# Stored data for abelian variety isogeny class 2.17.ae_bm, downloaded from the LMFDB on 11 July 2026.
{"abvar_count": 256, "abvar_counts": [256, 102400, 25080064, 6922240000, 2009635123456, 582670078873600, 168410733225197824, 48662075833712640000, 14062952848056620851456, 4064222589303864424960000], "abvar_counts_str": "256 102400 25080064 6922240000 2009635123456 582670078873600 168410733225197824 48662075833712640000 14062952848056620851456 4064222589303864424960000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.422020869622631, 0.422020869622631], "center_dim": 2, "curve_count": 14, "curve_counts": [14, 350, 5102, 82878, 1415374, 24139550, 410418862, 6975884158, 118586766734, 2015989526750], "curve_counts_str": "14 350 5102 82878 1415374 24139550 410418862 6975884158 118586766734 2015989526750 ", "curves": ["y^2=10*x^6+8*x^4+8*x^2+10", "y^2=11*x^6+12*x^5+14*x^4+16*x^3+14*x^2+12*x+11", "y^2=5*x^6+16*x^4+16*x^2+5", "y^2=8*x^6+10*x^5+2*x^4+15*x^3+2*x^2+10*x+8", "y^2=3*x^6+4*x^5+4*x^4+12*x^3+16*x^2+13*x+5", "y^2=12*x^6+16*x^4+16*x^2+12", "y^2=6*x^5+10*x^4+16*x^3+10*x^2+6*x", "y^2=13*x^6+5*x^5+6*x^4+2*x^3+2*x^2+3*x+1", "y^2=5*x^6+14*x^5+9*x^4+x^3+9*x^2+14*x+5", "y^2=7*x^6+6*x^5+3*x^4+12*x^3+3*x^2+6*x+7"], "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": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 10, "label": "2.17.ae_bm", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.4.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 38, -68, 289], "poly_str": "1 -4 38 -68 289 ", "primitive_models": [], "q": 17, "real_poly": [1, -4, 4], "simple_distinct": ["1.17.ac"], "simple_factors": ["1.17.acA", "1.17.acB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 16, "twists": [["2.17.a_be", "2.289.ci_cew", 2], ["2.17.e_bm", "2.289.ci_cew", 2], ["2.17.c_an", "2.4913.hg_bbpu", 3], ["2.17.aq_du", "2.83521.ayu_pkmo", 4], ["2.17.ak_by", "2.83521.ayu_pkmo", 4], ["2.17.ag_s", "2.83521.ayu_pkmo", 4], ["2.17.a_abe", "2.83521.ayu_pkmo", 4], ["2.17.g_s", "2.83521.ayu_pkmo", 4], ["2.17.k_by", "2.83521.ayu_pkmo", 4], ["2.17.q_du", "2.83521.ayu_pkmo", 4], ["2.17.ac_an", "2.24137569.cye_edukug", 6], ["2.17.a_aq", "2.6975757441.hfls_cgecleuw", 8], ["2.17.a_q", "2.6975757441.hfls_cgecleuw", 8], ["2.17.ai_bv", "2.582622237229761.hyzudw_ycphxevazog", 12], ["2.17.i_bv", "2.582622237229761.hyzudw_ycphxevazog", 12]]}