# Stored data for abelian variety isogeny class 1.5.a, downloaded from the LMFDB on 18 October 2025.
{"abvar_count": 6, "abvar_counts": [6, 36, 126, 576, 3126, 15876, 78126, 389376, 1953126, 9771876], "abvar_counts_str": "6 36 126 576 3126 15876 78126 389376 1953126 9771876 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 0, "angles": [0.5], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 6, "curve_counts": [6, 36, 126, 576, 3126, 15876, 78126, 389376, 1953126, 9771876], "curve_counts_str": "6 36 126 576 3126 15876 78126 389376 1953126 9771876 ", "curves": ["y^2=x^3+2", "y^2=x^3+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, "endomorphism_ring_count": 1, "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": 2, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "group_structure_count": 1, "has_geom_ss_factor": true, "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": true, "jacobian_count": 2, "label": "1.5.a", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 1, "newton_coelevation": 0, "newton_elevation": 1, "number_fields": ["2.0.20.1"], "p": 5, "p_rank": 0, "p_rank_deficit": 1, "poly": [1, 0, 5], "poly_str": "1 0 5 ", "primitive_models": [], "principal_polarization_count": 2, "q": 5, "real_poly": [1], "simple_distinct": ["1.5.a"], "simple_factors": ["1.5.aA"], "simple_multiplicities": [1], "singular_primes": [], "size": 2, "slopes": ["1/2A", "1/2B"], "splitting_field": "2.0.20.1", "splitting_polynomials": [[5, 0, 1]], "twist_count": 1, "twists": [], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 20, "zfv_singular_count": 0, "zfv_singular_primes": []}