# Stored data for abelian variety isogeny class 1.89.g, downloaded from the LMFDB on 01 November 2025.
{"abvar_count": 96, "abvar_counts": [96, 8064, 703584, 62737920, 5584208736, 496980779904, 44231324675424, 3936588912506880, 350356403976245856, 31181719918847992704], "abvar_counts_str": "96 8064 703584 62737920 5584208736 496980779904 44231324675424 3936588912506880 350356403976245856 31181719918847992704 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.603010988688874], "center_dim": 2, "cohen_macaulay_max": 1, "curve_count": 96, "curve_counts": [96, 8064, 703584, 62737920, 5584208736, 496980779904, 44231324675424, 3936588912506880, 350356403976245856, 31181719918847992704], "curve_counts_str": "96 8064 703584 62737920 5584208736 496980779904 44231324675424 3936588912506880 350356403976245856 31181719918847992704 ", "curves": ["y^2=x^3+76*x+50", "y^2=x^3+57*x+57", "y^2=x^3+25*x+75", "y^2=x^3+67*x+67", "y^2=x^3+40*x+31", "y^2=x^3+80*x+80", "y^2=x^3+27*x+27", "y^2=x^3+77*x+77", "y^2=x^3+25*x+25", "y^2=x^3+74*x+44", "y^2=x^3+36*x+19", "y^2=x^3+35*x+35", "y^2=x^3+71*x+35", "y^2=x^3+81*x+81"], "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": 3, "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": ["2.0.20.1"], "geometric_splitting_field": "2.0.20.1", "geometric_splitting_polynomials": [[5, 0, 1]], "group_structure_count": 3, "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": 14, "label": "1.89.g", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.20.1"], "p": 89, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, 6, 89], "poly_str": "1 6 89 ", "primitive_models": [], "principal_polarization_count": 14, "q": 89, "real_poly": [1, 6], "simple_distinct": ["1.89.g"], "simple_factors": ["1.89.gA"], "simple_multiplicities": [1], "singular_primes": ["2,F-1"], "size": 14, "slopes": ["0A", "1A"], "splitting_field": "2.0.20.1", "splitting_polynomials": [[5, 0, 1]], "twist_count": 2, "twists": [["1.89.ag", "1.7921.fm", 2]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 320, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-1"]}