# Stored data for abelian variety isogeny class 1.89.k, downloaded from the LMFDB on 11 July 2026.
{"abvar_count": 100, "abvar_counts": [100, 8000, 703300, 62752000, 5584110500, 496979912000, 44231344141700, 3936588835968000, 350356402581916900, 31181719938528200000], "abvar_counts_str": "100 8000 703300 62752000 5584110500 496979912000 44231344141700 3936588835968000 350356402581916900 31181719938528200000 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.677807684489353], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 100, "curve_counts": [100, 8000, 703300, 62752000, 5584110500, 496979912000, 44231344141700, 3936588835968000, 350356402581916900, 31181719938528200000], "curve_counts_str": "100 8000 703300 62752000 5584110500 496979912000 44231344141700 3936588835968000 350356402581916900 31181719938528200000 ", "curves": ["y^2=x^3+44*x+43", "y^2=x^3+x+1", "y^2=x^3+83*x+83", "y^2=x^3+20*x+20", "y^2=x^3+83*x+71", "y^2=x^3+75*x+47", "y^2=x^3+5*x", "y^2=x^3+10*x+10"], "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": 4, "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": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 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": 8, "label": "1.89.k", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 1, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.4.1"], "p": 89, "p_rank": 1, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 4]], "poly": [1, 10, 89], "poly_str": "1 10 89 ", "primitive_models": [], "principal_polarization_count": 8, "q": 89, "real_poly": [1, 10], "simple_distinct": ["1.89.k"], "simple_factors": ["1.89.kA"], "simple_multiplicities": [1], "singular_primes": ["2,F+1"], "size": 8, "slopes": ["0A", "1A"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 4, "twists": [["1.89.ak", "1.7921.da", 2], ["1.89.aq", "1.62742241.oli", 4], ["1.89.q", "1.62742241.oli", 4]], "weak_equivalence_count": 4, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 4, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 256, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F+1"]}