# Stored data for abelian variety isogeny class 2.13.ab_u, downloaded from the LMFDB on 12 October 2025.
{"abvar_count": 176, "abvar_counts": [176, 35904, 4868864, 813010176, 137924466416, 23277766127616, 3936596326998896, 665490458429051904, 112458102440893104896, 19004825067531932380224], "abvar_counts_str": "176 35904 4868864 813010176 137924466416 23277766127616 3936596326998896 665490458429051904 112458102440893104896 19004825067531932380224 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.363422825076303, 0.589456187511033], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 13, "curve_counts": [13, 209, 2218, 28465, 371473, 4822598, 62736085, 815821249, 10604753554, 137857485689], "curve_counts_str": "13 209 2218 28465 371473 4822598 62736085 815821249 10604753554 137857485689 ", "curves": ["y^2=5*x^6+3*x^5+11*x^3+12*x+2", "y^2=x^5+10*x^4+4*x^3+12*x^2+11*x+1", "y^2=6*x^6+x^5+x^3+4*x^2+3*x+3", "y^2=4*x^6+9*x^5+8*x^4+12*x^3+12*x^2+9*x+2", "y^2=7*x^6+6*x^5+2*x^4+8*x^3+12*x^2+x+3", "y^2=5*x^6+3*x^5+5*x^4+10*x^3+5*x^2+7*x+6", "y^2=x^6+7*x^5+3*x^4+12*x^3+11*x^2+12*x+7", "y^2=2*x^6+3*x^5+9*x^4+12*x^3+10*x^2+3*x+6", "y^2=7*x^6+5*x^5+9*x^4+11*x^3+8*x+12", "y^2=12*x^6+4*x^5+11*x^4+11*x^3+8*x+7"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 6, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.43.1", "2.0.3.1"], "geometric_splitting_field": "4.0.16641.1", "geometric_splitting_polynomials": [[121, -11, -10, -1, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 10, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 10, "label": "2.13.ab_u", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.43.1", "2.0.3.1"], "p": 13, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -1, 20, -13, 169], "poly_str": "1 -1 20 -13 169 ", "primitive_models": [], "q": 13, "real_poly": [1, -1, -6], "simple_distinct": ["1.13.ad", "1.13.c"], "simple_factors": ["1.13.adA", "1.13.cA"], "simple_multiplicities": [1, 1], "singular_primes": ["5,42*F+2*V-1", "2,F+9"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.16641.1", "splitting_polynomials": [[121, -11, -10, -1, 1]], "twist_count": 12, "twists": [["2.13.af_bg", "2.169.bn_bbk", 2], ["2.13.b_u", "2.169.bn_bbk", 2], ["2.13.f_bg", "2.169.bn_bbk", 2], ["2.13.ak_bv", "2.2197.u_acvi", 3], ["2.13.c_l", "2.2197.u_acvi", 3], ["2.13.ai_bp", "2.4826809.agga_zfynm", 6], ["2.13.ae_f", "2.4826809.agga_zfynm", 6], ["2.13.ac_l", "2.4826809.agga_zfynm", 6], ["2.13.e_f", "2.4826809.agga_zfynm", 6], ["2.13.i_bp", "2.4826809.agga_zfynm", 6], ["2.13.k_bv", "2.4826809.agga_zfynm", 6]], "weak_equivalence_count": 6, "zfv_index": 100, "zfv_index_factorization": [[2, 2], [5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2064, "zfv_singular_count": 4, "zfv_singular_primes": ["5,42*F+2*V-1", "2,F+9"]}