# Stored data for abelian variety isogeny class 3.23.g_cx_kl, downloaded from the LMFDB on 14 September 2026.
{"abvar_count": 17419, "abvar_counts": [17419, 183195623, 1754282191636, 21809170902953551, 266917134741022140944, 3244254837614565541258544, 39470960485107502569466823669, 480251282484114289471928837482575, 5843206830916006977668195002580972884, 71094353407695996092726115951568783463168], "abvar_counts_str": "17419 183195623 1754282191636 21809170902953551 266917134741022140944 3244254837614565541258544 39470960485107502569466823669 480251282484114289471928837482575 5843206830916006977668195002580972884 71094353407695996092726115951568783463168 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.482438367999982, 0.572555853000845, 0.650258719525357], "center_dim": 6, "curve_count": 30, "curve_counts": [30, 644, 11847, 278492, 6443145, 148040633, 3404771652, 78311069828, 1801151362317, 41426513903699], "curve_counts_str": "30 644 11847 278492 6443145 148040633 3404771652 78311069828 1801151362317 41426513903699 ", "curves": ["y^2=22*x^8+7*x^7+2*x^6+3*x^5+9*x^4+18*x^3+3*x^2+20*x+13"], "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": ["6.0.409383800271.1"], "geometric_splitting_field": "6.0.409383800271.1", "geometric_splitting_polynomials": [[10517, -261, 1317, -11, 60, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "label": "3.23.g_cx_kl", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["6.0.409383800271.1"], "p": 23, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, 6, 75, 271, 1725, 3174, 12167], "poly_str": "1 6 75 271 1725 3174 12167 ", "primitive_models": [], "q": 23, "real_poly": [1, 6, 6, -5], "simple_distinct": ["3.23.g_cx_kl"], "simple_factors": ["3.23.g_cx_klA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "6.0.409383800271.1", "splitting_polynomials": [[10517, -261, 1317, -11, 60, 0, 1]], "twist_count": 2, "twists": [["3.23.ag_cx_akl", "3.529.ek_ipz_jtuh", 2]]}