# Stored data for abelian variety isogeny class 2.5.ag_t, downloaded from the LMFDB on 15 June 2026.
{"abvar_count": 9, "abvar_counts": [9, 729, 20736, 455625, 10131489, 241864704, 6024709161, 151690775625, 3811116075264, 95426073465129], "abvar_counts_str": "9 729 20736 455625 10131489 241864704 6024709161 151690775625 3811116075264 95426073465129 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.26594214021463, 0.26594214021463], "center_dim": 2, "curve_count": 0, "curve_counts": [0, 28, 162, 724, 3240, 15478, 77112, 388324, 1951290, 9771628], "curve_counts_str": "0 28 162 724 3240 15478 77112 388324 1951290 9771628 ", "curves": ["y^2=2*x^6+4*x^5+4*x^4+2*x^3+4*x^2+4*x+2"], "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": ["2.0.11.1"], "geometric_splitting_field": "2.0.11.1", "geometric_splitting_polynomials": [[3, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 1, "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": 1, "label": "2.5.ag_t", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [3], "number_fields": ["2.0.11.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -6, 19, -30, 25], "poly_str": "1 -6 19 -30 25 ", "primitive_models": [], "q": 5, "real_poly": [1, -6, 9], "simple_distinct": ["1.5.ad"], "simple_factors": ["1.5.adA", "1.5.adB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.11.1", "splitting_polynomials": [[3, -1, 1]], "twist_count": 6, "twists": [["2.5.a_b", "2.25.c_bz", 2], ["2.5.g_t", "2.25.c_bz", 2], ["2.5.d_e", "2.125.bk_wc", 3], ["2.5.a_ab", "2.625.du_fkl", 4], ["2.5.ad_e", "2.15625.afs_ccio", 6]]}