# Stored data for abelian variety isogeny class 2.11.a_l, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 133, "abvar_counts": [133, 17689, 1768900, 217946169, 25937585653, 3129007210000, 379749853070413, 45956007363431529, 5559917308776336100, 672758349506711436409], "abvar_counts_str": "133 17689 1768900 217946169 25937585653 3129007210000 379749853070413 45956007363431529 5559917308776336100 672758349506711436409 ", "angle_corank": 2, "angle_rank": 0, "angles": [0.333333333333333, 0.666666666666667], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 12, "curve_counts": [12, 144, 1332, 14884, 161052, 1766238, 19487172, 214388164, 2357947692, 25937746704], "curve_counts_str": "12 144 1332 14884 161052 1766238 19487172 214388164 2357947692 25937746704 ", "curves": ["y^2=10*x^6+2*x^5+x^4+3*x^3+8*x^2+6", "y^2=9*x^6+4*x^5+2*x^4+6*x^3+5*x^2+1", "y^2=4*x^6+4*x^5+4*x^4+7*x^3+3*x^2+4*x+10", "y^2=8*x^6+8*x^5+8*x^4+3*x^3+6*x^2+8*x+9", "y^2=8*x^6+2*x^5+7*x^4+2*x^2+7*x+10", "y^2=5*x^6+4*x^5+3*x^4+4*x^2+3*x+9", "y^2=3*x^6+4*x^5+2*x^4+7*x^2+7", "y^2=6*x^6+8*x^5+4*x^4+3*x^2+3", "y^2=x^6+2*x^5+x^4+3*x^3+7*x^2+5*x+9"], "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": 1, "geometric_extension_degree": 6, "geometric_galois_groups": ["1T1"], "geometric_number_fields": ["1.1.1.1"], "geometric_splitting_field": "1.1.1.1", "geometric_splitting_polynomials": [[0, 1]], "group_structure_count": 1, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 9, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": true, "jacobian_count": 9, "label": "2.11.a_l", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 24, "newton_coelevation": 0, "newton_elevation": 2, "noncyclic_primes": [], "number_fields": ["4.0.17424.3"], "p": 11, "p_rank": 0, "p_rank_deficit": 2, "poly": [1, 0, 11, 0, 121], "poly_str": "1 0 11 0 121 ", "primitive_models": [], "q": 11, "real_poly": [1, 0, -11], "simple_distinct": ["2.11.a_l"], "simple_factors": ["2.11.a_lA"], "simple_multiplicities": [1], "singular_primes": ["11,30*F+44,47*F+23*V"], "slopes": ["1/2A", "1/2B", "1/2C", "1/2D"], "splitting_field": "4.0.17424.3", "splitting_polynomials": [[121, 0, 11, 0, 1]], "twist_count": 5, "twists": [["2.11.a_aw", "2.1331.a_adyk", 3], ["2.11.a_al", "2.14641.ji_cmzj", 4], ["2.11.a_aw", "2.1771561.ahwu_xgtxu", 6], ["2.11.a_w", "2.3138428376721.apnepw_dmemzgzeeg", 12], ["2.11.a_a", "2.9849732675807611094711841.aciczznicue_cadfcntlgsmsrcgvcig", 24]], "weak_equivalence_count": 2, "zfv_index": 11, "zfv_index_factorization": [[11, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 1089, "zfv_singular_count": 3, "zfv_singular_primes": ["11,30*F+44,47*F+23*V"]}