# Stored data for abelian variety isogeny class 2.17.a_ae, downloaded from the LMFDB on 09 October 2026.
{"abvar_count": 286, "abvar_counts": [286, 81796, 24140974, 7070119056, 2015992321486, 582786625668676, 168377827162473214, 48659115898442649600, 14063084451860675019646, 4064225040290511577248196], "abvar_counts_str": "286 81796 24140974 7070119056 2015992321486 582786625668676 168377827162473214 48659115898442649600 14063084451860675019646 4064225040290511577248196 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.231232424915034, 0.768767575084966], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 18, "curve_counts": [18, 282, 4914, 84646, 1419858, 24144378, 410338674, 6975459838, 118587876498, 2015990742522], "curve_counts_str": "18 282 4914 84646 1419858 24144378 410338674 6975459838 118587876498 2015990742522 ", "curves": ["y^2=11*x^6+14*x^5+x^4+16*x^3+15*x^2+16*x+13", "y^2=16*x^6+8*x^5+3*x^4+14*x^3+11*x^2+14*x+5", "y^2=3*x^6+15*x^5+10*x^4+6*x^3+15*x^2+7*x+9", "y^2=9*x^6+11*x^5+13*x^4+x^3+11*x^2+4*x+10", "y^2=14*x^6+13*x^5+6*x^4+13*x^3+8*x+6", "y^2=8*x^6+5*x^5+x^4+5*x^3+7*x+1", "y^2=12*x^6+15*x^5+16*x^4+16*x^3+16*x^2+14*x", "y^2=2*x^6+11*x^5+14*x^4+14*x^3+14*x^2+8*x", "y^2=15*x^6+7*x^5+8*x^4+8*x^3+10", "y^2=11*x^6+4*x^5+7*x^4+7*x^3+13", "y^2=14*x^6+10*x^4+10*x^3+14*x^2+9*x+5", "y^2=8*x^6+13*x^4+13*x^3+8*x^2+10*x+15", "y^2=13*x^6+13*x^5+11*x^4+12*x^3+10*x^2+13*x+16", "y^2=5*x^6+5*x^5+16*x^4+2*x^3+13*x^2+5*x+14", "y^2=16*x^6+9*x^4+16*x^3+9*x^2+3*x+6", "y^2=14*x^6+10*x^4+14*x^3+10*x^2+9*x+1", "y^2=2*x^6+12*x^5+13*x^4+16*x^3+14*x^2+2*x+7", "y^2=6*x^6+2*x^5+5*x^4+14*x^3+8*x^2+6*x+4", "y^2=13*x^6+9*x^5+7*x^4+14*x^3+15*x^2+11*x+8", "y^2=5*x^6+10*x^5+4*x^4+8*x^3+11*x^2+16*x+7", "y^2=16*x^6+9*x^5+6*x^4+14*x^3+2*x^2+x+14", "y^2=14*x^6+10*x^5+x^4+8*x^3+6*x^2+3*x+8", "y^2=x^6+7*x^5+3*x^4+15*x^3+3*x^2+8*x+13", "y^2=3*x^6+4*x^5+9*x^4+11*x^3+9*x^2+7*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": 1, "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": ["2.0.1140.1"], "geometric_splitting_field": "2.0.1140.1", "geometric_splitting_polynomials": [[285, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 24, "label": "2.17.a_ae", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.20793600.1"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -4, 0, 289], "poly_str": "1 0 -4 0 289 ", "primitive_models": [], "q": 17, "real_poly": [1, 0, -38], "simple_distinct": ["2.17.a_ae"], "simple_factors": ["2.17.a_aeA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.20793600.1", "splitting_polynomials": [[289, 0, -4, 0, 1]], "twist_count": 2, "twists": [["2.17.a_e", "2.83521.brg_bbmio", 4]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 900, "zfv_singular_count": 0, "zfv_singular_primes": []}