# Stored data for abelian variety isogeny class 2.43.ak_di, downloaded from the LMFDB on 27 March 2026.
{"abvar_count": 1496, "abvar_counts": [1496, 3554496, 6344579384, 11687524079616, 21614797647713336, 39961109565633237696, 73885297405960205562584, 136613882385237616128000000, 252599311066351484906222356376, 467056169496186572782627878050496], "abvar_counts_str": "1496 3554496 6344579384 11687524079616 21614797647713336 39961109565633237696 73885297405960205562584 136613882385237616128000000 252599311066351484906222356376 467056169496186572782627878050496 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.223975234504292, 0.5], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 34, "curve_counts": [34, 1922, 79798, 3418606, 147030994, 6321596978, 271818390598, 11688188013598, 502592567154754, 21611482392815522], "curve_counts_str": "34 1922 79798 3418606 147030994 6321596978 271818390598 11688188013598 502592567154754 21611482392815522 ", "curves": ["y^2=20*x^5+28*x^4+21*x^3+2*x^2+22*x+19", "y^2=32*x^6+22*x^5+14*x^4+36*x^3+35*x^2+32*x+42", "y^2=33*x^6+31*x^5+16*x^4+15*x^3+9*x^2+11*x+2", "y^2=18*x^6+27*x^5+14*x^4+2*x^3+16*x^2+2*x+18", "y^2=27*x^6+34*x^5+37*x^4+33*x^3+32*x^2+21*x+7", "y^2=28*x^6+32*x^5+21*x^4+26*x^3+41*x^2+5*x+15", "y^2=39*x^6+15*x^5+x^4+28*x^3+27*x^2+12*x+32", "y^2=33*x^6+11*x^5+23*x^4+26*x^3+6*x^2+22*x+42", "y^2=17*x^5+22*x^4+31*x^3+20*x^2+7*x+22", "y^2=3*x^6+24*x^5+14*x^4+41*x^3+37*x^2+30*x", "y^2=5*x^6+21*x^5+37*x^4+29*x^3+4*x^2+13*x+28", "y^2=25*x^6+29*x^5+29*x^4+20*x^3+8*x^2+6*x+20", "y^2=30*x^6+6*x^5+31*x^4+22*x^3+42*x^2+21*x+11", "y^2=28*x^6+24*x^5+15*x^4+42*x^3+22*x^2+17*x+21", "y^2=14*x^6+7*x^5+20*x^4+13*x^3+5*x^2+29*x+6", "y^2=5*x^6+6*x^5+2*x^4+38*x^3+17*x^2+18*x+32", "y^2=21*x^6+37*x^5+x^4+6*x^3+14*x^2+14*x", "y^2=30*x^6+18*x^5+38*x^4+17*x^3+13*x^2+8*x+31", "y^2=2*x^5+26*x^4+36*x^3+12*x^2+13*x+5", "y^2=18*x^6+12*x^5+18*x^4+32*x^3+28*x^2+37*x+29", "y^2=30*x^6+32*x^5+16*x^4+20*x^3+16*x^2+32*x+30", "y^2=13*x^6+30*x^5+20*x^4+7*x^3+17*x^2+8*x+40", "y^2=17*x^5+26*x^4+26*x^3+32*x^2+31*x+14", "y^2=19*x^6+24*x^5+31*x^4+30*x^3+x^2+40*x+27", "y^2=8*x^6+18*x^5+26*x^4+17*x^3+18*x^2+40*x+14", "y^2=15*x^6+37*x^5+26*x^4+9*x^3+15*x^2+26*x+35", "y^2=37*x^6+7*x^5+33*x^4+38*x^3+34*x^2+34*x+32", "y^2=29*x^6+32*x^5+39*x^4+13*x^3+3*x^2+18*x+18", "y^2=3*x^6+42*x^5+36*x^4+39*x^3+36*x^2+42*x+3", "y^2=41*x^6+20*x^5+16*x^4+13*x^3+41*x^2+9*x+42", "y^2=8*x^6+10*x^5+36*x^4+20*x^2+38*x+4", "y^2=34*x^6+42*x^5+2*x^4+