# Stored data for abelian variety isogeny class 2.43.a_aq, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 1834, "abvar_counts": [1834, 3363556, 6321447706, 11711753995536, 21611482076599114, 39960701099692662436, 73885357344663751986106, 136613908619157369338265600, 252599333573497062086824950634, 467056157547164752721320265584996], "abvar_counts_str": "1834 3363556 6321447706 11711753995536 21611482076599114 39960701099692662436 73885357344663751986106 136613908619157369338265600 252599333573497062086824950634 467056157547164752721320265584996 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.220216243290168, 0.779783756709832], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 44, "curve_counts": [44, 1818, 79508, 3425686, 147008444, 6321532362, 271818611108, 11688190258078, 502592611936844, 21611481839913978], "curve_counts_str": "44 1818 79508 3425686 147008444 6321532362 271818611108 11688190258078 502592611936844 21611481839913978 ", "curves": ["y^2=37*x^6+27*x^5+31*x^4+6*x^3+31*x+11", "y^2=25*x^6+38*x^5+7*x^4+18*x^3+7*x+33", "y^2=9*x^6+26*x^5+39*x^4+16*x^3+41*x^2+27*x+18", "y^2=27*x^6+35*x^5+31*x^4+5*x^3+37*x^2+38*x+11", "y^2=25*x^5+23*x^4+x^3+37*x^2+13*x+26", "y^2=32*x^5+26*x^4+3*x^3+25*x^2+39*x+35", "y^2=7*x^6+20*x^5+3*x^4+18*x^3+6*x^2+37*x+7", "y^2=21*x^6+17*x^5+9*x^4+11*x^3+18*x^2+25*x+21", "y^2=20*x^6+14*x^5+3*x^4+23*x^3+7*x^2+27*x+29", "y^2=17*x^6+42*x^5+9*x^4+26*x^3+21*x^2+38*x+1", "y^2=25*x^6+42*x^5+24*x^4+22*x^3+29*x^2+21*x+37", "y^2=32*x^6+40*x^5+29*x^4+23*x^3+x^2+20*x+25", "y^2=41*x^6+4*x^5+x^4+25*x^3+21*x^2+13*x+11", "y^2=37*x^6+12*x^5+3*x^4+32*x^3+20*x^2+39*x+33", "y^2=24*x^6+6*x^5+20*x^4+14*x^3+25*x^2+22*x+36", "y^2=29*x^6+18*x^5+17*x^4+42*x^3+32*x^2+23*x+22", "y^2=32*x^6+29*x^5+15*x^4+14*x^3+37*x^2+36*x+35", "y^2=10*x^6+x^5+2*x^4+42*x^3+25*x^2+22*x+19", "y^2=22*x^6+5*x^5+32*x^4+40*x^3+16*x^2+40*x+4", "y^2=23*x^6+15*x^5+10*x^4+34*x^3+5*x^2+34*x+12", "y^2=31*x^6+30*x^5+5*x^4+29*x^3+30*x^2+37*x+15", "y^2=7*x^6+4*x^5+15*x^4+x^3+4*x^2+25*x+2", "y^2=19*x^6+16*x^5+19*x^4+30*x^3+14*x^2+x+17", "y^2=14*x^6+5*x^5+14*x^4+4*x^3+42*x^2+3*x+8", "y^2=38*x^6+16*x^5+23*x^4+30*x^3+12*x^2+32*x+20", "y^2=28*x^6+5*x^5+26*x^4+4*x^3+36*x^2+10*x+17", "y^2=7*x^6+14*x^5+36*x^4+38*x^3+2*x^2+30*x+17", "y^2=21*x^6+42*x^5+22*x^4+28*x^3+6*x^2+4*x+8", "y^2=x^6+23*x^5+39*x^4+25*x^3+x^2+41*x+9", "y^2=3*x^6+26*x^5+31*x^4+32*x^3+3*x^2+37*x+27", "y^2=18*x^6+21*x^5+11*x^4+21*x^3+29*x^2+41*x+23", "y^2=11*x^6+20*x^5+33*x^4+20*x^3+x^2+37*x+26", "y^2=24*x^6+41*x^5+2*x^4+25*x^3+5*x^2+42*x+13", "y^2=29*x^6+37*x^5+6*x^4+32*x^3+15*x^2+40*x+39", "y^2=17*x^6+31*x^5+30*x^4+41*x^3+7*x^2+19*x+18", "y^2=8*x^6+7*x^5+4*x^4+37*x^3+21*x^2+14*x+11", "y^2=15*x^6+25*x^5+8*x^4+37*x^3+38*x^2+3*x+40", "y^2=2*x^6+32*x^5+24*x^4+25*x^3+28*x^2+9*x+34", "y^2=35*x^6+10*x^5+41*x^4+2*x^3+12*x^2+31*x+24", "y^2=19*x^6+30*x^5+37*x^4+6*x^3+36*x^2+7*x+29", "y^2=19*x^6+33*x^5+36*x^4+35*x^3+38*x^2+35*x+11", "y^2=14*x^6+13*x^5+22*x^4+19*x^3+28*x^2+19*x+33", "y^2=7*x^6+23*x^5+17*x^4+19*x^3+40*x^2+30*x+10", "y^2=21*x^6+26*x^5+8*x^4+14*x^3+34*x^2+4*x+30", "y^2=18*x^6+20*x^5+4*x^4+4*x^3+23*x^2+5*x+31", "y^2=11*x^6+17*x^5+12*x^4+12*x^3+26*x^2+15*x+7", "y^2=31*x^6+36*x^5+42*x^4+4*x^3+33*x^2+41*x+41", "y^2=7*x^6+22*x^5+40*x^4+12*x^3+13*x^2+37*x+37"], "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": 1, "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": ["2.0.7140.1"], "geometric_splitting_field": "2.0.7140.1", "geometric_splitting_polynomials": [[1785, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 48, "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": 48, "label": "2.43.a_aq", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.815673600.4"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 2, 1, 2], [1, 7, 1, 4], [1, 7, 2, 4], [1, 17, 1, 4], [1, 19, 1, 8]], "poly": [1, 0, -16, 0, 1849], "poly_str": "1 0 -16 0 1849 ", "primitive_models": [], "principal_polarization_count": 64, "q": 43, "real_poly": [1, 0, -102], "simple_distinct": ["2.43.a_aq"], "simple_factors": ["2.43.a_aqA"], "simple_multiplicities": [1], "singular_primes": [], "size": 128, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.815673600.4", "splitting_polynomials": [[1849, 0, -16, 0, 1]], "twist_count": 2, "twists": [["2.43.a_q", "2.3418801.keu_boxcmo", 4]], "weak_equivalence_count": 1, "zfv_index": 1, "zfv_index_factorization": [], "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_pic_size": 128, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 4900, "zfv_singular_count": 0, "zfv_singular_primes": []}