# Stored data for abelian variety isogeny class 2.89.bg_qs, downloaded from the LMFDB on 17 April 2026.
{"abvar_count": 11236, "abvar_counts": [11236, 61528336, 496734582436, 3937813504000000, 31180151242211268196, 246991774204787534165776, 1956410140752080351278232356, 15496731663467893210497024000000, 122749609875844093236215439850928356, 972299657256893503353926692896789177616], "abvar_counts_str": "11236 61528336 496734582436 3937813504000000 31180151242211268196 246991774204787534165776 1956410140752080351278232356 15496731663467893210497024000000 122749609875844093236215439850928356 972299657256893503353926692896789177616 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.822192315510647, 0.822192315510647], "center_dim": 2, "curve_count": 122, "curve_counts": [122, 7766, 704618, 62761758, 5583778522, 496984048886, 44231315771338, 3936588866233918, 350356404441028922, 31181719912842150806], "curve_counts_str": "122 7766 704618 62761758 5583778522 496984048886 44231315771338 3936588866233918 350356404441028922 31181719912842150806 ", "curves": ["y^2=45*x^6+31*x^5+53*x^4+39*x^3+73*x^2+73*x+55", "y^2=81*x^6+83*x^5+50*x^4+42*x^3+21*x^2+3*x+80", "y^2=15*x^6+64*x^5+34*x^4+35*x^3+66*x^2+75*x+72", "y^2=64*x^6+54*x^5+50*x^4+69*x^3+4*x^2+19*x+85", "y^2=71*x^6+9*x^4+9*x^2+71", "y^2=36*x^6+17*x^5+33*x^4+36*x^3+7*x^2+10*x+34", "y^2=68*x^6+6*x^5+58*x^4+29*x^3+24*x^2+75*x+8", "y^2=32*x^6+56*x^5+13*x^4+84*x^3+43*x^2+37*x+80", "y^2=38*x^6+87*x^5+5*x^4+80*x^3+28*x^2+68*x+78"], "dim1_distinct": 1, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["2T1"], "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": 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]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 9, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 9, "label": "2.89.bg_qs", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 53], "number_fields": ["2.0.4.1"], "p": 89, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 32, 434, 2848, 7921], "poly_str": "1 32 434 2848 7921 ", "primitive_models": [], "q": 89, "real_poly": [1, 32, 256], "simple_distinct": ["1.89.q"], "simple_factors": ["1.89.qA", "1.89.qB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 16, "twists": [["2.89.abg_qs", "2.7921.aga_bgli", 2], ["2.89.a_ada", "2.7921.aga_bgli", 2], ["2.89.aq_gl", "2.704969.ano_ddznu", 3], ["2.89.aba_na", "2.62742241.bcwq_sozbus", 4], ["2.89.au_ks", "2.62742241.bcwq_sozbus", 4], ["2.89.ag_s", "2.62742241.bcwq_sozbus", 4], ["2.89.a_da", "2.62742241.bcwq_sozbus", 4], ["2.89.g_s", "2.62742241.bcwq_sozbus", 4], ["2.89.u_ks", "2.62742241.bcwq_sozbus", 4], ["2.89.ba_na", "2.62742241.bcwq_sozbus", 4], ["2.89.q_gl", "2.496981290961.gaxua_nwncqhtzy", 6], ["2.89.a_age", "2.3936588805702081.fcmado_ckgulfbhtksc", 8], ["2.89.a_ge", "2.3936588805702081.fcmado_ckgulfbhtksc", 8], ["2.89.ak_l", "2.246990403565262140303521.airzwmjwae_befpvymugjpqvbdwag", 12], ["2.89.k_l", "2.246990403565262140303521.airzwmjwae_befpvymugjpqvbdwag", 12]]}