# Stored data for abelian variety isogeny class 2.17.a_c, downloaded from the LMFDB on 17 July 2026.
{"abvar_count": 292, "abvar_counts": [292, 85264, 24135844, 7072137216, 2015994724132, 582538965592336, 168377826230764708, 48658925715634520064, 14063084452187567438116, 4064234727728058783153424], "abvar_counts_str": "292 85264 24135844 7072137216 2015994724132 582538965592336 168377826230764708 48658925715634520064 14063084452187567438116 4064234727728058783153424 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.259367463009539, 0.740632536990461], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 18, "curve_counts": [18, 294, 4914, 84670, 1419858, 24134118, 410338674, 6975432574, 118587876498, 2015995547814], "curve_counts_str": "18 294 4914 84670 1419858 24134118 410338674 6975432574 118587876498 2015995547814 ", "curves": ["y^2=7*x^6+7*x^5+4*x^4+9*x^3+6*x^2+15*x+11", "y^2=13*x^6+7*x^5+9*x^4+8*x^3+13*x^2+16*x", "y^2=5*x^6+4*x^5+10*x^4+7*x^3+5*x^2+14*x", "y^2=6*x^6+12*x^5+5*x^4+4*x^3+5*x^2+15*x+16", "y^2=x^6+2*x^5+15*x^4+12*x^3+15*x^2+11*x+14", "y^2=14*x^6+9*x^5+7*x^4+16*x^3+4*x^2+13*x+4", "y^2=14*x^6+11*x^5+15*x^4+13*x^3+12*x^2+5*x+2", "y^2=10*x^6+8*x^5+x^4+8*x^3+12*x^2+13*x+8", "y^2=10*x^6+x^5+9*x^4+6*x^3+13*x^2+9*x+12", "y^2=x^5+8*x", "y^2=16*x^6+12*x^5+x^4+4*x^3+5*x^2+15*x", "y^2=14*x^6+2*x^5+3*x^4+13*x^3+2*x^2+9*x", "y^2=8*x^6+6*x^5+9*x^4+5*x^3+6*x^2+10*x", "y^2=5*x^6+9*x^5+x^4+13*x^3+11*x^2+x+8", "y^2=14*x^6+4*x^5+9*x^4+10*x^3+x^2+9*x+3", "y^2=8*x^6+12*x^5+10*x^4+13*x^3+3*x^2+10*x+9", "y^2=16*x^6+12*x^5+5*x^4+15*x^2+11*x+7", "y^2=4*x^6+5*x^5+15*x^4+13*x^3+11*x^2+11*x+6", "y^2=2*x^6+5*x^5+13*x^4+9*x^3+8*x^2+2", "y^2=6*x^6+15*x^5+5*x^4+10*x^3+7*x^2+6", "y^2=11*x^6+8*x^5+15*x^4+11*x^3+14*x^2+x+1", "y^2=10*x^6+11*x^5+8*x^4+9*x^2+6*x+7", "y^2=11*x^6+2*x^5+8*x^4+13*x^3+8*x^2+6*x+7", "y^2=16*x^6+6*x^5+7*x^4+5*x^3+7*x^2+x+4", "y^2=4*x^6+7*x^5+11*x^4+3*x^3+13*x^2+8*x+2", "y^2=12*x^6+4*x^5+16*x^4+9*x^3+5*x^2+7*x+6", "y^2=6*x^6+3*x^5+6*x^4+15*x^3+7*x+6", "y^2=x^6+9*x^5+x^4+11*x^3+4*x+1", "y^2=7*x^6+x^5+16*x^4+11*x^3+8*x^2+7*x+5", "y^2=4*x^6+3*x^5+14*x^4+16*x^3+7*x^2+4*x+15", "y^2=10*x^6+x^5+x^4+2*x^2+13*x+12", "y^2=11*x^6+13*x^5+2*x^4+14*x^3+10*x^2+2*x+15", "y^2=10*x^6+13*x^5+2*x^4+5*x^3+6*x^2+15*x+15", "y^2=2*x^6+9*x^5+6*x^4+3*x^3+16*x^2+4*x+1", "y^2=6*x^6+10*x^5+x^4+9*x^3+14*x^2+12*x+3", "y^2=14*x^6+x^5+12*x^4+7*x^3+x^2+13", "y^2=8*x^6+3*x^5+2*x^4+4*x^3+3*x^2+5", "y^2=14*x^6+2*x^5+10*x^4+14*x^3+2*x^2+4*x+13", "y^2=8*x^6+6*x^5+13*x^4+8*x^3+6*x^2+12*x+5", "y^2=2*x^6+13*x^5+14*x^4+3*x^3+13*x^2+13*x+16", "y^2=6*x^6+5*x^5+8*x^4+9*x^3+5*x^2+5*x+14", "y^2=8*x^6+2*x^5+9*x^4+x^3+10*x^2+11*x+11", "y^2=7*x^6+6*x^5+10*x^4+3*x^3+13*x^2+16*x+16", "y^2=10*x^6+9*x^5+16*x^4+4*x^3+x^2+13*x+3", "y^2=2*x^6+15*x^5+4*x^4+8*x^3+11*x^2+11", "y^2=6*x^6+11*x^5+12*x^4+7*x^3+16*x^2+16", "y^2=3*x^6+8*x^5+11*x^4+2*x^2+16*x+15", "y^2=10*x^6+13*x^5+10*x^4+x^3+x^2+6", "y^2=13*x^6+5*x^5+13*x^4+3*x^3+3*x^2+1", "y^2=4*x^6+3*x^5+x^4+3*x^3+x^2+14*x+14", "y^2=16*x^6+16*x^5+12*x^4+x^3+13*x^2+16*x+13", "y^2=14*x^6+14*x^5+2*x^4+3*x^3+5*x^2+14*x+5"], "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": 12, "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 52, "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": 52, "label": "2.17.a_c", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.256.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 2, 0, 289], "poly_str": "1 0 2 0 289 ", "primitive_models": [], "q": 17, "real_poly": [1, 0, -32], "simple_distinct": ["2.17.a_c"], "simple_factors": ["2.17.a_cA"], "simple_multiplicities": [1], "singular_primes": ["2,-5*F^2-V", "3,F+38*V-9"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.256.1", "splitting_polynomials": [[1, 0, 0, 0, 1]], "twist_count": 8, "twists": [["2.17.am_cs", "2.83521.bse_bcgmw", 4], ["2.17.a_ac", "2.83521.bse_bcgmw", 4], ["2.17.m_cs", "2.83521.bse_bcgmw", 4], ["2.17.ai_bg", "2.6975757441.asmoy_faoxxvhu", 8], ["2.17.i_bg", "2.6975757441.asmoy_faoxxvhu", 8], ["2.17.ag_t", "2.582622237229761.hqgiam_wumzpotyfxm", 12], ["2.17.g_t", "2.582622237229761.hqgiam_wumzpotyfxm", 12]], "weak_equivalence_count": 12, "zfv_index": 288, "zfv_index_factorization": [[2, 5], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 1296, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-5*F^2-V", "3,F+38*V-9"]}