# Stored data for abelian variety isogeny class 2.43.ar_fw, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 1254, "abvar_counts": [1254, 3448500, 6372933336, 11700760500000, 21612454380561594, 39959623959787224000, 73885483879109848087626, 136614097311045372018000000, 252599343795235828773340419384, 467056162528889009681643228712500], "abvar_counts_str": "1254 3448500 6372933336 11700760500000 21612454380561594 39959623959787224000 73885483879109848087626 136614097311045372018000000 252599343795235828773340419384 467056162528889009681643228712500 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.183291501244178, 0.348746511119089], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 27, "curve_counts": [27, 1865, 80154, 3422473, 147015057, 6321361970, 271819076619, 11688206401873, 502592632274862, 21611482070426825], "curve_counts_str": "27 1865 80154 3422473 147015057 6321361970 271819076619 11688206401873 502592632274862 21611482070426825 ", "curves": ["y^2=30*x^6+8*x^5+38*x^4+30*x^3+17*x^2+18*x+22", "y^2=18*x^6+36*x^4+3*x^3+7*x^2+29*x+32", "y^2=2*x^6+19*x^5+42*x^4+36*x^3+27*x^2+x+12", "y^2=19*x^6+10*x^5+20*x^4+36*x^3+2*x^2+16*x+26", "y^2=29*x^6+27*x^5+3*x^4+39*x^3+33*x^2+24*x+17", "y^2=32*x^6+18*x^5+10*x^4+20*x^3+x^2+15*x+17", "y^2=28*x^6+30*x^5+37*x^4+32*x^3+13*x^2+14*x+8", "y^2=39*x^6+16*x^5+14*x^4+5*x^3+2*x^2+2*x+8", "y^2=29*x^6+x^5+42*x^4+21*x^3+20*x^2+7*x", "y^2=28*x^6+27*x^5+14*x^4+4*x^3+36*x^2+21*x+29", "y^2=42*x^6+32*x^5+34*x^4+38*x^3+31*x^2+34*x+6", "y^2=42*x^6+15*x^5+x^4+13*x^3+11*x^2+24*x+19", "y^2=8*x^6+26*x^5+17*x^4+25*x^3+3*x^2+36*x+14", "y^2=10*x^6+11*x^5+40*x^4+22*x^3+9*x^2+24*x+12", "y^2=8*x^6+24*x^5+10*x^4+19*x^3+29*x^2+40*x+7", "y^2=22*x^6+16*x^5+25*x^4+17*x^3+26*x^2+40*x+34"], "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": 4, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.51.1", "2.0.136.1"], "geometric_splitting_field": "4.0.166464.2", "geometric_splitting_polynomials": [[100, 0, 14, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 16, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 16, "label": "2.43.ar_fw", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.51.1", "2.0.136.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[2, 2, 1, 4], [1, 3, 1, 4], [2, 7, 1, 8]], "poly": [1, -17, 152, -731, 1849], "poly_str": "1 -17 152 -731 1849 ", "primitive_models": [], "principal_polarization_count": 24, "q": 43, "real_poly": [1, -17, 66], "simple_distinct": ["1.43.al", "1.43.ag"], "simple_factors": ["1.43.alA", "1.43.agA"], "simple_multiplicities": [1, 1], "singular_primes": ["5,11*F-14", "5,3*V-22"], "size": 104, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.166464.2", "splitting_polynomials": [[100, 0, 14, 0, 1]], "twist_count": 4, "twists": [["2.43.af_u", "2.1849.p_cwy", 2], ["2.43.f_u", "2.1849.p_cwy", 2], ["2.43.r_fw", "2.1849.p_cwy", 2]], "weak_equivalence_count": 4, "zfv_index": 25, "zfv_index_factorization": [[5, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 64, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 6936, "zfv_singular_count": 4, "zfv_singular_primes": ["5,11*F-14", "5,3*V-22"]}