# Stored data for abelian variety isogeny class 2.43.a_dh, downloaded from the LMFDB on 08 November 2025.
{"abvar_count": 1935, "abvar_counts": [1935, 3744225, 6321505680, 11664103325625, 21611482525742175, 39961434062272262400, 73885357344400219280295, 136613894771802140566475625, 252599333573498257531075217040, 467056176960459379711534573730625], "abvar_counts_str": "1935 3744225 6321505680 11664103325625 21611482525742175 39961434062272262400 73885357344400219280295 136613894771802140566475625 252599333573498257531075217040 467056176960459379711534573730625 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.475705518657663, 0.524294481342337], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 44, "curve_counts": [44, 2020, 79508, 3411748, 147008444, 6321648310, 271818611108, 11688189073348, 502592611936844, 21611482738200100], "curve_counts_str": "44 2020 79508 3411748 147008444 6321648310 271818611108 11688189073348 502592611936844 21611482738200100 ", "curves": ["y^2=2*x^6+4*x^5+18*x^4+15*x^3+33*x^2+31*x+29", "y^2=6*x^6+12*x^5+11*x^4+2*x^3+13*x^2+7*x+1", "y^2=12*x^6+11*x^5+8*x^4+10*x^3+7*x^2+40*x+3", "y^2=36*x^6+33*x^5+24*x^4+30*x^3+21*x^2+34*x+9", "y^2=26*x^6+24*x^5+41*x^4+16*x^3+13*x^2+25*x+30", "y^2=35*x^6+29*x^5+37*x^4+5*x^3+39*x^2+32*x+4", "y^2=40*x^6+x^5+12*x^4+12*x^3+30*x^2+17*x+23", "y^2=34*x^6+3*x^5+36*x^4+36*x^3+4*x^2+8*x+26", "y^2=14*x^6+36*x^5+18*x^4+39*x^3+5*x^2+41*x+25", "y^2=42*x^6+22*x^5+11*x^4+31*x^3+15*x^2+37*x+32", "y^2=42*x^6+39*x^5+31*x^4+25*x^3+17*x^2+29*x+39", "y^2=40*x^6+31*x^5+7*x^4+32*x^3+8*x^2+x+31", "y^2=12*x^6+34*x^5+15*x^4+29*x^3+24*x^2+32*x+12", "y^2=36*x^6+16*x^5+2*x^4+x^3+29*x^2+10*x+36", "y^2=36*x^6+8*x^5+14*x^4+37*x^3+10*x^2+19*x+15", "y^2=22*x^6+24*x^5+42*x^4+25*x^3+30*x^2+14*x+2", "y^2=32*x^6+32*x^5+18*x^4+32*x^3+34*x^2+8*x+39", "y^2=10*x^6+10*x^5+11*x^4+10*x^3+16*x^2+24*x+31", "y^2=24*x^6+36*x^5+33*x^4+36*x^3+8*x^2+11*x+40", "y^2=29*x^6+22*x^5+13*x^4+22*x^3+24*x^2+33*x+34", "y^2=19*x^6+14*x^5+15*x^4+38*x^3+31*x^2+21*x+3", "y^2=14*x^6+42*x^5+2*x^4+28*x^3+7*x^2+20*x+9", "y^2=40*x^6+38*x^5+5*x^4+30*x^3+27*x^2+9*x+24", "y^2=34*x^6+28*x^5+15*x^4+4*x^3+38*x^2+27*x+29", "y^2=34*x^6+30*x^5+7*x^4+27*x^3+12*x^2+32*x+29", "y^2=16*x^6+4*x^5+21*x^4+38*x^3+36*x^2+10*x+1", "y^2=13*x^6+17*x^5+x^4+26*x^3+9*x^2+x+17", "y^2=39*x^6+8*x^5+3*x^4+35*x^3+27*x^2+3*x+8", "y^2=18*x^6+18*x^5+10*x^4+13*x^3+11*x^2+2*x+28", "y^2=11*x^6+11*x^5+30*x^4+39*x^3+33*x^2+6*x+41", "y^2=38*x^6+23*x^5+13*x^4+18*x^3+24*x^2+13*x+6", "y^2=28*x^6+26*x^5+39*x^4+11*x^3+29*x^2+39*x+18", "y^2=23*x^6+26*x^5+42*x^3+2*x+10", "y^2=26*x^6+35*x^5+40*x^3+6*x+30", "y^2=9*x^6+20*x^5+8*x^4+29*x^3+7*x^2+18*x+13", "y^2=27*x^6+17*x^5+24*x^4+x^3+21*x^2+11*x+39", "y^2=41*x^6+40*x^5+39*x^4+31*x^3+30*x^2+14*x+16", "y^2=37*x^6+34*x^5+31*x^4+7*x^3+4*x^2+42*x+5", "y^2=24*x^6+10*x^5+33*x^4+4*x^3+29*x^2+11*x+6", "y^2=29*x^6+30*x^5+13*x^4+12*x^3+x^2+33