# Stored data for abelian variety isogeny class 1.89.o, downloaded from the LMFDB on 14 September 2026.
{"abvar_count": 104, "abvar_counts": [104, 7904, 703976, 62757760, 5583930664, 496981712864, 44231340450856, 3936588690378240, 350356404827594984, 31181719924548468704], "abvar_counts_str": "104 7904 703976 62757760 5583930664 496981712864 44231340450856 3936588690378240 350356404827594984 31181719924548468704 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.766121877122982], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 104, "curve_counts": [104, 7904, 703976, 62757760, 5583930664, 496981712864, 44231340450856, 3936588690378240, 350356404827594984, 31181719924548468704], "curve_counts_str": "104 7904 703976 62757760 5583930664 496981712864 44231340450856 3936588690378240 350356404827594984 31181719924548468704 ", "curves": ["y^2=x^3+20*x+60", "y^2=x^3+2*x+2", "y^2=x^3+60*x+2", "y^2=x^3+59*x+59", "y^2=x^3+42*x+42", "y^2=x^3+14*x+14"], "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": ["2.0.40.1"], "geometric_splitting_field": "2.0.40.1", "geometric_splitting_polynomials": [[10, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "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": false, "jacobian_count": 6, "label": "1.89.o", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.40.1"], "p": 89, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 2], [1, 7, 1, 2]], "poly": [1, 14, 89], "poly_str": "1 14 89 ", "primitive_models": [], "principal_polarization_count": 6, "q": 89, "real_poly": [1, 14], "simple_distinct": ["1.89.o"], "simple_factors": ["1.89.oA"], "simple_multiplicities": [1], "singular_primes": ["2,F+1"], "size": 6, "slopes": ["0A", "1A"], "splitting_field": "2.0.40.1", "splitting_polynomials": [[10, 0, 1]], "twist_count": 2, "twists": [["1.89.ao", "1.7921.as", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 160, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}