Formats: - HTML - YAML - JSON - 2026-07-15T20:42:59.178477
Query: /api/av_fq_isog/?_offset=0
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{'abvar_count': 7, 'abvar_counts': [7, 91, 784, 6643, 58807, 529984, 4780783, 43053283, 387459856, 3486843451], 'abvar_counts_str': '7 91 784 6643 58807 529984 4780783 43053283 387459856 3486843451 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 0, 'angles': [0.333333333333333], 'center_dim': 2, 'curve_count': 7, 'curve_counts': [7, 91, 784, 6643, 58807, 529984, 4780783, 43053283, 387459856, 3486843451], 'curve_counts_str': '7 91 784 6643 58807 529984 4780783 43053283 387459856 3486843451 ', 'curves': ['y^2=x^3+x+(2*a+1)'], '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': 1, 'geometric_extension_degree': 3, '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': 0, 'id': 53, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': False, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': True, 'jacobian_count': 1, 'label': '1.9.ad', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 12, 'newton_coelevation': 0, 'newton_elevation': 1, 'noncyclic_primes': [], 'number_fields': ['2.0.3.1'], 'p': 3, 'p_rank': 0, 'p_rank_deficit': 1, 'poly': [1, -3, 9], 'poly_str': '1 -3 9 ', 'primitive_models': ['1.3.ad', '1.3.d'], 'principal_polarization_count': 1, 'q': 9, 'real_poly': [1, -3], 'simple_distinct': ['1.9.ad'], 'simple_factors': ['1.9.adA'], 'simple_multiplicities': [1], 'size': 1, 'slopes': ['1/2A', '1/2B'], 'splitting_field': '2.0.3.1', 'splitting_polynomials': [[1, -1, 1]], 'twist_count': 5, 'twists': [['1.9.d', '1.81.j', 2], ['1.9.g', '1.729.cc', 3], ['1.9.ag', '1.531441.acec', 6], ['1.9.a', '1.282429536481.acimic', 12]]}