# Stored data for abelian variety isogeny class 2.89.ba_nj, downloaded from the LMFDB on 06 September 2025.
{"abvar_count": 10609, "abvar_counts": [10609, 62900761, 495188060416, 3938566940548009, 31180697988451651249, 246990191715104744574976, 1956411952203347379254339809, 15496730457371443754004669618249, 122749610057903882314202477941033216, 972299657965130409259265295864656645401], "abvar_counts_str": "10609 62900761 495188060416 3938566940548009 31180697988451651249 246990191715104744574976 1956411952203347379254339809 15496730457371443754004669618249 122749610057903882314202477941033216 972299657965130409259265295864656645401 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.741949407250902, 0.741949407250902], "center_dim": 2, "curve_count": 116, "curve_counts": [116, 7940, 702422, 62773764, 5583876436, 496980864686, 44231356725364, 3936588559852804, 350356404960670598, 31181719935555359300], "curve_counts_str": "116 7940 702422 62773764 5583876436 496980864686 44231356725364 3936588559852804 350356404960670598 31181719935555359300 ", "curves": ["y^2=59*x^6+57*x^5+3*x^4+46*x^3+38*x^2+8*x+6", "y^2=24*x^6+25*x^5+6*x^4+6*x^3+80*x^2+19*x+47", "y^2=72*x^6+74*x^5+47*x^4+24*x^3+69*x^2+72*x+61", "y^2=46*x^6+55*x^5+36*x^4+35*x^3+51*x^2+41*x+50", "y^2=20*x^6+72*x^5+56*x^4+8*x^3+49*x^2+69*x+68", "y^2=30*x^6+57*x^5+50*x^4+50*x^3+4*x^2+76*x+9", "y^2=28*x^6+2*x^5+72*x^4+70*x^3+5*x^2+67*x+33", "y^2=79*x^6+30*x^5+2*x^4+23*x^3+65*x^2+47*x+68", "y^2=81*x^6+88*x^5+50*x^4+37*x^3+63*x^2+87*x+43", "y^2=88*x^6+78*x^5+21*x^4+32*x^3+25*x^2+50*x+79", "y^2=16*x^6+23*x^5+53*x^4+47*x^3+20*x^2+6*x+8", "y^2=39*x^6+84*x^5+56*x^4+87*x^3+41*x^2+49*x+25", "y^2=7*x^6+79*x^5+28*x^4+52*x^3+86*x^2+21*x+37", "y^2=80*x^6+48*x^5+51*x^4+56*x^3+61*x^2+45*x+30", "y^2=80*x^6+30*x^5+19*x^4+61*x^3+16*x^2+69*x+30", "y^2=57*x^6+49*x^5+74*x^4+4*x^3+49*x^2+84*x+32", "y^2=71*x^6+29*x^5+74*x^3+85*x^2+3*x+6"], "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": ["2.0.187.1"], "geometric_splitting_field": "2.0.187.1", "geometric_splitting_polynomials": [[47, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 17, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 17, "label": "2.89.ba_nj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.187.1"], "p": 89, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 26, 347, 2314, 7921], "poly_str": "1 26 347 2314 7921 ", "primitive_models": [], "q": 89, "real_poly": [1, 26, 169], "simple_distinct": ["1.89.n"], "simple_factors": ["1.89.nA", "1.89.nB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.187.1", "splitting_polynomials": [[47, -1, 1]], "twist_count": 6, "twists": [["2.89.aba_nj", "2.7921.s_xol", 2], ["2.89.a_j", "2.7921.s_xol", 2], ["2.89.an_dc", "2.704969.adua_gqosk", 3], ["2.89.a_aj", "2.62742241.buqk_bfmezbf", 4], ["2.89.n_dc", "2.496981290961.aygpg_ezkqqrizu", 6]]}