# Stored data for abelian variety isogeny class 2.43.au_ha, downloaded from the LMFDB on 09 February 2026.
{"abvar_count": 1152, "abvar_counts": [1152, 3354624, 6348461184, 11700338098176, 21613702474184832, 39959727057518800896, 73885351630005007175808, 136614063527221825329168384, 252599360552098134228397800576, 467056177260135300745297112346624], "abvar_counts_str": "1152 3354624 6348461184 11700338098176 21613702474184832 39959727057518800896 73885351630005007175808 136614063527221825329168384 252599360552098134228397800576 467056177260135300745297112346624 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.132197172840034, 0.291171725172361], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 24, "curve_counts": [24, 1814, 79848, 3422350, 147023544, 6321378278, 271818590088, 11688203511454, 502592665615704, 21611482752066614], "curve_counts_str": "24 1814 79848 3422350 147023544 6321378278 271818590088 11688203511454 502592665615704 21611482752066614 ", "curves": ["y^2=26*x^6+5*x^5+8*x^4+9*x^3+31*x^2+33*x+13", "y^2=28*x^6+9*x^4+34*x^3+10*x^2+14*x+26", "y^2=8*x^5+6*x^4+24*x^3+4*x^2+37*x", "y^2=3*x^6+3*x^5+34*x^4+2*x^3+22*x^2+2*x+19", "y^2=30*x^6+x^5+5*x^4+19*x^3+5*x^2+x+30", "y^2=7*x^6+20*x^5+20*x^4+17*x^3+20*x^2+20*x+7", "y^2=17*x^6+5*x^5+31*x^4+21*x^3+31*x^2+5*x+17", "y^2=29*x^6+10*x^5+33*x^4+36*x^3+33*x^2+10*x+29", "y^2=31*x^6+25*x^5+21*x^4+13*x^3+4*x^2+9*x+38", "y^2=27*x^6+30*x^5+27*x^4+29*x^3+33*x^2+5*x+27", "y^2=41*x^6+x^5+10*x^4+31*x^3+10*x^2+x+41", "y^2=8*x^5+31*x^4+8*x^3+21*x^2+3*x", "y^2=24*x^6+2*x^5+8*x^4+26*x^3+20*x^2+34*x+31", "y^2=37*x^6+27*x^5+17*x^4+29*x^3+4*x^2+37*x+12", "y^2=40*x^6+28*x^5+30*x^4+7*x^3+30*x^2+28*x+40", "y^2=7*x^6+3*x^5+26*x^4+34*x^3+26*x^2+3*x+7", "y^2=8*x^6+21*x^5+26*x^4+20*x^3+10*x^2+29*x+34", "y^2=5*x^6+16*x^5+5*x^4+40*x^3+5*x^2+16*x+5", "y^2=26*x^6+22*x^5+38*x^4+36*x^3+38*x^2+22*x+26", "y^2=30*x^6+6*x^5+29*x^4+16*x^3+26*x^2+15*x+33", "y^2=12*x^6+40*x^5+38*x^4+4*x^3+10*x^2+30*x+42", "y^2=42*x^6+21*x^5+25*x^3+21*x+42", "y^2=19*x^6+19*x^5+29*x^4+6*x^3+39*x^2+38*x+22", "y^2=14*x^5+3*x^4+40*x^3+42*x^2+30*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": 28, "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": ["2.0.7.1", "2.0.3.1"], "geometric_splitting_field": "4.0.441.1", "geometric_splitting_polynomials": [[4, -2, -1, -1, 1]], "group_structure_count": 14, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "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": 24, "label": "2.43.au_ha", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 3], "number_fields": ["2.0.7.1", "2.0.3.1"], "p": 43, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -20, 182, -860, 1849], "poly_str": "1 -20 182 -860 1849 ", "primitive_models": [], "q": 43, "real_poly": [1, -20, 96], "simple_distinct": ["1.43.am", "1.43.ai"], "simple_factors": ["1.43.amA", "1.43.aiA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,3*F+1", "3,4*F+8*V-84"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.441.1", "splitting_polynomials": [[4, -2, -1, -1, 1]], "twist_count": 12, "twists": [["2.43.ae_ak", "2.1849.abk_dpe", 2], ["2.43.e_ak", "2.1849.abk_dpe", 2], ["2.43.u_ha", "2.1849.abk_dpe", 2], ["2.43.ar_fq", "2.79507.nc_dsty", 3], ["2.43.b_acs", "2.79507.nc_dsty", 3], ["2.43.az_ji", "2.6321363049.wns_aesxoylm", 6], ["2.43.ah_ba", "2.6321363049.wns_aesxoylm", 6], ["2.43.ab_acs", "2.6321363049.wns_aesxoylm", 6], ["2.43.h_ba", "2.6321363049.wns_aesxoylm", 6], ["2.43.r_fq", "2.6321363049.wns_aesxoylm", 6], ["2.43.z_ji", "2.6321363049.wns_aesxoylm", 6]], "weak_equivalence_count": 48, "zfv_index": 192, "zfv_index_factorization": [[2, 6], [3, 1]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3024, "zfv_singular_count": 4, "zfv_singular_primes": ["2,3*F+1", "3,4*F+8*V-84"]}