# Stored data for abelian variety isogeny class 1.59.ae, downloaded from the LMFDB on 29 October 2025.
{"abvar_count": 56, "abvar_counts": [56, 3584, 206024, 12113920, 714872536, 42180529664, 2488654522984, 146830449991680, 8662995688952696, 511116752050978304], "abvar_counts_str": "56 3584 206024 12113920 714872536 42180529664 2488654522984 146830449991680 8662995688952696 511116752050978304 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.416152878125519], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 56, "curve_counts": [56, 3584, 206024, 12113920, 714872536, 42180529664, 2488654522984, 146830449991680, 8662995688952696, 511116752050978304], "curve_counts_str": "56 3584 206024 12113920 714872536 42180529664 2488654522984 146830449991680 8662995688952696 511116752050978304 ", "curves": ["y^2=x^3+41*x+23", "y^2=x^3+45*x+45", "y^2=x^3+48*x+37", "y^2=x^3+18*x+18", "y^2=x^3+24*x+24", "y^2=x^3+8*x+16", "y^2=x^3+38*x+38", "y^2=x^3+27*x+54"], "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": 2, "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": ["2.0.55.1"], "geometric_splitting_field": "2.0.55.1", "geometric_splitting_polynomials": [[14, -1, 1]], "group_structure_count": 2, "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": 8, "label": "1.59.ae", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.55.1"], "p": 59, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -4, 59], "poly_str": "1 -4 59 ", "primitive_models": [], "principal_polarization_count": 8, "q": 59, "real_poly": [1, -4], "simple_distinct": ["1.59.ae"], "simple_factors": ["1.59.aeA"], "simple_multiplicities": [1], "singular_primes": ["2,F-1"], "size": 8, "slopes": ["0A", "1A"], "splitting_field": "2.0.55.1", "splitting_polynomials": [[14, -1, 1]], "twist_count": 2, "twists": [["1.59.e", "1.3481.dy", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 220, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-1"]}