# Stored data for abelian variety isogeny class 2.11.af_p, downloaded from the LMFDB on 25 April 2026.
{"abvar_count": 77, "abvar_counts": [77, 15169, 1688687, 211592381, 26082870352, 3144076824889, 379745616403307, 45954823512723125, 5560361340404247377, 672754868614566056704], "abvar_counts_str": "77 15169 1688687 211592381 26082870352 3144076824889 379745616403307 45954823512723125 5560361340404247377 672754868614566056704 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.123520620106028, 0.554980822635543], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 7, "curve_counts": [7, 127, 1267, 14451, 161952, 1774747, 19486957, 214382643, 2358135997, 25937612502], "curve_counts_str": "7 127 1267 14451 161952 1774747 19486957 214382643 2358135997 25937612502 ", "curves": ["y^2=5*x^6+6*x^5+8*x^4+2*x^3+9*x^2+8*x+6", "y^2=6*x^6+8*x^4+9*x^3+5*x^2+8*x+9", "y^2=9*x^6+8*x^5+7*x^4+3*x^3+5*x^2+8", "y^2=6*x^6+x^5+4*x^4+5*x^3+6*x^2+2*x+9", "y^2=6*x^6+7*x^5+3*x^4+6*x^3+x^2+7", "y^2=6*x^6+4*x^5+3*x^3+2*x^2+10*x+4", "y^2=6*x^6+5*x^5+5*x^4+9*x^3+8*x^2+2*x"], "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": ["4.0.755621.1"], "geometric_splitting_field": "4.0.755621.1", "geometric_splitting_polynomials": [[77, -36, 6, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 7, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 7, "label": "2.11.af_p", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.755621.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 7]], "poly": [1, -5, 15, -55, 121], "poly_str": "1 -5 15 -55 121 ", "primitive_models": [], "principal_polarization_count": 7, "q": 11, "real_poly": [1, -5, -7], "simple_distinct": ["2.11.af_p"], "simple_factors": ["2.11.af_pA"], "simple_multiplicities": [1], "singular_primes": [], "size": 7, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.755621.1", "splitting_polynomials": [[77, -36, 6, -1, 1]], "twist_count": 2, "twists": [["2.11.f_p", "2.121.f_adf", 2]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 7, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 269, "zfv_singular_count": 0, "zfv_singular_primes": []}