# Stored data for abelian variety isogeny class 2.5.af_p, downloaded from the LMFDB on 25 April 2026.
{"abvar_count": 11, "abvar_counts": [11, 781, 19151, 406901, 9759376, 246109501, 6152578751, 152832422501, 3808599606251, 95245419909376], "abvar_counts_str": "11 781 19151 406901 9759376 246109501 6152578751 152832422501 3808599606251 95245419909376 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.2, 0.4], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 1, "curve_counts": [1, 31, 151, 651, 3126, 15751, 78751, 391251, 1950001, 9753126], "curve_counts_str": "1 31 151 651 3126 15751 78751 391251 1950001 9753126 ", "curves": ["y^2=2*x^5+3*x+3", "y^2=2*x^6+x^5+x^3+3*x^2+x"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 2, "galois_groups": ["4T1"], "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": 10, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "group_structure_count": 1, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 2, "label": "2.5.af_p", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 60, "newton_coelevation": 0, "newton_elevation": 2, "noncyclic_primes": [], "number_fields": ["4.0.125.1"], "p": 5, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, -5, 15, -25, 25], "poly_str": "1 -5 15 -25 25 ", "primitive_models": [], "q": 5, "real_poly": [1, -5, 5], "simple_distinct": ["2.5.af_p"], "simple_factors": ["2.5.af_pA"], "simple_multiplicities": [1], "singular_primes": ["5,-V+15,-6*F+V-5"], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "4.0.125.1", "splitting_polynomials": [[1, -1, 1, -1, 1]], "twist_count": 7, "twists": [["2.5.a_ak", "2.3125.a_ajgk", 5], ["2.5.f_p", "2.3125.a_ajgk", 5], ["2.5.a_f", "2.30517578125.a_ahppbearq", 15], ["2.5.a_k", "2.95367431640625.adhmmtw_ebkchrkshsg", 20], ["2.5.a_f", "2.931322574615478515625.apfecibjg_diqdzialpfbabxlu", 30], ["2.5.a_a", "2.9094947017729282379150390625.acsgswlpuwme_ctfcthlwedgczoquaprkg", 40], ["2.5.a_af", "2.867361737988403547205962240695953369140625.acftlifizbmarjyhw_bwcobkdlhgadwryrvwzmbupxlwiydcg", 60]], "weak_equivalence_count": 2, "zfv_index": 5, "zfv_index_factorization": [[5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 125, "zfv_singular_count": 3, "zfv_singular_primes": ["5,-V+15,-6*F+V-5"]}