# Stored data for abelian variety isogeny class 2.11.e_i, downloaded from the LMFDB on 21 June 2026.
{"abvar_count": 178, "abvar_counts": [178, 14596, 1909762, 213043216, 25790320498, 3138430299844, 379735725132802, 45961377577058304, 5559679873229892082, 672749994890176985476], "abvar_counts_str": "178 14596 1909762 213043216 25790320498 3138430299844 379735725132802 45961377577058304 5559679873229892082 672749994890176985476 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.390218899003772, 0.890218899003772], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 16, "curve_counts": [16, 122, 1432, 14550, 160136, 1771562, 19486448, 214413214, 2357846992, 25937424602], "curve_counts_str": "16 122 1432 14550 160136 1771562 19486448 214413214 2357846992 25937424602 ", "curves": ["y^2=9*x^6+2*x^5+5*x^4+8*x^3+5*x^2+3*x+3", "y^2=3*x^6+3*x^5+10*x^4+9*x^3+6*x", "y^2=6*x^6+3*x^5+10*x^4+4*x^3+4*x+10", "y^2=x^6+9*x^5+7*x^4+10*x^3+6*x+9", "y^2=8*x^6+6*x^5+3*x^4+7*x^3+2*x^2+2*x+5", "y^2=4*x^5+10*x^4+10*x^3+6*x+3", "y^2=9*x^6+4*x^5+4*x^4+4*x^2+7*x+9", "y^2=10*x^5+4*x^3+x^2+8"], "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": 4, "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": 4, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 8, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 8, "label": "2.11.e_i", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 24, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.256.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 4, 8, 44, 121], "poly_str": "1 4 8 44 121 ", "primitive_models": [], "q": 11, "real_poly": [1, 4, -14], "simple_distinct": ["2.11.e_i"], "simple_factors": ["2.11.e_iA"], "simple_multiplicities": [1], "singular_primes": ["3,4*F+4*V+17", "7,F-V-7"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.256.1", "splitting_polynomials": [[1, 0, 0, 0, 1]], "twist_count": 8, "twists": [["2.11.ae_i", "2.121.a_abu", 2], ["2.11.ae_i", "2.14641.ado_bulq", 4], ["2.11.am_cg", "2.214358881.dcjs_dufcvji", 8], ["2.11.a_ao", "2.214358881.dcjs_dufcvji", 8], ["2.11.a_o", "2.214358881.dcjs_dufcvji", 8], ["2.11.m_cg", "2.214358881.dcjs_dufcvji", 8], ["2.11.ag_z", "2.9849732675807611094711841.ysbprawjk_xgexqftkcmwlirhcuo", 24], ["2.11.g_z", "2.9849732675807611094711841.ysbprawjk_xgexqftkcmwlirhcuo", 24]], "weak_equivalence_count": 4, "zfv_index": 63, "zfv_index_factorization": [[3, 2], [7, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 3, "zfv_plus_index_factorization": [[3, 1]], "zfv_plus_norm": 196, "zfv_singular_count": 4, "zfv_singular_primes": ["3,4*F+4*V+17", "7,F-V-7"]}