# Stored data for abelian variety isogeny class 2.23.ae_s, downloaded from the LMFDB on 17 April 2026.
{"abvar_count": 452, "abvar_counts": [452, 291088, 146535236, 78561158144, 41489340822532, 21914769495984400, 11592754519203687428, 6132634843401255010304, 3244144803035495119355204, 1716154923849774241003398928], "abvar_counts_str": "452 291088 146535236 78561158144 41489340822532 21914769495984400 11592754519203687428 6132634843401255010304 3244144803035495119355204 1716154923849774241003398928 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.205742333896823, 0.624507463455659], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 20, "curve_counts": [20, 550, 12044, 280734, 6446100, 148036870, 3404801420, 78311297214, 1801149270932, 41426489307750], "curve_counts_str": "20 550 12044 280734 6446100 148036870 3404801420 78311297214 1801149270932 41426489307750 ", "curves": ["y^2=19*x^6+7*x^5+17*x^4+x^3+3*x^2+3*x+5", "y^2=12*x^6+8*x^5+13*x^4+7*x^3+16*x^2+4*x+8", "y^2=3*x^6+20*x^5+6*x^4+3*x^3+4*x^2+12*x+17", "y^2=17*x^6+11*x^5+3*x^4+4*x^3+20*x^2+10*x+15", "y^2=11*x^6+7*x^5+16*x^4+19*x^3+3*x^2+17*x+5", "y^2=9*x^6+21*x^5+20*x^4+16*x^3+17*x+18", "y^2=10*x^6+3*x^5+15*x^4+18*x^3+22*x^2+9*x+3", "y^2=22*x^6+19*x^5+20*x^4+17*x^3+8*x^2+16*x+18", "y^2=12*x^6+11*x^5+9*x^4+13*x^3+22*x^2+18*x+15", "y^2=19*x^6+2*x^5+16*x^4+11*x^3+22*x^2+14*x+14", "y^2=13*x^6+6*x^5+4*x^4+6*x^3+20*x^2+14*x+20", "y^2=17*x^6+10*x^5+7*x^4+7*x^3+21*x^2+11*x+8", "y^2=2*x^6+12*x^5+9*x^4+6*x^3+6*x^2+3*x+6", "y^2=7*x^6+16*x^5+18*x^4+18*x^3+2*x^2+4*x+9", "y^2=21*x^6+4*x^5+5*x^4+4*x^3+22*x^2+17*x+4", "y^2=21*x^6+5*x^5+3*x^4+13*x^3+17*x^2+x", "y^2=12*x^5+17*x^4+4*x^3+18*x^2+13*x+17", "y^2=22*x^6+x^5+22*x^4+18*x^3+2*x^2+9*x+11", "y^2=20*x^6+3*x^5+20*x^4+5*x^3+14*x^2+3*x+3", "y^2=6*x^6+11*x^5+13*x^4+3*x^3+12*x^2+13*x+20", "y^2=5*x^6+22*x^5+2*x^4+9*x^3+2*x^2+17", "y^2=19*x^6+16*x^5+22*x^4+16*x^3+20*x^2+x+5", "y^2=10*x^6+18*x^5+18*x^4+9*x^3+16*x^2+22*x+6", "y^2=21*x^6+6*x^5+17*x^4+12*x^3+18*x^2+15*x+14", "y^2=4*x^6+16*x^5+2*x^3+19*x^2+11*x+14", "y^2=2*x^6+17*x^5+20*x^4+10*x^3+12*x^2+11*x+17", "y^2=18*x^6+21*x^5+7*x^4+9*x^3+13*x^2+16*x+12", "y^2=x^6+13*x^5+20*x^4+9*x^3+10*x^2+3*x+20", "y^2=22*x^6+13*x^5+22*x^4+x^3+8*x^2+7*x+14", "y^2=16*x^6+6*x^5+14*x^4+10*x^3+5*x^2+8*x+6", "y^2=12*x^6+16*x^5+13*x^4+21*x^3+18*x^2+2*x+7", "y^2=20*x^6+x^4+x^3+22*x^2+3*x+19", "y^2=11*x^5+8*x^4+10*x^3+2*x^2+19*x+7", "y^2=22*x^6+10*x^5+15*x^4+9*x^3+2*x^2+2*x+7", "