# Stored data for abelian variety isogeny class 2.17.a_be, downloaded from the LMFDB on 22 September 2025.
{"abvar_count": 320, "abvar_counts": [320, 102400, 24138560, 6922240000, 2015991713600, 582670078873600, 168377825772549440, 48662075833712640000, 14063084451997006710080, 4064222589303864424960000], "abvar_counts_str": "320 102400 24138560 6922240000 2015991713600 582670078873600 168377825772549440 48662075833712640000 14063084451997006710080 4064222589303864424960000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.422020869622631, 0.577979130377369], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 18, "curve_counts": [18, 350, 4914, 82878, 1419858, 24139550, 410338674, 6975884158, 118587876498, 2015989526750], "curve_counts_str": "18 350 4914 82878 1419858 24139550 410338674 6975884158 118587876498 2015989526750 ", "curves": ["y^2=9*x^6+8*x^4+7*x^2+5", "y^2=10*x^6+10*x^4+13*x^2+15", "y^2=15*x^6+x^5+11*x^4+10*x^3+11*x^2+x+15", "y^2=11*x^6+3*x^5+16*x^4+13*x^3+16*x^2+3*x+11", "y^2=13*x^6+16*x^4+14*x^2+11", "y^2=6*x^6+2*x^4+6*x^2+9", "y^2=9*x^6+14*x^4+3*x^3+11*x^2+4*x+13", "y^2=10*x^6+8*x^4+9*x^3+16*x^2+12*x+5", "y^2=6*x^6+15*x^5+7*x^4+14*x^3+x^2+16*x+9", "y^2=x^6+11*x^5+4*x^4+8*x^3+3*x^2+14*x+10", "y^2=6*x^6+11*x^5+4*x^3+11*x+6", "y^2=x^6+16*x^5+12*x^3+16*x+1", "y^2=9*x^6+10*x^5+16*x^4+15*x^3+5*x^2+8*x+9", "y^2=10*x^6+13*x^5+14*x^4+11*x^3+15*x^2+7*x+10", "y^2=5*x^6+6*x^5+12*x^4+16*x^3+16*x^2+4*x+12", "y^2=10*x^5+2*x^4+10*x^3+x^2+6*x+5", "y^2=13*x^5+6*x^4+13*x^3+3*x^2+x+15", "y^2=x^6+6*x^5+8*x^4+x^3+15*x^2+3*x+4", "y^2=4*x^6+11*x^5+11*x^4+14*x^3+11*x^2+11*x+4", "y^2=12*x^6+16*x^5+16*x^4+8*x^3+16*x^2+16*x+12", "y^2=12*x^6+14*x^4+8*x^2+1", "y^2=7*x^6+4*x^4+12*x^2+2", "y^2=7*x^6+4*x^5+9*x^4+9*x^2+11*x", "y^2=4*x^6+12*x^5+10*x^4+10*x^2+16*x", "y^2=15*x^6+6*x^5+12*x^4+8*x^3+16*x^2+5*x+14", "y^2=11*x^6+x^5+2*x^4+7*x^3+14*x^2+15*x+8", "y^2=2*x^6+3*x^5+14*x^4+12*x^3+7*x^2+5*x+13", "y^2=6*x^6+9*x^5+8*x^4+2*x^3+4*x^2+15*x+5", "y^2=5*x^5+16*x^4+16*x^3+15*x^2+3*x", "y^2=15*x^5+14*x^4+14*x^3+11*x^2+9*x", "y^2=15*x^6+12*x^5+16*x^4+3*x^3+4*x^2+5*x+9", "y^2=11*x^6+2*x^5+14*x^4+9*x^3+12*x^2+15*x+10"], "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": 31, "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": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 0, 1]], "group_structure_count": 9, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 32, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 32, "label": "2.17.a_be", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.4.1", "2.0.4.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 30, 0, 289], "poly_str": "1 0 30 0 289 ", "primitive_models": [], "q": 17, "real_poly": [1, 0, -4], "simple_distinct": ["1.17.ac", "1.17.c"], "simple_factors": ["1.17.acA", "1.17.cA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F-11"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.4.1", "splitting_polynomials": [[1, 0, 1]], "twist_count": 16, "twists": [["2.17.ae_bm", "2.289.ci_cew", 2], ["2.17.e_bm", "2.289.ci_cew", 2], ["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.c_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]], "weak_equivalence_count": 56, "zfv_index": 256, "zfv_index_factorization": [[2, 8]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4096, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F-11"]}