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av_fq_isog • Show schema
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{'abvar_count': 4225, 'abvar_counts': [4225, 7812025, 22040371600, 62344842015625, 174856384766805625, 491264358078890905600, 1379947710777085469296225, 3876267393576854324387015625, 10888440511866225983527519747600, 30585627100170643928223625511775625], 'abvar_counts_str': '4225 7812025 22040371600 62344842015625 174856384766805625 491264358078890905600 1379947710777085469296225 3876267393576854324387015625 10888440511866225983527519747600 30585627100170643928223625511775625 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.77259777806417, 0.77259777806417], 'center_dim': 2, 'curve_count': 76, 'curve_counts': [76, 2780, 148042, 7901268, 418121156, 22164607190, 1174712373092, 62259663804388, 3299763819116386, 174887469275225900], 'curve_counts_str': '76 2780 148042 7901268 418121156 22164607190 1174712373092 62259663804388 3299763819116386 174887469275225900 ', 'curves': ['y^2=x^6+12*x^5+x^4+8*x^3+25*x^2+27*x+43', 'y^2=15*x^6+14*x^5+46*x^4+24*x^3+x^2+23*x+10', 'y^2=24*x^6+7*x^4+17*x^3+36*x^2+9', 'y^2=38*x^6+51*x^5+52*x^4+32*x^3+14*x^2+50*x+34', 'y^2=21*x^6+13*x^5+16*x^4+39*x^3+25*x^2+13*x+36', 'y^2=46*x^6+20*x^5+4*x^4+5*x^3+x^2+35*x+10', 'y^2=14*x^6+7*x^5+27*x^4+x^3+20*x^2+17*x+35', 'y^2=43*x^6+4*x^5+52*x^4+34*x^3+34*x^2+43*x+48', 'y^2=7*x^6+24*x^5+37*x^4+5*x^3+13*x^2+44*x+10'], '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': ['2.0.91.1'], 'geometric_splitting_field': '2.0.91.1', 'geometric_splitting_polynomials': [[23, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 9, 'label': '2.53.w_it', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['2.0.91.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 22, 227, 1166, 2809], 'poly_str': '1 22 227 1166 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, 22, 121], 'simple_distinct': ['1.53.l'], 'simple_factors': ['1.53.lA', '1.53.lB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.91.1', 'splitting_polynomials': [[23, -1, 1]], 'twist_count': 6, 'twists': [['2.53.aw_it', '2.2809.abe_iqt', 2], ['2.53.a_ap', '2.2809.abe_iqt', 2], ['2.53.al_cq', '2.148877.abge_bawyg', 3], ['2.53.a_p', '2.7890481.pyw_dueqyt', 4], ['2.53.l_cq', '2.22164361129.nzzw_hkmxkqyg', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.53.w_it', 'extension_degree': 1, 'extension_label': '1.53.l', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.91.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.l', 'galois_group': '2T1', 'places': [['5', '1'], ['47', '1']]}