y^2=3*x^6+x^5+7*x^4+17*x^3+14*x^2+20*x+20", "y^2=13*x^6+4*x^5+21*x^4+15*x^3+10*x^2+15*x+13", "y^2=22*x^6+20*x^5+12*x^4+11*x^3+13*x^2+18*x+22", "y^2=x^6+15*x^5+22*x^4+6*x^3+15*x^2+4*x+6", "y^2=14*x^6+6*x^5+16*x^3+14*x^2+19*x+20", "y^2=22*x^6+9*x^5+8*x^4+12*x^3+12*x^2+4*x+22", "y^2=15*x^6+2*x^5+13*x^4+10*x^3+20*x^2+17*x+20", "y^2=21*x^6+15*x^5+8*x^4+18*x^3+17*x^2+6*x+22", "y^2=11*x^6+3*x^5+6*x^4+19*x^3+7*x^2+14*x+5", "y^2=13*x^6+11*x^5+8*x^4+8*x^3+13*x^2+9*x+9", "y^2=16*x^6+17*x^5+13*x^4+19*x^3+10*x^2+6*x+14", "y^2=6*x^6+10*x^5+3*x^4+5*x^3+19*x^2+4", "y^2=15*x^6+x^5+3*x^4+22*x^3+2*x^2+2*x+1", "y^2=14*x^6+14*x^5+6*x^4+11*x^3+20*x^2+19*x+5", "y^2=13*x^6+3*x^5+11*x^4+17*x^3+21*x^2+17*x+10", "y^2=22*x^6+2*x^5+20*x^4+5*x^3+12*x^2+21*x+8", "y^2=2*x^6+3*x^5+19*x^4+x^3+14*x^2+16*x+21", "y^2=14*x^6+16*x^5+7*x^4+14*x^3+7*x", "y^2=10*x^6+16*x^5+4*x^4+21*x^3+21*x^2+11*x+7", "y^2=10*x^6+12*x^4+21*x^3+16*x^2+22*x+13", "y^2=14*x^6+20*x^5+4*x^4+5*x^3+21*x+22", "y^2=6*x^6+18*x^5+13*x^4+4*x^3+12*x^2+12*x+21", "y^2=11*x^6+4*x^5+2*x^4+4*x^3+15*x^2+5", "y^2=x^6+15*x^5+13*x^4+11*x^3+18*x^2+9", "y^2=15*x^6+x^5+6*x^4+9*x^3+17*x^2+6*x+1", "y^2=5*x^6+12*x^5+16*x^4+18*x^3+17*x^2+17*x+19", "y^2=20*x^6+12*x^4+6*x^3+x^2+10*x+11", "y^2=12*x^6+18*x^5+12*x^4+2*x^3+10*x^2+21*x+1"], "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": 7, "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": ["4.0.10496.2"], "geometric_splitting_field": "4.0.10496.2", "geometric_splitting_polynomials": [[14, -4, 6, 0, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 62, "is_cyclic": false, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 62, "label": "2.23.ae_s", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.10496.2"], "p": 23, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 18, -92, 529], "poly_str": "1 -4 18 -92 529 ", "primitive_models": [], "q": 23, "real_poly": [1, -4, -28], "simple_distinct": ["2.23.ae_s"], "simple_factors": ["2.23.ae_sA"], "simple_multiplicities": [1], "singular_primes": ["2,-F+1"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.10496.2", "splitting_polynomials": [[14, -4, 6, 0, 1]], "twist_count": 2, "twists": [["2.23.e_s", "2.529.u_yw", 2]], "weak_equivalence_count": 7, "zfv_index": 64, "zfv_index_factorization": [[2, 6]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 4, "zfv_plus_index_factorization": [[2, 2]], "zfv_plus_norm": 2624, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-F+1"]}