# Stored data for abelian variety isogeny class 2.11.b_ak, downloaded from the LMFDB on 27 July 2026.
{"abvar_count": 124, "abvar_counts": [124, 12400, 1860496, 217297600, 26026306804, 3144238240000, 379599841633444, 45951941724998400, 5559469279446003856, 672749515038672310000], "abvar_counts_str": "124 12400 1860496 217297600 26026306804 3144238240000 379599841633444 45951941724998400 5559469279446003856 672749515038672310000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.214837341118777, 0.881504007785444], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 101, 1396, 14841, 161603, 1774838, 19479473, 214369201, 2357757676, 25937406101], "curve_counts_str": "13 101 1396 14841 161603 1774838 19479473 214369201 2357757676 25937406101 ", "curves": ["y^2=2*x^6+4*x^5+10*x^4+5*x^3+5*x+5", "y^2=9*x^6+9*x^5+10*x^4+6*x^3+2*x^2+5*x+10", "y^2=3*x^6+8*x^5+4*x^4+6*x^3+2*x^2+5*x+5"], "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": 4, "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": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.43.1"], "geometric_splitting_field": "2.0.43.1", "geometric_splitting_polynomials": [[11, -1, 1]], "group_structure_count": 2, "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": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 3, "label": "2.11.b_ak", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.16641.1"], "p": 11, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 1, -10, 11, 121], "poly_str": "1 1 -10 11 121 ", "primitive_models": [], "q": 11, "real_poly": [1, 1, -32], "simple_distinct": ["2.11.b_ak"], "simple_factors": ["2.11.b_akA"], "simple_multiplicities": [1], "singular_primes": ["2,F-2*V+1", "5,6*F^2-V+3"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.16641.1", "splitting_polynomials": [[121, -11, -10, -1, 1]], "twist_count": 6, "twists": [["2.11.ab_ak", "2.121.av_mi", 2], ["2.11.ac_x", "2.1331.cm_flu", 3], ["2.11.a_v", "2.1771561.ewa_nqghy", 6], ["2.11.c_x", "2.1771561.ewa_nqghy", 6], ["2.11.a_av", "2.3138428376721.dtwpw_bhpppszueg", 12]], "weak_equivalence_count": 4, "zfv_index": 10, "zfv_index_factorization": [[2, 1], [5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 100, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F-2*V+1", "5,6*F^2-V+3"]}