# Stored data for abelian variety isogeny class 6.2.ak_cb_ahg_sy_abme_ciq, downloaded from the LMFDB on 17 January 2026.
{"abvar_count": 4, "abvar_counts": [4, 40000, 5597956, 100000000, 1367668324, 55979560000, 3287686987204, 212576400000000, 14362823545620004, 1034299170025000000], "abvar_counts_str": "4 40000 5597956 100000000 1367668324 55979560000 3287686987204 212576400000000 14362823545620004 1034299170025000000 ", "angle_corank": 5, "angle_rank": 1, "angles": [0.25, 0.25, 0.25, 0.25, 0.384973271918692, 0.384973271918692], "center_dim": 4, "curve_count": -7, "curve_counts": [-7, 11, 35, 47, 43, 47, 91, 191, 395, 911], "curve_counts_str": "-7 11 35 47 43 47 91 191 395 911 ", "curves": [], "dim1_distinct": 2, "dim1_factors": 6, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 6, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "geom_dim1_factors": 6, "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": 3, "geometric_extension_degree": 4, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.7.1"], "geometric_splitting_field": "4.0.784.1", "geometric_splitting_polynomials": [[2, -1, 1]], "has_geom_ss_factor": true, "has_jacobian": -1, "has_principal_polarization": 1, "hyp_count": 0, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 0, "label": "6.2.ak_cb_ahg_sy_abme_ciq", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 120, "newton_coelevation": 6, "newton_elevation": 6, "noncyclic_primes": [2], "number_fields": ["2.0.4.1", "2.0.7.1"], "p": 2, "p_rank": 2, "p_rank_deficit": 4, "poly": [1, -10, 53, -188, 492, -992, 1576, -1984, 1968, -1504, 848, -320, 64], "poly_str": "1 -10 53 -188 492 -992 1576 -1984 1968 -1504 848 -320 64 ", "primitive_models": [], "q": 2, "real_poly": [1, -10, 41, -88, 104, -64, 16], "simple_distinct": ["1.2.ac", "1.2.ab"], "simple_factors": ["1.2.acA", "1.2.acB", "1.2.acC", "1.2.acD", "1.2.abA", "1.2.abB"], "simple_multiplicities": [4, 2], "slopes": ["0A", "0B", "1/2A", "1/2B", "1/2C", "1/2D", "1/2E", "1/2F", "1/2G", "1/2H", "1A", "1B"], "splitting_field": "4.0.784.1", "splitting_polynomials": [[4, 0, -3, 0, 1]], "twist_count": 390, "twists": [["6.2.ai_bj_aea_jc_aqq_zo", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.ag_v_aca_ee_ahk_lk", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.ag_v_abw_dg_aeq_gm", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.ae_l_au_bk_ace_dk", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.ac_f_ai_u_ay_bo", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.ac_f_ae_m_aq_bo", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.a_d_a_m_a_y", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.c_f_e_m_q_bo", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.c_f_i_u_y_bo", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.e_l_u_bk_ce_dk", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.g_v_bw_dg_eq_gm", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.g_v_ca_ee_hk_lk", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.i_bj_ea_jc_qq_zo", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.k_cb_hg_sy_bme_ciq", "6.4.g_bh_eq_ou_bky_dem", 2], ["6.2.ah_x_abm_m_dk_ahs", "6.8.ba_mr_dye_wlk_drgi_lvsa", 3], ["6.2.ae_l_ao_g_bc_ace", "6.8.ba_mr_dye_wlk_drgi_lvsa", 3], ["6.2.ab_ab_k_ag_ai_bo", "6.8.ba_mr_dye_wlk_drgi_lvsa", 3], ["6.2.c_f_q_y_bo_cy", "6.8.ba_mr_dye_wlk_drgi_lvsa", 3], ["6.2.f_l_w_bw_cy_dw", "6.8.ba_mr_dye_wlk_drgi_lvsa", 3], ["6.2.ai_bd_ace_bs_bw_afw", "6.16.be_qb_fmu_bkqq_hprs_bhquq", 4], ["6.2.ae_f_e_am_ai_bo", "6.16.be_qb_fmu_bkqq_hprs_bhquq", 4], ["6.2.a_ad_a_m_a_ay", "6.16.be_qb_fmu_bkqq_hprs_bhquq", 4], ["6.2.e_f_ae_am_i_bo", "6.16.be_qb_fmu_bkqq_hprs_bhquq", 4], ["6.2.i_bd_ce_bs_abw_afw", "6.16.be_qb_fmu_bkqq_hprs_bhquq", 4], ["6.2.a_d_c_c_i_ae", "6.32.k_ah_abjs_agvg_zto_pzbk", 5], ["6.2.aj_bn_aec_hw_ama_qy", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ai_bj_aec_jm_ars_bbk", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ah_x_aby_dm_afw_iy", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ag_v_ace_eq_aii_mu", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ag_v_acc_ek_ahw_ma", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.af_l_aw_bw_acy_dw", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.af_l_ao_u_abw_dk", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.af_l_ak_ag_bg_ace", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ae_l_abc_ce_ads_fs", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ae_l_aba_cc_ado_fg", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ae_l_aw_bm_aci_dk", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ad_d_ag_s_ay_y", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ad_d_ac_a_m_abc", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ad_d_c_ag_a_i", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ad_d_g_am_a_y", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ac_f_aq_y_abo_cy", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ac_f_ak_s_abc_bo", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ac_f_ae_a_i_au", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ac_f_ac_c_m_ai", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ab_ab_ac_a_e_e", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ab_ab_ac_m_ai_ai", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ab_ab_c_c_a_ai", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.a_d_ag_g_am_y", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.a_d_ac_g_am_i", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