# Stored data for abelian variety isogeny class 2.43.a_acj, downloaded from the LMFDB on 13 January 2026.
{"abvar_count": 1789, "abvar_counts": [1789, 3200521, 6321474436, 11688049850841, 21611482524392989, 39961039045001518096, 73885357343762552698261, 136614185555539288600355625, 252599333573497330426178259364, 467056176902143560387402912354121], "abvar_counts_str": "1789 3200521 6321474436 11688049850841 21611482524392989 39961039045001518096 73885357343762552698261 136614185555539288600355625 252599333573497330426178259364 467056176902143560387402912354121 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.124505058505695, 0.875494941494305], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 44, "curve_counts": [44, 1728, 79508, 3418756, 147008444, 6321585822, 271818611108, 11688213951748, 502592611936844, 21611482735501728], "curve_counts_str": "44 1728 79508 3418756 147008444 6321585822 271818611108 11688213951748 502592611936844 21611482735501728 ", "curves": ["y^2=2*x^6+14*x^5+11*x^4+12*x^3+34*x^2+21*x+21", "y^2=22*x^6+26*x^5+20*x^4+2*x^3+22*x^2+18*x+17", "y^2=23*x^6+35*x^5+17*x^4+6*x^3+23*x^2+11*x+8", "y^2=6*x^6+35*x^5+32*x^4+5*x^3+11*x^2+21*x+21", "y^2=34*x^6+18*x^5+6*x^4+22*x^3+27*x^2+42*x+13", "y^2=23*x^6+11*x^5+9*x^4+19*x^3+8*x^2+16*x+15", "y^2=8*x^6+2*x^5+11*x^4+37*x^3+31*x^2+16*x+20", "y^2=24*x^6+6*x^5+33*x^4+25*x^3+7*x^2+5*x+17", "y^2=15*x^6+41*x^5+13*x^4+7*x^3+28*x^2+15*x+14", "y^2=39*x^6+11*x^5+28*x^4+12*x^3+12*x^2+10*x+21", "y^2=31*x^6+33*x^5+41*x^4+36*x^3+36*x^2+30*x+20", "y^2=26*x^6+29*x^5+13*x^4+24*x^3+21*x^2+4*x+10", "y^2=38*x^6+15*x^5+27*x^4+31*x^3+7*x^2+20*x+33", "y^2=28*x^6+2*x^5+38*x^4+7*x^3+21*x^2+17*x+13", "y^2=19*x^6+42*x^5+15*x^4+4*x^3+9*x^2+39*x+17", "y^2=14*x^6+40*x^5+2*x^4+12*x^3+27*x^2+31*x+8", "y^2=8*x^6+12*x^5+35*x^4+42*x^3+28*x^2+21*x+29", "y^2=24*x^6+36*x^5+19*x^4+40*x^3+41*x^2+20*x+1", "y^2=29*x^6+36*x^5+17*x^4+3*x^3+23*x^2+x+16", "y^2=37*x^6+41*x^5+2*x^4+3*x^3+16*x^2+34*x+36", "y^2=25*x^6+37*x^5+6*x^4+9*x^3+5*x^2+16*x+22"], "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.3.1"], "geometric_splitting_field": "2.0.3.1", "geometric_splitting_polynomials": [[1, -1, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 21, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 21, "label": "2.43.a_acj", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.144.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 13, 1, 6], [1, 37, 1, 12]], "poly": [1, 0, -61, 0, 1849], "poly_str": "1 0 -61 0 1849 ", "primitive_models": [], "principal_polarization_count": 31, "q": 43, "real_poly": [1, 0, -147], "simple_distinct": ["2.43.a_acj"], "simple_factors": ["2.43.a_acjA"], "simple_multiplicities": [1], "singular_primes": ["5,3*F^2-4*F-V+6", "7,25*F^2+88*F-59*V-3"], "size": 29, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.144.1", "splitting_polynomials": [[1, 0, -1, 0, 1]], "twist_count": 24, "twists": [["2.43.a_aw", "2.79507.a_giuc", 3], ["2.43.a_df", "2.79507.a_giuc", 3], ["2.43.ak_eh", "2.3418801.abu_ozbpb", 4], ["2.43.a_cj", "2.3418801.abu_ozbpb", 4], ["2.43.k_eh", "2.3418801.abu_ozbpb", 4], ["2.43.aba_jv", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.av_hi", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.as_fv", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.aq_fu", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.an_ew", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.ai_v", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.af_as", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.ad_bu", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.a_adf", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.a_w", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.d_bu", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.f_as", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.i_v", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.n_ew", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.q_fu", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.s_fv", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.v_hi", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12], ["2.43.ba_jv", "2.39959630797262576401.bnsjsxw_bggbmnnfrdaqbgg", 12]], "weak_equivalence_count": 4, "zfv_index": 1225, "zfv_index_factorization": [[5, 2], [7, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 24, "zfv_plus_index": 7, "zfv_plus_index_factorization": [[7, 1]], "zfv_plus_norm": 625, "zfv_singular_count": 4, "zfv_singular_primes": ["5,3*F^2-4*F-V+6", "7,25*F^2+88*F-59*V-3"]}