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av_fq_isog • Show schema
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{'abvar_count': 1936, 'abvar_counts': [1936, 1982464, 2520441616, 3517335207936, 4809816970888336, 6582432748975046656, 9012114150914009226256, 12337526483192421877284864, 16890047899007416053217450384, 23122484241065020926124509773824], 'abvar_counts_str': '1936 1982464 2520441616 3517335207936 4809816970888336 6582432748975046656 9012114150914009226256 12337526483192421877284864 16890047899007416053217450384 23122484241065020926124509773824 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.664171811596569, 0.664171811596569], 'center_dim': 2, 'curve_count': 50, 'curve_counts': [50, 1446, 49754, 1876750, 69361730, 2565524022, 94932433898, 3512483601694, 129961694308178, 4808584491871686], 'curve_counts_str': '50 1446 49754 1876750 69361730 2565524022 94932433898 3512483601694 129961694308178 4808584491871686 ', 'curves': ['y^2=17*x^6+34*x^4+34*x^2+17', 'y^2=22*x^6+24*x^5+18*x^3+34*x^2+x+12', 'y^2=29*x^6+15*x^5+34*x^4+28*x^3+34*x^2+15*x+29', 'y^2=21*x^6+10*x^5+27*x^4+12*x^3+x^2+27*x+32', 'y^2=30*x^6+15*x^5+35*x^4+10*x^3+35*x^2+15*x+30', 'y^2=7*x^6+10*x^5+10*x^4+26*x^3+28*x^2+34*x+3', 'y^2=8*x^6+5*x^4+5*x^2+8', 'y^2=21*x^6+29*x^5+22*x^4+5*x^3+22*x^2+29*x+21', 'y^2=11*x^6+7*x^5+8*x^4+22*x^3+5*x^2+27*x+31', 'y^2=27*x^6+29*x^4+29*x^2+27', 'y^2=28*x^6+13*x^5+26*x^4+36*x^3+26*x^2+13*x+28', 'y^2=32*x^6+9*x^5+15*x^4+22*x^3+2*x^2+28*x+7', 'y^2=22*x^6+32*x^5+35*x^4+29*x^3+35*x^2+32*x+22', 'y^2=12*x^6+26*x^5+13*x^4+25*x^3+19*x^2+7*x+4', 'y^2=10*x^6+33*x^5+33*x^4+11*x^3+33*x^2+33*x+10', 'y^2=11*x^6+4*x^5+32*x^4+27*x^3+32*x^2+4*x+11', 'y^2=21*x^6+7*x^4+8*x^3+7*x^2+21', 'y^2=20*x^6+20*x^5+12*x^4+18*x^3+12*x^2+20*x+20', 'y^2=20*x^6+27*x^4+27*x^2+20', 'y^2=9*x^6+21*x^5+36*x^4+35*x^3+8*x^2+23*x+23'], '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 20, 'label': '2.37.m_eg', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 11], 'number_fields': ['2.0.7.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 12, 110, 444, 1369], 'poly_str': '1 12 110 444 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 12, 36], 'simple_distinct': ['1.37.g'], 'simple_factors': ['1.37.gA', '1.37.gB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.7.1', 'splitting_polynomials': [[2, -1, 1]], 'twist_count': 6, 'twists': [['2.37.am_eg', '2.1369.cy_gew', 2], ['2.37.a_bm', '2.1369.cy_gew', 2], ['2.37.ag_ab', '2.50653.abiq_rhkw', 3], ['2.37.a_abm', '2.1874161.dvo_lwnvq', 4], ['2.37.g_ab', '2.2565726409.alnke_bxttvlic', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.37.m_eg', 'extension_degree': 1, 'extension_label': '1.37.g', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.g', 'galois_group': '2T1', 'places': [['28', '1'], ['8', '1']]}
