# Stored data for abelian variety isogeny class 2.89.a_ags, downloaded from the LMFDB on 29 September 2025.
{"abvar_count": 7748, "abvar_counts": [7748, 60031504, 496980157700, 3934777896484864, 31181719924525829828, 246989277147516869290000, 1956410986640433990675336068, 15496730772839939023248419979264, 122749609618842355736622960331967300, 972299657451571122625038683152014509584], "abvar_counts_str": "7748 60031504 496980157700 3934777896484864 31181719924525829828 246989277147516869290000 1956410986640433990675336068 15496730772839939023248419979264 122749609618842355736622960331967300 972299657451571122625038683152014509584 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0338042870638837, 0.966195712936116], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 90, "curve_counts": [90, 7574, 704970, 62713374, 5584059450, 496979024438, 44231334895530, 3936588639990334, 350356403707485210, 31181719919085476054], "curve_counts_str": "90 7574 704970 62713374 5584059450 496979024438 44231334895530 3936588639990334 350356403707485210 31181719919085476054 ", "curves": ["y^2=78*x^6+42*x^5+37*x^4+74*x^2+10*x+1", "y^2=60*x^6+77*x^5+76*x^4+x^3+9*x^2+19*x+11", "y^2=44*x^6+28*x^5+88*x^4+34*x^2+28*x+72", "y^2=35*x^6+14*x^5+82*x^4+87*x^3+44*x^2+70*x+57", "y^2=23*x^6+5*x^5+71*x^4+x^3+27*x^2+78*x+67", "y^2=82*x^6+48*x^5+30*x^4+23*x^3+42*x^2+30*x+5", "y^2=35*x^6+8*x^5+78*x^4+11*x^2+81*x+54", "y^2=12*x^6+13*x^5+43*x^4+62*x^2+60*x+30", "y^2=43*x^6+77*x^5+82*x^4+29*x^2+77*x+51"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 6, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "geom_dim1_factors": 2, "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.88.1"], "geometric_splitting_field": "2.0.88.1", "geometric_splitting_polynomials": [[22, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 9, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 9, "label": "2.89.a_ags", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.30976.2"], "p": 89, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -174, 0, 7921], "poly_str": "1 0 -174 0 7921 ", "primitive_models": [], "q": 89, "real_poly": [1, 0, -352], "simple_distinct": ["2.89.a_ags"], "simple_factors": ["2.89.a_agsA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2-2*F+V+4"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.30976.2", "splitting_polynomials": [[121, 0, 0, 0, 1]], "twist_count": 6, "twists": [["2.89.ae_ha", "2.62742241.abqsi_bccnfsw", 4], ["2.89.a_gs", "2.62742241.abqsi_bccnfsw", 4], ["2.89.e_ha", "2.62742241.abqsi_bccnfsw", 4], ["2.89.ac_adh", "2.246990403565262140303521.acuhpuomae_ngtzrqbkogwixncag", 12], ["2.89.c_adh", "2.246990403565262140303521.acuhpuomae_ngtzrqbkogwixncag", 12]], "weak_equivalence_count": 6, "zfv_index": 32, "zfv_index_factorization": [[2, 5]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 16, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2-2*F+V+4"]}