# Stored data for abelian variety isogeny class 2.5.ac_l, downloaded from the LMFDB on 25 April 2026.
{"abvar_count": 25, "abvar_counts": [25, 1225, 19600, 354025, 9150625, 245862400, 6191329225, 152814537225, 3804918384400, 95290298805625], "abvar_counts_str": "25 1225 19600 354025 9150625 245862400 6191329225 152814537225 3804918384400 95290298805625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.428216853435647, 0.428216853435647], "center_dim": 2, "curve_count": 4, "curve_counts": [4, 44, 154, 564, 2924, 15734, 79244, 391204, 1948114, 9757724], "curve_counts_str": "4 44 154 564 2924 15734 79244 391204 1948114 9757724 ", "curves": ["y^2=4*x^6+x^5+x^4+x^3+x^2+x+4"], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -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.ac_l", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [5], "number_fields": ["2.0.19.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -2, 11, -10, 25], "poly_str": "1 -2 11 -10 25 ", "primitive_models": [], "q": 5, "real_poly": [1, -2, 1], "simple_distinct": ["1.5.ab"], "simple_factors": ["1.5.abA", "1.5.abB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 6, "twists": [["2.5.a_j", "2.25.s_fb", 2], ["2.5.c_l", "2.25.s_fb", 2], ["2.5.b_ae", "2.125.bc_re", 3], ["2.5.a_aj", "2.625.ack_dhb", 4], ["2.5.ab_ae", "2.15625.ee_byoc", 6]]}