29*x^3+19*x^2+25*x+17", "y^2=34*x^6+42*x^5+11*x^4+27*x^3+11*x^2+42*x+34", "y^2=20*x^6+13*x^5+33*x^4+26*x^3+33*x^2+13*x+20", "y^2=32*x^6+34*x^5+7*x^4+31*x^3+23*x^2+34*x+42", "y^2=22*x^6+20*x^5+7*x^4+41*x^3+35*x^2+10*x+18", "y^2=10*x^6+31*x^5+27*x^4+12*x^3+24*x^2+5*x+3", "y^2=8*x^6+18*x^5+11*x^4+26*x^3+2*x^2+24*x+34", "y^2=24*x^6+18*x^5+11*x^4+28*x^3+15*x^2+18*x+19", "y^2=39*x^6+14*x^5+40*x^4+27*x^3+22*x^2+19*x+32", "y^2=39*x^6+32*x^5+6*x^4+36*x^3+38*x^2+33*x+39", "y^2=39*x^6+39*x^5+14*x^4+17*x^3+9*x^2+8*x+42", "y^2=24*x^6+10*x^5+35*x^4+24*x^3+35*x^2+10*x+24", "y^2=16*x^6+4*x^5+21*x^4+30*x^3+28*x^2+40*x+41", "y^2=27*x^6+42*x^5+42*x^4+21*x^3+24*x^2+5*x+33", "y^2=19*x^6+9*x^4+29*x^3+15*x^2+28*x+10", "y^2=42*x^6+16*x^5+20*x^4+31*x^3+11*x+37", "y^2=21*x^6+28*x^5+32*x^4+41*x^3+x^2+30*x+2", "y^2=32*x^6+13*x^5+35*x^4+26*x^3+15*x^2+19*x+37", "y^2=33*x^6+25*x^5+29*x^4+30*x^3+36*x^2+17*x+22", "y^2=23*x^6+39*x^5+40*x^4+42*x^3+13*x^2+30*x+38", "y^2=18*x^6+7*x^5+x^4+35*x^3+x^2+7*x+18", "y^2=22*x^6+21*x^5+33*x^4+41*x^3+x^2+7*x+4", "y^2=7*x^6+7*x^5+9*x^4+42*x^3+5*x^2+27*x+7", "y^2=5*x^6+36*x^5+7*x^4+29*x^3+7*x^2+41*x+31", "y^2=19*x^6+16*x^5+14*x^4+30*x^3+2*x^2+12*x+26", "y^2=11*x^6+35*x^5+7*x^4+39*x^3+3*x^2+39*x+23", "y^2=6*x^6+x^5+4*x^4+25*x^3+5*x^2+34*x+1", "y^2=38*x^6+30*x^5+6*x^4+5*x^3+9*x^2+6*x+28", "y^2=28*x^6+9*x^5+30*x^4+7*x^3+39*x^2+40*x+10", "y^2=10*x^5+41*x^4+35*x^3+19*x^2+20*x+5", "y^2=19*x^6+19*x^5+40*x^4+30*x^3+17*x^2+32*x+5", "y^2=12*x^6+39*x^5+32*x^4+32*x^3+32*x^2+39*x+12", "y^2=4*x^6+18*x^5+36*x^4+34*x^3+31*x^2+19*x+38", "y^2=17*x^6+22*x^5+34*x^4+35*x^3+4*x^2+37*x+30", "y^2=13*x^6+24*x^5+6*x^4+9*x^3+8*x^2+5*x+29", "y^2=17*x^6+41*x^5+8*x^4+5*x^3+15*x^2+8*x", "y^2=5*x^6+18*x^5+12*x^4+30*x^3+29*x^2+3*x+5", "y^2=32*x^6+25*x^5+4*x^4+9*x^3+4*x^2+25*x+32", "y^2=40*x^6+38*x^5+35*x^4+x^3+26*x+32", "y^2=16*x^6+37*x^5+24*x^4+31*x^3+25*x^2+29*x+16", "y^2=3*x^5+12*x^4+6*x^3+5*x^2+7*x+16", "y^2=40*x^6+23*x^5+39*x^4+2*x^3+7*x^2+6*x+39", "y^2=40*x^6+14*x^5+5*x^4+32*x^3+28*x^2+36*x+5", "y^2=22*x^6+3*x^5+6*x^4+36*x^3+14*x^2+36*x+16", "y^2=37*x^6+26*x^5+4*x^4+27*x^3+13*x^2+22*x+5", "y^2=18*x^6+33*x^5+42*x^4+37*x^3+42*x^2+33*x+18", "y^2=11*x^6+42*x^5+34*x^4+27*x^3+41*x^2+28", "y^2=35*x^6+22*x^5+9*x^4+36*x^3+13*x^2+31*x+30", "y^2=21*x^6+12*x^5+34*x^4+3*x^3+24*x^2+8*x+19", "y^2=5*x^6+2*x^5+7*x^4+12*x^3+25*x^2+32*x+27", "y^2=7*x^6+5*x^5+18*x^4+20*x^3+23*x^2+13*x+34", "y^2=38*x^6+12*x^5+16*x^4+36*x^3+7*x^2+34*x+10", "y^2=5*x^6+16*x^5+11*x^4+34