# Stored data for abelian variety isogeny class 1.9.d, downloaded from the LMFDB on 23 April 2026.
{"abvar_count": 13, "abvar_counts": [13, 91, 676, 6643, 59293, 529984, 4785157, 43053283, 387381124, 3486843451], "abvar_counts_str": "13 91 676 6643 59293 529984 4785157 43053283 387381124 3486843451 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 0, "angles": [0.666666666666667], "center_dim": 2, "curve_count": 13, "curve_counts": [13, 91, 676, 6643, 59293, 529984, 4785157, 43053283, 387381124, 3486843451], "curve_counts_str": "13 91 676 6643 59293 529984 4785157 43053283 387381124 3486843451 ", "curves": ["y^2=x^3+(a+1)*x+a"], "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, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 1, "label": "1.9.d", "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": [], "principal_polarization_count": 1, "q": 9, "real_poly": [1, 3], "simple_distinct": ["1.9.d"], "simple_factors": ["1.9.dA"], "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.ad", "1.81.j", 2], ["1.9.ag", "1.729.acc", 3], ["1.9.g", "1.531441.acec", 6], ["1.9.a", "1.282429536481.acimic", 12]]}