# Stored data for abelian variety isogeny class 1.59.a, downloaded from the LMFDB on 15 July 2026.
{"abvar_count": 60, "abvar_counts": [60, 3600, 205380, 12110400, 714924300, 42180944400, 2488651484820, 146830413369600, 8662995818654940, 511116754730490000], "abvar_counts_str": "60 3600 205380 12110400 714924300 42180944400 2488651484820 146830413369600 8662995818654940 511116754730490000 ", "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": 60, "curve_counts": [60, 3600, 205380, 12110400, 714924300, 42180944400, 2488651484820, 146830413369600, 8662995818654940, 511116754730490000], "curve_counts_str": "60 3600 205380 12110400 714924300 42180944400 2488651484820 146830413369600 8662995818654940 511116754730490000 ", "curves": ["y^2=x^3+21*x+42", "y^2=x^3+58*x+58", "y^2=x^3+2", "y^2=x^3+x+2", "y^2=x^3+15*x+15", "y^2=x^3+44*x+44", "y^2=x^3+55*x+51", "y^2=x^3+20*x+20", "y^2=x^3+2*x", "y^2=x^3+1", "y^2=x^3+x", "y^2=x^3+58*x+57"], "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": 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": 2, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 12, "label": "1.59.a", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 1, "newton_coelevation": 0, "newton_elevation": 1, "noncyclic_primes": [2], "number_fields": ["2.0.59.1"], "p": 59, "p_rank": 0, "p_rank_deficit": 1, "poly": [1, 0, 59], "poly_str": "1 0 59 ", "primitive_models": [], "principal_polarization_count": 12, "q": 59, "real_poly": [1], "simple_distinct": ["1.59.a"], "simple_factors": ["1.59.aA"], "simple_multiplicities": [1], "singular_primes": ["2,F+1"], "size": 12, "slopes": ["1/2A", "1/2B"], "splitting_field": "2.0.59.1", "splitting_polynomials": [[15, -1, 1]], "twist_count": 1, "twists": [], "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": 236, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}