.a_d_a_a_a_am", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.a_d_c_g_m_i", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.a_d_g_g_m_y", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.b_ab_ak_ag_i_bo", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.b_ab_ac_c_a_ai", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.b_ab_c_a_ae_e", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.b_ab_c_m_i_ai", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.c_f_c_c_am_ai", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.c_f_e_a_ai_au", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.c_f_k_s_bc_bo", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.d_d_ag_am_a_y", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.d_d_ac_ag_a_i", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.d_d_c_a_am_abc", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.d_d_g_s_y_y", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.e_l_o_g_abc_ace", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.e_l_w_bm_ci_dk", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.e_l_ba_cc_do_fg", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.e_l_bc_ce_ds_fs", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.f_l_k_ag_abg_ace", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.f_l_o_u_bw_dk", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.g_v_cc_ek_hw_ma", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.g_v_ce_eq_ii_mu", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.h_x_bm_m_adk_ahs", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.h_x_by_dm_fw_iy", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.i_bj_ec_jm_rs_bbk", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.j_bn_ec_hw_ma_qy", "6.64.as_rx_aino_eroq_abpyqy_pvomy", 6], ["6.2.ai_bl_aeo_lc_avk_bho", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ag_r_aba_q_u_ace", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ag_r_ay_a_cu_afw", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ag_x_ack_fg_ajk_om", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ag_z_acu_gm_ama_su", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ae_b_u_abg_ay_ea", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ae_h_ae_ai_y_abo", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ae_j_am_i_i_ay", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ae_j_ak_ae_bk_acu", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ae_n_abe_cm_aee_gm", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ae_n_aba_bw_acq_ea", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ae_p_abk_dc_afg_ii", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ae_r_abq_dw_agq_ku", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_ad_k_ae_am_y", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_ad_m_am_aq_ce", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_b_a_a_i_ay", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_b_c_a_ae_i", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_b_e_ai_a_i", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_d_ac_ae_m_ay", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_f_ag_e_e_ai", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_f_ae_ae_q_abo", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_h_ak_y_abc_ce", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_j_aq_bo_ace_ea", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_j_am_bg_abg_cu", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_l_as_ca_acq_fg", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.ac_n_au_cq_adc_hc", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_al_a_ca_a_afg", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_ah_a_y_a_ace", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_af_a_e_a_i", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_ad_a_ae_a_y", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_ab_a_a_a_ai", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_b_ac_ae_e_ai", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_b_a_a_a_i", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_b_c_ae_ae_ai", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_d_a_ae_a_ay", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_f_ac_q_ae_bo", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_f_a_e_a_ai", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_f_c_q_e_bo", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_h_a_y_a_ce", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_j_ac_bk_am_dk", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_j_c_bk_m_dk", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.a_l_a_ca_a_fg", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_ad_am_am_q_ce", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_ad_ak_ae_m_y", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_b_ae_ai_a_i", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_b_ac_a_e_i", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_b_a_a_ai_ay", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_d_c_ae_am_ay", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_f_e_ae_aq_abo", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_f_g_e_ae_ai", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_h_k_y_bc_ce", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], ["6.2.c_j_m_bg_bg_cu", "6.256.aco_bbd_ckro_achgoe_aovxzs_biznogu", 8], 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