# Stored data for abelian variety isogeny class 2.5.a_k, downloaded from the LMFDB on 22 November 2024.
{"abvar_count": 36, "abvar_counts": [36, 1296, 15876, 331776, 9771876, 252047376, 6103671876, 151613669376, 3814701171876, 95489560559376], "abvar_counts_str": "36 1296 15876 331776 9771876 252047376 6103671876 151613669376 3814701171876 95489560559376 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.5, 0.5], "center_dim": 2, "curve_count": 6, "curve_counts": [6, 46, 126, 526, 3126, 16126, 78126, 388126, 1953126, 9778126], "curve_counts_str": "6 46 126 526 3126 16126 78126 388126 1953126 9778126 ", "curves": ["y^2=x^5+x", "y^2=x^6+3"], "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": 1, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": true, "jacobian_count": 2, "label": "2.5.a_k", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 20, "newton_coelevation": 0, "newton_elevation": 2, "number_fields": ["2.0.20.1"], "p": 5, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, 0, 10, 0, 25], "poly_str": "1 0 10 0 25 ", "primitive_models": [], "q": 5, "real_poly": [1], "simple_distinct": ["1.5.a"], "simple_factors": ["1.5.aA", "1.5.aB"], "simple_multiplicities": [2], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "2.0.20.1", "splitting_polynomials": [[5, 0, 1]], "twist_count": 7, "twists": [["2.5.a_af", "2.125.a_jq", 3], ["2.5.a_ak", "2.625.adw_fog", 4], ["2.5.a_a", "2.390625.adse_fdjcg", 8], ["2.5.a_f", "2.244140625.adolw_ethnkqg", 12], ["2.5.af_p", "2.95367431640625.adhmmtw_ebkchrkshsg", 20], ["2.5.f_p", "2.95367431640625.adhmmtw_ebkchrkshsg", 20]]}