# Stored data for abelian variety isogeny class 2.17.a_s, downloaded from the LMFDB on 16 August 2026.
{"abvar_count": 308, "abvar_counts": [308, 94864, 24127796, 7018418176, 2015994879668, 582150539817616, 168377827127013812, 48662622293144961024, 14063084451841766052404, 4064235354847593799790224], "abvar_counts_str": "308 94864 24127796 7018418176 2015994879668 582150539817616 168377827127013812 48662622293144961024 14063084451841766052404 4064235354847593799790224 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.338793663196658, 0.661206336803342], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 18, "curve_counts": [18, 326, 4914, 84030, 1419858, 24118022, 410338674, 6975962494, 118587876498, 2015995858886], "curve_counts_str": "18 326 4914 84030 1419858 24118022 410338674 6975962494 118587876498 2015995858886 ", "curves": ["y^2=14*x^6+3*x^5+6*x^4+11*x^3+6*x^2+5*x+11", "y^2=8*x^6+9*x^5+x^4+16*x^3+x^2+15*x+16", "y^2=6*x^6+3*x^5+9*x^4+13*x^3+6*x^2+7*x+15", "y^2=13*x^6+15*x^5+16*x^4+12*x^3+4*x^2+14*x+6", "y^2=5*x^6+11*x^5+14*x^4+2*x^3+12*x^2+8*x+1", "y^2=8*x^6+8*x^4+6*x^3+14*x^2+11", "y^2=8*x^6+x^5+8*x^4+12*x^3+7*x^2+5*x+10", "y^2=11*x^6+16*x^5+3*x^4+x^3+7*x^2+4*x+5", "y^2=16*x^6+14*x^5+9*x^4+3*x^3+4*x^2+12*x+15", "y^2=6*x^6+6*x^5+6*x^4+3*x^3+4*x^2+3*x+8", "y^2=x^6+x^5+x^4+9*x^3+12*x^2+9*x+7", "y^2=4*x^6+3*x^5+16*x^4+3*x^3+2*x^2+13*x+9", "y^2=5*x^6+5*x^5+13*x^4+6*x^3+10*x^2+13*x+16", "y^2=15*x^6+15*x^5+5*x^4+x^3+13*x^2+5*x+14", "y^2=4*x^6+15*x^4+11*x^2+6", "y^2=15*x^6+3*x^4+9*x^2+14", "y^2=14*x^6+3*x^5+2*x^4+7*x^3+14*x^2+11*x+8", "y^2=5*x^6+10*x^5+16*x^4+4*x^3+14*x^2+5*x+16", "y^2=6*x^6+9*x^5+6*x^4+16*x^3+9*x^2+16*x+16", "y^2=14*x^6+11*x^5+10*x^4+2*x^3+15*x^2+10*x+1", "y^2=13*x^6+15*x^5+6*x^4+16*x^3+8*x^2+4*x+5", "y^2=7*x^6+9*x^5+16*x^4+3*x^3+16*x^2+9*x+7", "y^2=4*x^6+10*x^5+14*x^4+9*x^3+14*x^2+10*x+4", "y^2=9*x^6+4*x^5+9*x^4+4*x^3+14*x^2+14"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 7, "g": 2, "galois_groups": ["2T1", "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.52.1"], "geometric_splitting_field": "2.0.52.1", "geometric_splitting_polynomials": [[13, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 24, "label": "2.17.a_s", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.52.1", "2.0.52.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 8], [2, 7, 1, 8], [1, 3, 1, 2], [1, 11, 1, 8]], "poly": [1, 0, 18, 0, 289], "poly_str": "1 0 18 0 289 ", "primitive_models": [], "principal_polarization_count": 36, "q": 17, "real_poly": [1, 0, -16], "simple_distinct": ["1.17.ae", "1.17.e"], "simple_factors": ["1.17.aeA", "1.17.eA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-F+9"], "size": 136, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.52.1", "splitting_polynomials": [[13, 0, 1]], "twist_count": 6, "twists": [["2.17.ai_by", "2.289.bk_bis", 2], ["2.17.i_by", "2.289.bk_bis", 2], ["2.17.a_as", "2.83521.to_neoc", 4], ["2.17.ae_ab", "2.24137569.abcxw_mcrzcg", 6], ["2.17.e_ab", "2.24137569.abcxw_mcrzcg", 6]], "weak_equivalence_count": 7, "zfv_index": 64, "zfv_index_factorization": [[2, 6]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 64, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2704, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F+9"]}