# Stored data for abelian variety isogeny class 2.43.a_acs, downloaded from the LMFDB on 11 July 2026.
{"abvar_count": 1780, "abvar_counts": [1780, 3168400, 6321408340, 11679989760000, 21611482607038900, 39960203401021555600, 73885357344336759357460, 136614151793570713436160000, 252599333573497294826351228020, 467056180474344889795826113210000], "abvar_counts_str": "1780 3168400 6321408340 11679989760000 21611482607038900 39960203401021555600 73885357344336759357460 136614151793570713436160000 252599333573497294826351228020 467056180474344889795826113210000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.0986555104570412, 0.901344489542959], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 44, "curve_counts": [44, 1710, 79508, 3416398, 147008444, 6321453630, 271818611108, 11688211063198, 502592611936844, 21611482900793550], "curve_counts_str": "44 1710 79508 3416398 147008444 6321453630 271818611108 11688211063198 502592611936844 21611482900793550 ", "curves": ["y^2=15*x^6+14*x^5+22*x^4+18*x^3+27*x^2+15*x+16", "y^2=2*x^6+42*x^5+23*x^4+11*x^3+38*x^2+2*x+5", "y^2=15*x^6+42*x^4+26*x^3+10*x^2+7", "y^2=33*x^6+18*x^5+21*x^4+16*x^3+7*x^2+41*x+19", "y^2=36*x^6+8*x^5+24*x^4+39*x^3+42*x^2+14*x+42", "y^2=11*x^6+37*x^5+20*x^4+32*x^3+29*x^2+5*x+22", "y^2=4*x^6+36*x^5+7*x^4+26*x^3+13*x^2+25*x+27", "y^2=3*x^6+20*x^5+19*x^4+8*x^3+11*x^2+26*x+31", "y^2=36*x^6+9*x^5+22*x+9", "y^2=16*x^6+40*x^5+36*x^4+25*x^2+33*x+41", "y^2=5*x^6+19*x^5+8*x^4+8*x^3+21*x^2+33*x+33", "y^2=15*x^6+14*x^5+24*x^4+24*x^3+20*x^2+13*x+13", "y^2=38*x^6+x^5+42*x^4+19*x^3+14*x^2+24*x+3", "y^2=7*x^6+28*x^5+3*x^4+42*x^3+16*x^2+34*x+1", "y^2=21*x^6+41*x^5+9*x^4+40*x^3+5*x^2+16*x+3", "y^2=40*x^6+x^5+11*x^4+9*x^2+37*x+40", "y^2=31*x^6+37*x^5+12*x^4+27*x^3+31*x^2+37*x+12", "y^2=27*x^6+31*x^5+36*x^4+28*x^2+23*x+35", "y^2=13*x^6+30*x^5+17*x^4+4*x^3+32*x^2+20*x+18", "y^2=x^6+6*x^5+3*x^4+3*x^2+37*x+1", "y^2=9*x^6+4*x^5+23*x^4+29*x^3+29*x^2+14*x+7", "y^2=6*x^6+39*x^5+27*x^3+2*x^2+23*x+41", "y^2=18*x^6+31*x^5+38*x^3+6*x^2+26*x+37", "y^2=18*x^6+15*x^5+23*x^4+14*x^2+12*x+29", "y^2=22*x^6+9*x^5+12*x^4+34*x^2+3*x+27", "y^2=16*x^6+20*x^5+10*x^4+38*x^3+27*x^2+34*x+27", "y^2=5*x^6+10*x^5+7*x^4+15*x^3+25*x^2+27*x", "y^2=15*x^6+30*x^5+21*x^4+2*x^3+32*x^2+38*x", "y^2=23*x^6+17*x^4+41*x^3+25*x^2+29*x+39", "y^2=26*x^6+8*x^4+37*x^3+32*x^2+x+31", "y^2=11*x^6+36*x^5+22*x^4+40*x^3+8*x^2+12*x+33", "y^2=26*x^6+2*x^5+25*x^4+32*x^3+31*x^2+12*x+24", "y^2=35*x^6+6*x^5+32*x^4+10*x^3+7*x^2+36*x+29", "y^2=22*x^6+35*x^5+22*x^4+14*x^3+28*x^2+35*x+2", "y^2=23*x^6+19*x^5+23*x^4+42*x^3+41*x^2+19*x+6", "y^2=4*x^6+17*x^5+36*x^4+20*x^3+7*x^2+17*x+39", "y^2=2*x^6+23*x^5+15*x^4+2*x^3+32*x^2+16*x+35", "y^2=22*x^6+14*x^5+22*x^4+2*x^2+34*x+32", "y^2=12*x^6+9*x^5+35*x^4+42*x^2+25*x+40", "y^2=10*x^5+40*x^4+15*x^3+17*x^2+19*x+5", "y^2=30*x^5+34*x^4+2*x^3+8*x^2+14*x+15", "y^2=20*x^6+7*x^5+6*x^4+6*x^3+5*x^2+18*x+6", "y^2=31*x^6+19*x^5+13*x^4+36*x^3+35*x^2+40*x+3", "y^2=7*x^6+14*x^5+39*x^4+22*x^3+19*x^2+34*x+9", "y^2=37*x^6+24*x^5+32*x^4+5*x^3+15*x^2+13*x+23", "y^2=20*x^6+18*x^5+24*x^4+8*x^3+33*x^2+30*x+10", "y^2=39*x^6+33*x^5+30*x^4+31*x^3+35*x^2+10", "y^2=31*x^6+13*x^5+4*x^4+7*x^3+19*x^2+30", "y^2=25*x^6+13*x^5+5*x^4+20*x^2+7*x+9", "y^2=38*x^6+3*x^5+21*x^4+31*x^3+27*x^2+19*x+33", "y^2=11*x^6+36*x^5+42*x^4+20*x^3+10*x^2+33*x", "y^2=33*x^6+22*x^5+40*x^4+17*x^3+30*x^2+13*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": 7, "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": ["2.0.39.1"], "geometric_splitting_field": "2.0.39.1", "geometric_splitting_polynomials": [[10, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 52, "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": 52, "label": "2.43.a_acs", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.24336.2"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, -70, 0, 1849], "poly_str": "1 0 -70 0 1849 ", "primitive_models": [], "q": 43, "real_poly": [1, 0, -156], "simple_distinct": ["2.43.a_acs"], "simple_factors": ["2.43.a_acsA"], "simple_multiplicities": [1], "singular_primes": ["2,F^2+2*F-V-6"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.24336.2", "splitting_polynomials": [[100, 0, -19, 0, 1]], "twist_count": 6, "twists": [["2.43.ai_dy", "2.3418801.adom_sdgcc", 4], ["2.43.a_cs", "2.3418801.adom_sdgcc", 4], ["2.43.i_dy", "2.3418801.adom_sdgcc", 4], ["2.43.ae_abb", "2.39959630797262576401.cqowxvbw_czlakwmmyqtbwyg", 12], ["2.43.e_abb", "2.39959630797262576401.cqowxvbw_czlakwmmyqtbwyg", 12]], "weak_equivalence_count": 7, "zfv_index": 64, "zfv_index_factorization": [[2, 6]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 256, "zfv_singular_count": 2, "zfv_singular_primes": ["2,F^2+2*F-V-6"]}