.a', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 1, 'newton_coelevation': 0, 'newton_elevation': 1, 'number_fields': ['2.0.83.1'], 'p': 83, 'p_rank': 0, 'p_rank_deficit': 1, 'poly': [1, 0, 83], 'poly_str': '1 0 83 ', 'primitive_models': [], 'principal_polarization_count': 12, 'q': 83, 'real_poly': [1], 'simple_distinct': ['1.83.a'], 'simple_factors': ['1.83.aA'], 'simple_multiplicities': [1], 'singular_primes': ['2,F-1'], 'size': 12, 'slopes': ['1/2A', '1/2B'], 'splitting_field': '2.0.83.1', 'splitting_polynomials': [[21, -1, 1]], 'twist_count': 1, 'twists': [], 'weak_equivalence_count': 2, 'zfv_index': 2, 'zfv_index_factorization': [[2, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 332, 'zfv_singular_count': 2, 'zfv_singular_primes': ['2,F-1']}
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av_fq_endalg_factors • Show schema
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id: 746
{'base_label': '1.83.a', 'extension_degree': 1, 'extension_label': '1.83.a', 'multiplicity': 1}
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id: 747
{'base_label': '1.83.a', 'extension_degree': 2, 'extension_label': '1.6889.gk', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.83.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.83.a', 'galois_group': '2T1', 'places': [['41', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.6889.gk', 'galois_group': '1T1', 'places': [['0']]}
