# Stored data for abelian variety isogeny class 3.11.ap_ec_arc, downloaded from the LMFDB on 19 June 2026.
{"abvar_count": 330, "abvar_counts": [330, 1609740, 2473874370, 3209654147040, 4199877907500000, 5567066737264939500, 7404072869192276970330, 9851848788229557789651840, 13110722132111459976464687970, 17449427983357018525876560000000], "abvar_counts_str": "330 1609740 2473874370 3209654147040 4199877907500000 5567066737264939500 7404072869192276970330 9851848788229557789651840 13110722132111459976464687970 17449427983357018525876560000000 ", "angle_corank": 0, "angle_rank": 3, "angles": [0.140218899003772, 0.178435994482771, 0.329700688269473], "center_dim": 6, "curve_count": -3, "curve_counts": [-3, 109, 1395, 14969, 161922, 1773841, 19497237, 214404929, 2358078615, 25937462824], "curve_counts_str": "-3 109 1395 14969 161922 1773841 19497237 214404929 2358078615 25937462824 ", "curves": [], "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 3, "galois_groups": ["2T1", "4T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 6, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "4T1"], "geometric_number_fields": ["2.0.8.1", "4.0.125.1"], "geometric_splitting_field": "8.0.64000000.1", "geometric_splitting_polynomials": [[16, 0, -8, 0, 4, 0, -2, 0, 1]], "has_geom_ss_factor": false, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "label": "3.11.ap_ec_arc", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 10, "newton_coelevation": 4, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.8.1", "4.0.125.1"], "p": 11, "p_rank": 3, "p_rank_deficit": 0, "poly": [1, -15, 106, -444, 1166, -1815, 1331], "poly_str": "1 -15 106 -444 1166 -1815 1331 ", "primitive_models": [], "q": 11, "real_poly": [1, -15, 73, -114], "simple_distinct": ["1.11.ag", "2.11.aj_bp"], "simple_factors": ["1.11.agA", "2.11.aj_bpA"], "simple_multiplicities": [1, 1], "slopes": ["0A", "0B", "0C", "1A", "1B", "1C"], "splitting_field": "8.0.64000000.1", "splitting_polynomials": [[16, 0, -8, 0, 4, 0, -2, 0, 1]], "twist_count": 20, "twists": [["3.11.ad_ac_bw", "3.121.an_jo_acoq", 2], ["3.11.d_ac_abw", "3.121.an_jo_acoq", 2], ["3.11.p_ec_rc", "3.121.an_jo_acoq", 2], ["3.11.ak_bp_aeu", "3.161051.bhm_wqcv_mrtkye", 5], ["3.11.af_ae_cy", "3.161051.bhm_wqcv_mrtkye", 5], ["3.11.af_ba_aea", "3.161051.bhm_wqcv_mrtkye", 5], ["3.11.f_ae_acm", "3.161051.bhm_wqcv_mrtkye", 5], ["3.11.ar_ey_avc", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.ah_i_bg", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.ah_bm_afs", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.af_ae_cm", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.ac_ah_ca", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.c_ah_aca", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.f_ae_acy", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.f_ba_ea", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.h_i_abg", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.h_bm_fs", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.k_bp_eu", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10], ["3.11.r_ey_vc", "3.25937424601.ceoc_czkwjeqp_ateleujdrvfo", 10]]}