# Stored data for abelian variety isogeny class 2.59.abe_nf, downloaded from the LMFDB on 30 October 2025.
{"abvar_count": 2025, "abvar_counts": [2025, 11390625, 41885715600, 146721740765625, 511081259355275625, 1779188337541476000000, 6193385466525346364568225, 21559178611542356580009515625, 75047497773274099190681894336400, 261240336336245166065781281337890625], "abvar_counts_str": "2025 11390625 41885715600 146721740765625 511081259355275625 1779188337541476000000 6193385466525346364568225 21559178611542356580009515625 75047497773274099190681894336400 261240336336245166065781281337890625 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0692665268585578, 0.0692665268585578], "center_dim": 2, "curve_count": 30, "curve_counts": [30, 3268, 203940, 12108388, 714874650, 42180318358, 2488651184910, 146830445807428, 8662995959396220, 511116754927777348], "curve_counts_str": "30 3268 203940 12108388 714874650 42180318358 2488651184910 146830445807428 8662995959396220 511116754927777348 ", "curves": ["y^2=47*x^6+8*x^5+52*x^4+17*x^3+13*x^2+30*x+33"], "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_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 1, "label": "2.59.abe_nf", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.11.1"], "p": 59, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -30, 343, -1770, 3481], "poly_str": "1 -30 343 -1770 3481 ", "primitive_models": [], "q": 59, "real_poly": [1, -30, 225], "simple_distinct": ["1.59.ap"], "simple_factors": ["1.59.apA", "1.59.apB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.11.1", "splitting_polynomials": [[3, -1, 1]], "twist_count": 6, "twists": [["2.59.a_aed", "2.3481.aig_bbgd", 2], ["2.59.be_nf", "2.3481.aig_bbgd", 2], ["2.59.p_gk", "2.205379.acdk_cawmw", 3], ["2.59.a_ed", "2.12117361.anhe_dtcizj", 4], ["2.59.ap_gk", "2.42180533641.amgme_lypmpnec", 6]]}