# Stored data for abelian variety isogeny class 2.17.ad_ai, downloaded from the LMFDB on 01 May 2026.
{"abvar_count": 228, "abvar_counts": [228, 76608, 22924944, 6979601664, 2012756156868, 582330257510400, 168386304583282692, 48660042060834591744, 14063050474052699031696, 4064236189344714271710528], "abvar_counts_str": "228 76608 22924944 6979601664 2012756156868 582330257510400 168386304583282692 48660042060834591744 14063050474052699031696 4064236189344714271710528 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.0481446514052545, 0.714811318071921], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 15, "curve_counts": [15, 265, 4662, 83569, 1417575, 24125470, 410359335, 6975592609, 118587589974, 2015996272825], "curve_counts_str": "15 265 4662 83569 1417575 24125470 410359335 6975592609 118587589974 2015996272825 ", "curves": ["y^2=2*x^6+9*x^5+13*x^4+x^3+15*x^2+3*x+2", "y^2=7*x^6+x^5+9*x^4+x^3+3*x^2+1", "y^2=8*x^6+8*x^5+14*x^4+9*x^2+6*x+8", "y^2=4*x^6+2*x^5+3*x^4+15*x^3+3*x^2+9*x+15", "y^2=7*x^6+4*x^5+7*x^4+5*x^3+8*x+4", "y^2=9*x^5+3*x^4+16*x^3+15*x^2+15*x+4", "y^2=12*x^6+7*x^5+x^4+2*x^3+10*x^2+14*x+12", "y^2=10*x^6+9*x^5+x^4+11*x^3+11*x^2+6*x", "y^2=x^6+16*x^5+15*x^4+x^3+4*x^2+8*x+4"], "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": 4, "g": 2, "galois_groups": ["4T2"], "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": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.59.1"], "geometric_splitting_field": "2.0.59.1", "geometric_splitting_polynomials": [[15, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 9, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 9, "label": "2.17.ad_ai", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.31329.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 3], [1, 7, 2, 6]], "poly": [1, -3, -8, -51, 289], "poly_str": "1 -3 -8 -51 289 ", "primitive_models": [], "principal_polarization_count": 9, "q": 17, "real_poly": [1, -3, -42], "simple_distinct": ["2.17.ad_ai"], "simple_factors": ["2.17.ad_aiA"], "simple_multiplicities": [1], "singular_primes": ["2,-F+1"], "size": 15, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.31329.1", "splitting_polynomials": [[225, -15, -14, -1, 1]], "twist_count": 6, "twists": [["2.17.d_ai", "2.289.az_my", 2], ["2.17.g_br", "2.4913.ajs_bmao", 3], ["2.17.ag_br", "2.24137569.arxk_hdteqo", 6], ["2.17.a_z", "2.24137569.arxk_hdteqo", 6], ["2.17.d_ai", "2.24137569.arxk_hdteqo", 6], ["2.17.a_az", "2.582622237229761.bzcglg_jfskodqbhjy", 12]], "weak_equivalence_count": 4, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 6, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 64, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F+1"]}