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av_fq_isog • Show schema
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{'abvar_count': 144, 'abvar_counts': [144, 20736, 1774224, 207360000, 25937746704, 3147870802176, 379749872557584, 45937177436160000, 5559917318208126864, 672766704080862863616], 'abvar_counts_str': '144 20736 1774224 207360000 25937746704 3147870802176 379749872557584 45937177436160000 5559917318208126864 672766704080862863616 ', 'angle_corank': 2, 'angle_rank': 0, 'angles': [0.5, 0.5], 'center_dim': 2, 'curve_count': 12, 'curve_counts': [12, 166, 1332, 14158, 161052, 1776886, 19487172, 214300318, 2357947692, 25938068806], 'curve_counts_str': '12 166 1332 14158 161052 1776886 19487172 214300318 2357947692 25938068806 ', 'curves': ['y^2=x^6+x^3+5', 'y^2=2*x^6+2*x^3+10', 'y^2=10*x^6+3*x^5+10*x^4+4*x^3+7*x^2+4*x+2', 'y^2=9*x^6+6*x^5+9*x^4+8*x^3+3*x^2+8*x+4', 'y^2=x^6+10', 'y^2=x^6+3', 'y^2=2*x^6+6', 'y^2=x^5+9*x^3+3*x'], 'dim1_distinct': 1, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 2, 'galois_groups': ['2T1'], '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': 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]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 8, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': True, 'jacobian_count': 8, 'label': '2.11.a_w', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'newton_coelevation': 0, 'newton_elevation': 2, 'noncyclic_primes': [2, 3], 'number_fields': ['2.0.11.1'], 'p': 11, 'p_rank': 0, 'p_rank_deficit': 2, 'poly': [1, 0, 22, 0, 121], 'poly_str': '1 0 22 0 121 ', 'primitive_models': [], 'q': 11, 'real_poly': [1], 'simple_distinct': ['1.11.a'], 'simple_factors': ['1.11.aA', '1.11.aB'], 'simple_multiplicities': [2], 'slopes': ['1/2A', '1/2B', '1/2C', '1/2D'], 'splitting_field': '2.0.11.1', 'splitting_polynomials': [[3, -1, 1]], 'twist_count': 5, 'twists': [['2.11.a_al', '2.1331.a_dyk', 3], ['2.11.a_aw', '2.14641.asq_ezys', 4], ['2.11.a_a', '2.214358881.adiqm_eegmrqc', 8], ['2.11.a_l', '2.3138428376721.apnepw_dmemzgzeeg', 12]]}
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av_fq_endalg_factors • Show schema
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id: 8866
{'base_label': '2.11.a_w', 'extension_degree': 1, 'extension_label': '1.11.a', 'multiplicity': 2}
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id: 8867
{'base_label': '2.11.a_w', 'extension_degree': 2, 'extension_label': '1.121.w', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.11.a', 'galois_group': '2T1', 'places': [['5', '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': '1.121.w', 'galois_group': '1T1', 'places': [['0']]}