# Stored data for abelian variety isogeny class 2.8.ad_d, downloaded from the LMFDB on 18 October 2025.
{"abvar_count": 41, "abvar_counts": [41, 3895, 227468, 16690075, 1082548871, 68545207120, 4400686542797, 281704048420275, 18014949256511252, 1152968918632045975], "abvar_counts_str": "41 3895 227468 16690075 1082548871 68545207120 4400686542797 281704048420275 18014949256511252 1152968918632045975 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.0953165727453302, 0.639785697984045], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 6, "curve_counts": [6, 62, 441, 4074, 33036, 261479, 2098410, 16790866, 134221833, 1073785982], "curve_counts_str": "6 62 441 4074 33036 261479 2098410 16790866 134221833 1073785982 ", "curves": ["y^2+(x^3+(a+1)*x+a+1)*y=x^5+x^4+a^2*x^3+x+a", "y^2+(x^3+(a^2+a+1)*x+a^2+a+1)*y=x^5+x^4+a*x^3+x+a^2+a", "y^2+(x^3+(a^2+1)*x+a^2+1)*y=x^5+x^4+(a^2+a)*x^3+x+a^2"], "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": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.271633.1"], "geometric_splitting_field": "4.0.271633.1", "geometric_splitting_polynomials": [[41, 23, 0, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 3, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 3, "label": "2.8.ad_d", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.271633.1"], "p": 2, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -3, 3, -24, 64], "poly_str": "1 -3 3 -24 64 ", "primitive_models": [], "q": 8, "real_poly": [1, -3, -13], "simple_distinct": ["2.8.ad_d"], "simple_factors": ["2.8.ad_dA"], "simple_multiplicities": [1], "singular_primes": [], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.271633.1", "splitting_polynomials": [[41, 23, 0, -1, 1]], "twist_count": 2, "twists": [["2.8.d_d", "2.64.ad_ah", 2]], "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": 73, "zfv_singular_count": 0, "zfv_singular_primes": []}