# Stored data for abelian variety isogeny class 2.7.ae_s, downloaded from the LMFDB on 18 December 2025.
{"abvar_count": 36, "abvar_counts": [36, 3600, 142884, 5760000, 274432356, 13731152400, 679467192804, 33288284160000, 1628762191021476, 79778171970090000], "abvar_counts_str": "36 3600 142884 5760000 274432356 13731152400 679467192804 33288284160000 1628762191021476 79778171970090000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.376624142785575, 0.376624142785575], "center_dim": 2, "curve_count": 4, "curve_counts": [4, 70, 412, 2398, 16324, 116710, 825052, 5774398, 40362244, 282425350], "curve_counts_str": "4 70 412 2398 16324 116710 825052 5774398 40362244 282425350 ", "curves": ["y^2=5*x^6+4*x^5+5*x^4+2*x^3+5*x^2+4*x+5", "y^2=x^6+4*x^3+1", "y^2=5*x^6+4*x^4+4*x^2+5"], "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": ["2.0.24.1"], "geometric_splitting_field": "2.0.24.1", "geometric_splitting_polynomials": [[6, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "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": 3, "label": "2.7.ae_s", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 3], "number_fields": ["2.0.24.1"], "p": 7, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 18, -28, 49], "poly_str": "1 -4 18 -28 49 ", "primitive_models": [], "q": 7, "real_poly": [1, -4, 4], "simple_distinct": ["1.7.ac"], "simple_factors": ["1.7.acA", "1.7.acB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.24.1", "splitting_polynomials": [[6, 0, 1]], "twist_count": 6, "twists": [["2.7.a_k", "2.49.u_hq", 2], ["2.7.e_s", "2.49.u_hq", 2], ["2.7.c_ad", "2.343.cq_csw", 3], ["2.7.a_ak", "2.2401.ae_hcw", 4], ["2.7.ac_ad", "2.117649.abke_zywc", 6]]}