# Stored data for abelian variety isogeny class 3.11.g_bh_ea, downloaded from the LMFDB on 06 October 2025.
{"abvar_count": 2564, "abvar_counts": [2564, 2287088, 2242112876, 3189078913792, 4154099602704964, 5551283977560405872, 7406283760873118418796, 9850266125661092311646208, 13109633543221881882326897156, 17449194814886330391987012474608], "abvar_counts_str": "2564 2287088 2242112876 3189078913792 4154099602704964 5551283977560405872 7406283760873118418796 9850266125661092311646208 13109633543221881882326897156 17449194814886330391987012474608 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.408306355326539, 0.655644006368595, 0.755360388791068], "center_dim": 6, "curve_count": 18, "curve_counts": [18, 152, 1266, 14876, 160158, 1768808, 19503054, 214370492, 2357882826, 25937116232], "curve_counts_str": "18 152 1266 14876 160158 1768808 19503054 214370492 2357882826 25937116232 ", "curves": ["y^2=5*x^8+7*x^7+9*x^6+9*x^5+6*x^4+7*x^3+7*x^2+x+2", "y^2=x^8+6*x^7+3*x^6+4*x^5+7*x^4+4*x^3+10*x^2+x+8", "y^2=8*x^8+9*x^7+5*x^6+10*x^5+3*x^4+3*x^3+8*x^2+8*x+4", "y^2=4*x^8+9*x^7+7*x^6+7*x^5+7*x^4+3*x^3+4*x^2+4*x+10", "y^2=x^8+2*x^7+3*x^6+3*x^5+5*x^4+7*x^3+8*x", "y^2=x^8+6*x^7+4*x^6+9*x^5+7*x^4+x^3+4*x^2+5*x+5", "y^2=x^8+9*x^7+8*x^6+9*x^5+7*x^4+6*x^3+6*x+8", "y^2=5*x^8+x^7+6*x^6+8*x^5+8*x^4+3*x^3+3*x^2+3*x+8", "y^2=6*x^8+8*x^6+5*x^5+8*x^4+7*x^3+3*x+1", "y^2=x^8+7*x^7+2*x^6+6*x^5+2*x^4+3*x^3+9*x^2+9*x+1", "y^2=4*x^8+8*x^7+2*x^6+4*x^4+2*x^3+2*x^2+6*x+9", "y^2=9*x^8+3*x^7+9*x^6+x^5+10*x^4+7*x^3+4*x^2+5*x+10"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 1, "dim3_factors": 1, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["6T11"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 0, "geom_dim2_factors": 0, "geom_dim3_distinct": 1, "geom_dim3_factors": 1, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["6T11"], "geometric_number_fields": ["6.0.1053340848.1"], "geometric_splitting_field": "6.0.1053340848.1", "geometric_splitting_polynomials": [[281, 261, 54, 7, 18, -3, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 12, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.11.g_bh_ea", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "number_fields": ["6.0.1053340848.1"], "p": 11, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 6, 33, 104, 363, 726, 1331], "poly_str": "1 6 33 104 363 726 1331 ", "primitive_models": [], "q": 11, "real_poly": [1, 6, 0, -28], "simple_distinct": ["3.11.g_bh_ea"], "simple_factors": ["3.11.g_bh_eaA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.1053340848.1", "splitting_polynomials": [[281, 261, 54, 7, 18, -3, 1]], "twist_count": 2, "twists": [["3.11.ag_bh_aea", "3.121.be_vv_kmu", 2]]}