# Stored data for abelian variety isogeny class 2.43.b_aba, downloaded from the LMFDB on 24 November 2025.
{"abvar_count": 1868, "abvar_counts": [1868, 3325040, 6338041808, 11707931345600, 21611492516814948, 39961141148278595840, 73885120957457125614164, 136613983832261320171539200, 252599318781506242111619129552, 467056157660140482587995994473200], "abvar_counts_str": "1868 3325040 6338041808 11707931345600 21611492516814948 39961141148278595840 73885120957457125614164 136613983832261320171539200 252599318781506242111619129552 467056157660140482587995994473200 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.220394801311937, 0.82097864584598], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 45, "curve_counts": [45, 1797, 79716, 3424569, 147008515, 6321601974, 271817741457, 11688196693041, 502592582505468, 21611481845141557], "curve_counts_str": "45 1797 79716 3424569 147008515 6321601974 271817741457 11688196693041 502592582505468 21611481845141557 ", "curves": ["y^2=17*x^6+19*x^5+37*x^4+39*x^3+35*x^2+39*x+20", "y^2=13*x^6+6*x^5+5*x^4+27*x^3+21*x^2+16*x+20", "y^2=13*x^6+26*x^5+23*x^4+9*x^3+28*x^2+28*x+4", "y^2=27*x^6+18*x^5+7*x^4+35*x^3+19*x^2+3*x+17", "y^2=21*x^6+18*x^5+11*x^4+18*x^3+2*x^2+9*x", "y^2=38*x^6+9*x^5+33*x^3+26*x^2+5*x+5", "y^2=7*x^6+39*x^5+40*x^4+5*x^3+20*x^2+37*x", "y^2=41*x^6+35*x^5+12*x^4+23*x^3+33*x^2+40*x+8", "y^2=40*x^6+42*x^5+7*x^4+40*x^3+37*x^2+29*x+38", "y^2=40*x^6+6*x^5+42*x^4+16*x^3+31*x^2+8", "y^2=11*x^6+5*x^5+8*x^4+30*x^3+8*x^2+30*x+7", "y^2=40*x^6+37*x^5+27*x^4+30*x^3+6*x^2+39*x+23", "y^2=36*x^6+13*x^5+6*x^4+15*x^3+31*x^2+39*x+8", "y^2=25*x^6+40*x^5+11*x^4+13*x^3+16*x", "y^2=19*x^6+8*x^5+38*x^4+23*x^3+38*x^2+27*x", "y^2=35*x^5+30*x^4+24*x^3+4*x^2+29*x", "y^2=30*x^6+31*x^5+11*x^4+10*x^3+15*x^2+8*x+21", "y^2=19*x^6+6*x^5+36*x^4+13*x^3+40*x^2+14*x+3", "y^2=18*x^6+13*x^5+23*x^4+12*x^3+14*x^2+40*x+5", "y^2=4*x^6+17*x^5+40*x^4+26*x^3+17*x^2+7*x+10", "y^2=27*x^6+15*x^5+34*x^4+19*x^3+20*x^2+33*x+21", "y^2=37*x^5+4*x^4+41*x^3+38*x^2+16*x+35", "y^2=14*x^6+38*x^5+6*x^4+7*x^3+42*x+17", "y^2=19*x^6+20*x^4+13*x^3+27*x^2+9*x+34", "y^2=10*x^6+5*x^5+27*x^4+40*x^3+4*x^2+28*x+20", "y^2=41*x^6+15*x^5+30*x^4+31*x^3+12*x^2+15*x+8", "y^2=5*x^6+24*x^5+21*x^4+41*x^3+24*x^2+17*x+41", "y^2=21*x^6+29*x^5+x^4+35*x^3+13*x^2+10*x", "y^2=20*x^6+34*x^5+24*x^4+8*x^3+25*x^2+42*x+24", "y^2=22*x^6+30*x^5+31*x^4+10*x^3+33*x^2+28*x+5", "y^2=30*x^6+29*x^5+40*x^4+40*x^3+4*x^2+15*x+17", "y^2=x^6+29*x^5+39*x^4+18*x^3+42*x^2+42*x", "y^2=21*x^6+41*x^5+27*x^4+38*x^3+8*x^2+2*x+35", "y^2=41*x^5+21*x^4+30*x^3+33*x^2+13*x+34", "y^2=36*x^6+2*x^5+18*x^4+16*x^3+34*x^2+22*x+35", "y^2=11*x^6+19*x^5+4*x^4+36*x^3+7*x^2+3*x+16", "y^2=26*x^6+15*x^5+7*x^4+36*x^3+20*x^2+11*x+42", "y^2=40*x^6+18*x^5+19*x^4+28*x^3+34*x+17", "y^2=39*x^6+4*x^5+34*x^4+20*x^3+33*x^2+4*x+8", "y^2=7*x^6+34*x^5+22*x^4+24*x^3+17*x^2+38*x", "y^2=35*x^6+42*x^5+20*x^4+8*x^3+20*x^2+18*x+3", "y^2=10*x^6+21*x^5+38*x^4+21*x^3+20*x^2+36*x+33", "y^2=27*x^6+24*x^5+7*x^4+10*x^3+35*x^2+24*x+5", "y^2=39*x^6+33*x^5+28*x^4+4*x^3+15*x^2+19*x+29"], "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": 2, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": ["4T3"], "geometric_number_fields": ["4.0.172772057.1"], "geometric_splitting_field": "4.0.172772057.1", "geometric_splitting_polynomials": [[1849, -43, -26, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 44, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 44, "label": "2.43.b_aba", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["4.0.172772057.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 33]], "poly": [1, 1, -26, 43, 1849], "poly_str": "1 1 -26 43 1849 ", "primitive_models": [], "principal_polarization_count": 44, "q": 43, "real_poly": [1, 1, -112], "simple_distinct": ["2.43.b_aba"], "simple_factors": ["2.43.b_abaA"], "simple_multiplicities": [1], "singular_primes": ["2,V+1"], "size": 44, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.172772057.1", "splitting_polynomials": [[1849, -43, -26, -1, 1]], "twist_count": 2, "twists": [["2.43.ab_aba", "2.1849.acb_giy", 2]], "weak_equivalence_count": 2, "zfv_index": 2, "zfv_index_factorization": [[2, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 33, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3428, "zfv_singular_count": 2, "zfv_singular_primes": ["2,V+1"]}