# Stored data for abelian variety isogeny class 2.17.a_ax, downloaded from the LMFDB on 13 January 2026.
{"abvar_count": 267, "abvar_counts": [267, 71289, 24145344, 6984112041, 2015995440507, 582997636878336, 168377825834645883, 48663488908087058889, 14063084451974610887616, 4064237616145012976417049], "abvar_counts_str": "267 71289 24145344 6984112041 2015995440507 582997636878336 168377825834645883 48663488908087058889 14063084451974610887616 4064237616145012976417049 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.13175429387974, 0.86824570612026], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 18, "curve_counts": [18, 244, 4914, 83620, 1419858, 24153118, 410338674, 6976086724, 118587876498, 2015996980564], "curve_counts_str": "18 244 4914 83620 1419858 24153118 410338674 6976086724 118587876498 2015996980564 ", "curves": ["y^2=7*x^6+7*x^5+16*x^4+13*x^3+3*x^2+7*x+11", "y^2=4*x^6+4*x^5+14*x^4+5*x^3+9*x^2+4*x+16", "y^2=14*x^6+4*x^5+4*x^4+x^3+8*x^2+6*x+5", "y^2=11*x^6+14*x^5+9*x^4+8*x^3+8*x^2+9*x+11", "y^2=11*x^6+3*x^5+15*x^4+7*x^2+13*x+1", "y^2=16*x^6+9*x^5+11*x^4+4*x^2+5*x+3"], "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": 2, "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": ["2.0.627.1"], "geometric_splitting_field": "2.0.627.1", "geometric_splitting_polynomials": [[157, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 6, "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": 6, "label": "2.17.a_ax", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.393129.2"], "p": 17, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -23, 0, 289], "poly_str": "1 0 -23 0 289 ", "primitive_models": [], "q": 17, "real_poly": [1, 0, -57], "simple_distinct": ["2.17.a_ax"], "simple_factors": ["2.17.a_axA"], "simple_multiplicities": [1], "singular_primes": ["2,9*F^2-V-2"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.393129.2", "splitting_polynomials": [[289, 0, -23, 0, 1]], "twist_count": 2, "twists": [["2.17.a_x", "2.83521.du_jqrb", 4]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 121, "zfv_singular_count": 2, "zfv_singular_primes": ["2,9*F^2-V-2"]}