# Stored data for abelian variety isogeny class 2.5.ad_e, downloaded from the LMFDB on 02 May 2024.
{"label": "2.5.ad_e", "g": 2, "p": 5, "q": 5, "poly": [1, -3, 4, -15, 25], "poly_str": "1 -3 4 -15 25 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.0673911931187034, 0.599275473547963], "angle_rank": 1, "number_fields": ["4.0.1089.1"], "galois_groups": ["4T2"], "center_dim": 4, "abvar_counts": [12, 576, 11664, 361728, 9943932, 241864704, 6064084668, 153038435328, 3818287953936, 95338124237376], "abvar_counts_str": "12 576 11664 361728 9943932 241864704 6064084668 153038435328 3818287953936 95338124237376 ", "abvar_count": 12, "curve_counts": [3, 25, 90, 577, 3183, 15478, 77619, 391777, 1954962, 9762625], "curve_counts_str": "3 25 90 577 3183 15478 77619 391777 1954962 9762625 ", "curve_count": 3, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 3, "geometric_center_dim": 2, "geometric_number_fields": ["2.0.11.1"], "geometric_galois_groups": ["2T1"], "primitive_models": [], "is_primitive": true, "twists": [["2.5.d_e", "2.25.ab_ay", 2], ["2.5.g_t", "2.125.abk_wc", 3], ["2.5.ag_t", "2.15625.afs_ccio", 6], ["2.5.a_b", "2.15625.afs_ccio", 6], ["2.5.d_e", "2.15625.afs_ccio", 6], ["2.5.a_ab", "2.244140625.cygq_dtaeymo", 12]], "twist_count": 6, "max_twist_degree": 12, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": false, "simple_distinct": ["2.5.ad_e"], "simple_multiplicities": [1], "simple_factors": ["2.5.ad_eA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 2, "geom_dim2_factors": 0, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 1, "geom_dim2_distinct": 0, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -3, -6], "jacobian_count": 3, "curves": ["y^2=3*x^5+3*x^4+x^3+3*x^2+2*x", "y^2=3*x^6+2*x^5+2*x^4+x^3+4*x^2+x+2", "y^2=2*x^5+x^4+x^2+x+3"], "hyp_count": 3, "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 16, "geometric_splitting_field": "2.0.11.1", "splitting_field": "4.0.1089.1", "geometric_splitting_polynomials": [[3, -1, 1]], "splitting_polynomials": [[9, -3, -2, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": false, "size": 3, "principal_polarization_count": 3, "pic_prime_gens": []}