*x+18", "y^2=11*x^6+10*x^4+12*x^3+13*x^2+4", "y^2=33*x^6+30*x^4+36*x^3+39*x^2+12", "y^2=26*x^6+x^5+26*x^4+35*x^3+12*x^2+31*x+28", "y^2=35*x^6+3*x^5+35*x^4+19*x^3+36*x^2+7*x+41", "y^2=38*x^6+42*x^5+19*x^4+15*x^3+18*x^2+29*x+31", "y^2=28*x^6+40*x^5+14*x^4+2*x^3+11*x^2+x+7", "y^2=36*x^6+37*x^5+19*x^4+11*x^3+39*x^2+29*x+21", "y^2=22*x^6+25*x^5+14*x^4+33*x^3+31*x^2+x+20", "y^2=34*x^6+32*x^5+8*x^4+31*x^3+34*x^2+19*x+26", "y^2=16*x^6+10*x^5+24*x^4+7*x^3+16*x^2+14*x+35", "y^2=3*x^6+6*x^5+23*x^4+36*x^3+25*x^2+4*x+19", "y^2=9*x^6+18*x^5+26*x^4+22*x^3+32*x^2+12*x+14", "y^2=28*x^6+15*x^5+6*x^4+37*x^3+6*x^2+15*x+28", "y^2=41*x^6+2*x^5+18*x^4+25*x^3+18*x^2+2*x+41", "y^2=x^6+33*x^5+35*x^4+20*x^3+15*x^2+28*x+16", "y^2=3*x^6+13*x^5+19*x^4+17*x^3+2*x^2+41*x+5", "y^2=37*x^6+8*x^5+28*x^4+19*x^3+5*x^2+16*x+21", "y^2=25*x^6+24*x^5+41*x^4+14*x^3+15*x^2+5*x+20", "y^2=33*x^6+7*x^5+24*x^4+22*x^3+24*x^2+7*x+33", "y^2=13*x^6+21*x^5+29*x^4+23*x^3+29*x^2+21*x+13", "y^2=9*x^6+8*x^5+28*x^4+17*x^3+28*x^2+8*x+9", "y^2=27*x^6+24*x^5+41*x^4+8*x^3+41*x^2+24*x+27", "y^2=3*x^6+26*x^5+17*x^4+41*x^3+6*x^2+8*x+12", "y^2=9*x^6+35*x^5+8*x^4+37*x^3+18*x^2+24*x+36", "y^2=16*x^6+x^4+3*x^3+11*x^2+11", "y^2=5*x^6+3*x^4+9*x^3+33*x^2+33", "y^2=2*x^6+41*x^5+14*x^4+3*x^3+35*x^2+9*x+42", "y^2=6*x^6+37*x^5+42*x^4+9*x^3+19*x^2+27*x+40", "y^2=15*x^6+10*x^5+12*x^4+12*x^3+34*x^2+11*x+36", "y^2=2*x^6+30*x^5+36*x^4+36*x^3+16*x^2+33*x+22"], "dim1_distinct": 2, "dim1_factors": 2, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 8, "g": 2, "galois_groups": ["2T1", "2T1"], "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": ["2.0.19.1"], "geometric_splitting_field": "2.0.19.1", "geometric_splitting_polynomials": [[5, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 70, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 70, "label": "2.43.a_dh", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.19.1", "2.0.19.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 12], [2, 5, 1, 12]], "poly": [1, 0, 85, 0, 1849], "poly_str": "1 0 85 0 1849 ", "primitive_models": [], "principal_polarization_count": 100, "q": 43, "real_poly": [1, 0, -1], "simple_distinct": ["1.43.ab", "1.43.b"], "simple_factors": ["1.43.abA", "1.43.bA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-9*F+V-5", "3,13*F-2", "3,V-13"], "size": 100, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.19.1", "splitting_polynomials": [[5, -1, 1]], "twist_count": 6, "twists": [["2.43.ac_dj", "2.1849.go_qed", 2], ["2.43.c_dj", "2.1849.go_qed", 2], ["2.43.a_adh", "2.3418801.akli_bqeutv", 4], ["2.43.ab_abq", "2.6321363049.qfzo_ecuhifpm", 6], ["2.43.b_abq", "2.6321363049.qfzo_ecuhifpm", 6]], "weak_equivalence_count": 8, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 48, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 29241, "zfv_singular_count": 6, "zfv_singular_primes": ["2,-9*F+V-5", "3,13*F-2", "3,V-13"]}