# Stored data for abelian variety isogeny class 2.13.ad_ae, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 124, "abvar_counts": [124, 25792, 4443664, 814305024, 137479333324, 23262332194816, 3937513182225292, 665371973760998400, 112452526597490782096, 19005005675958910658752], "abvar_counts_str": "124 25792 4443664 814305024 137479333324 23262332194816 3937513182225292 665371973760998400 112452526597490782096 19005005675958910658752 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0300894917429696, 0.696756158409636], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 11, "curve_counts": [11, 153, 2018, 28513, 370271, 4819398, 62750699, 815676001, 10604227754, 137858795793], "curve_counts_str": "11 153 2018 28513 370271 4819398 62750699 815676001 10604227754 137858795793 ", "curves": ["y^2=6*x^6+4*x^5+10*x^4+7*x^3+8*x^2+10*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": 3, "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": 1, "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": 1, "label": "2.13.ad_ae", "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": 13, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -3, -4, -39, 169], "poly_str": "1 -3 -4 -39 169 ", "primitive_models": [], "q": 13, "real_poly": [1, -3, -30], "simple_distinct": ["2.13.ad_ae"], "simple_factors": ["2.13.ad_aeA"], "simple_multiplicities": [1], "singular_primes": ["2,3*F-1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.16641.1", "splitting_polynomials": [[121, -11, -10, -1, 1]], "twist_count": 6, "twists": [["2.13.d_ae", "2.169.ar_eq", 2], ["2.13.g_bj", "2.2197.agy_smo", 3], ["2.13.ag_bj", "2.4826809.akzc_bzerso", 6], ["2.13.a_r", "2.4826809.akzc_bzerso", 6], ["2.13.a_ar", "2.23298085122481.arwjlc_lqwvyaeueo", 12]], "weak_equivalence_count": 3, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 16, "zfv_singular_count": 2, "zfv_singular_primes": ["2,3*F-1"]}