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av_fq_isog • Show schema
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{'abvar_count': 232, 'abvar_counts': [232, 50112, 11084728, 2472926976, 551474528392, 122978495001024, 27424204349578072, 6115597642678238208, 1363778273743418456104, 304122555033155865796032], 'abvar_counts_str': '232 50112 11084728 2472926976 551474528392 122978495001024 27424204349578072 6115597642678238208 1363778273743418456104 304122555033155865796032 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 1, 'angles': [0.586316404463411], 'center_dim': 2, 'curve_count': 232, 'curve_counts': [232, 50112, 11084728, 2472926976, 551474528392, 122978495001024, 27424204349578072, 6115597642678238208, 1363778273743418456104, 304122555033155865796032], 'curve_counts_str': '232 50112 11084728 2472926976 551474528392 122978495001024 27424204349578072 6115597642678238208 1363778273743418456104 304122555033155865796032 ', 'curves': ['y^2=x^3+149*x+149', 'y^2=x^3+12*x+12', 'y^2=x^3+36*x+36', 'y^2=x^3+104*x+89', 'y^2=x^3+176*x+82', 'y^2=x^3+195*x+139', 'y^2=x^3+83*x+26', 'y^2=x^3+191*x+191', 'y^2=x^3+164*x+46', 'y^2=x^3+13*x+13', 'y^2=x^3+64*x+64', 'y^2=x^3+181*x+97', 'y^2=x^3+158*x+158', 'y^2=x^3+48*x+144', 'y^2=x^3+73*x+73', 'y^2=x^3+100*x+100', 'y^2=x^3+113*x+116', 'y^2=x^3+208*x+208'], '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, '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': ['2.0.23.1'], 'geometric_splitting_field': '2.0.23.1', 'geometric_splitting_polynomials': [[6, -1, 1]], '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': 18, 'label': '1.223.i', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 1, 'newton_elevation': 0, 'number_fields': ['2.0.23.1'], 'p': 223, 'p_rank': 1, 'p_rank_deficit': 0, 'poly': [1, 8, 223], 'poly_str': '1 8 223 ', 'primitive_models': [], 'principal_polarization_count': 18, 'q': 223, 'real_poly': [1, 8], 'simple_distinct': ['1.223.i'], 'simple_factors': ['1.223.iA'], 'simple_multiplicities': [1], 'size': 18, 'slopes': ['0A', '1A'], 'splitting_field': '2.0.23.1', 'splitting_polynomials': [[6, -1, 1]], 'twist_count': 2, 'twists': [['1.223.ai', '1.49729.os', 2]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '1.223.i', 'extension_degree': 1, 'extension_label': '1.223.i', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.23.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.223.i', 'galois_group': '2T1', 'places': [['186', '1'], ['36', '1']]}