*x^3+29*x^2+20*x+2", "y^2=20*x^6+34*x^5+35*x^4+38*x^3+17*x^2+31*x+17", "y^2=32*x^6+12*x^5+12*x^4+31*x^3+18*x^2+28*x+15", "y^2=30*x^6+12*x^5+8*x^4+41*x^3+8*x^2+27*x+5", "y^2=32*x^6+36*x^5+24*x^4+30*x^3+33*x^2+41*x+17", "y^2=2*x^6+2*x^5+3*x^4+38*x^3+26*x^2+6*x+28", "y^2=10*x^6+39*x^5+40*x^4+5*x^3+24*x^2+15*x+6", "y^2=36*x^6+25*x^5+13*x^4+6*x^3+27*x^2+33*x+36", "y^2=22*x^6+29*x^5+41*x^4+11*x^3+22*x^2+21*x+21", "y^2=5*x^6+16*x^5+15*x^4+3*x^3+5*x^2+29*x+8", "y^2=33*x^6+x^5+5*x^4+26*x^3+7*x^2+13*x+42", "y^2=31*x^6+37*x^5+15*x^4+22*x^3+8*x^2+33*x+15", "y^2=3*x^6+9*x^5+40*x^4+30*x^3+20*x^2+12", "y^2=22*x^6+20*x^5+16*x^4+29*x^3+8*x^2+23*x+30", "y^2=12*x^6+32*x^5+23*x^4+24*x^3+21*x^2+24*x+30", "y^2=26*x^6+2*x^5+12*x^4+16*x^3+26*x^2+7*x+18", "y^2=3*x^6+20*x^5+30*x^4+12*x^3+30*x^2+20*x+3", "y^2=2*x^6+21*x^5+38*x^4+14*x^3+15*x^2+19*x+28", "y^2=5*x^6+35*x^5+16*x^4+5*x^2+15*x+6", "y^2=3*x^6+34*x^5+12*x^4+11*x^3+11*x^2+27*x+33", "y^2=18*x^6+5*x^5+7*x^4+35*x^3+35*x^2+4*x+6", "y^2=32*x^6+11*x^5+9*x^4+27*x^3+2*x^2+40*x+29", "y^2=18*x^6+36*x^5+31*x^4+24*x^3+6*x^2+22*x+39", "y^2=2*x^6+26*x^5+33*x^4+38*x^3+39*x^2+32*x+35", "y^2=8*x^6+40*x^5+28*x^4+40*x^3+25*x^2+25*x+18"], "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": 16, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 3, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.8.1"], "geometric_splitting_field": "2.0.8.1", "geometric_splitting_polynomials": [[2, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 108, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 108, "label": "2.43.ak_di", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "noncyclic_primes": [2], "number_fields": ["2.0.8.1", "2.0.43.1"], "p": 43, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, -10, 86, -430, 1849], "poly_str": "1 -10 86 -430 1849 ", "primitive_models": [], "q": 43, "real_poly": [1, -10], "simple_distinct": ["1.43.ak", "1.43.a"], "simple_factors": ["1.43.akA", "1.43.aA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,3*F-5", "3,V-8", "5,3*F^2-42*F+8*V+4"], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.118336.3", "splitting_polynomials": [[83, -26, 27, -2, 1]], "twist_count": 2, "twists": [["2.43.k_di", "2.1849.cu_dry", 2]], "weak_equivalence_count": 20, "zfv_index": 600, "zfv_index_factorization": [[2, 3], [3, 1], [5, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 12384, "zfv_singular_count": 6, "zfv_singular_primes": ["2,3*F-5", "3,V-8", "5,3*F^2-42*F+8*V+4"]}