# Stored data for abelian variety isogeny class 2.23.i_bu, downloaded from the LMFDB on 11 March 2026.
{"abvar_count": 768, "abvar_counts": [768, 294912, 147573504, 78220099584, 41394651310848, 21921593034571776, 11592604884933747456, 6132568225312722124800, 3244153424380012100825856, 1716155882001959451128266752], "abvar_counts_str": "768 294912 147573504 78220099584 41394651310848 21921593034571776 11592604884933747456 6132568225312722124800 3244153424380012100825856 1716155882001959451128266752 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.5, 0.813988011405393], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 32, "curve_counts": [32, 558, 12128, 279518, 6431392, 148082958, 3404757472, 78310446526, 1801154057504, 41426512436718], "curve_counts_str": "32 558 12128 279518 6431392 148082958 3404757472 78310446526 1801154057504 41426512436718 ", "curves": ["y^2=10*x^6+21*x^5+12*x^4+3*x^3+x^2+15*x+11", "y^2=16*x^6+16*x^5+10*x^3+16*x+16", "y^2=13*x^6+19*x^5+x^4+15*x^3+21*x^2+20*x+3", "y^2=16*x^6+18*x^5+4*x^4+9*x^3+13*x^2+9*x+3", "y^2=10*x^5+3*x^4+8*x^3+3*x^2+10*x", "y^2=22*x^6+16*x^5+2*x^3+2*x+21", "y^2=2*x^6+21*x^5+21*x^4+3*x^3+21*x^2+21*x+2", "y^2=18*x^6+20*x^5+x^4+3*x^3+17*x^2+18*x+18", "y^2=x^6+19*x^5+6*x^4+x^3+9*x^2+18*x+2", "y^2=6*x^6+10*x^5+11*x^4+22*x^3+20*x^2+9*x+14", "y^2=11*x^6+9*x^4+9*x^3+17*x^2+x+9", "y^2=8*x^6+9*x^5+2*x^4+13*x^3+13*x^2+3*x+4", "y^2=15*x^6+21*x^5+6*x^4+13*x^3+12*x^2+15*x+5", "y^2=18*x^6+7*x^4+5*x^3+7*x^2+18", "y^2=16*x^6+14*x^5+20*x^4+8*x^3+3*x^2+19*x+13", "y^2=20*x^6+7*x^5+5*x^4+15*x^3+14*x^2+19*x+14", "y^2=16*x^6+3*x^5+3*x^4+11*x^3+3*x^2+3*x+16", "y^2=6*x^6+5*x^5+4*x^4+6*x^3+10*x^2+3*x+2", "y^2=4*x^6+8*x^5+2*x^4+16*x^3+12*x^2+13*x+11", "y^2=22*x^6+10*x^5+2*x^4+10*x^2+3*x+19", "y^2=8*x^6+12*x^5+7*x^4+8*x^3+17*x+21", "y^2=6*x^6+22*x^5+7*x^4+4*x^3+x^2+3*x+4", "y^2=16*x^6+12*x^5+14*x^4+x^3+8*x^2+17*x", "y^2=10*x^6+8*x^5+22*x^4+14*x^3+21*x^2+14*x+8", "y^2=8*x^6+5*x^5+3*x^4+20*x^3+5*x^2+6", "y^2=3*x^6+11*x^5+11*x^4+x^3+6*x^2+15", "y^2=19*x^6+21*x^5+9*x^4+2*x^3+13*x^2+14*x+20", "y^2=8*x^6+2*x^5+7*x^4+5*x^3+7*x^2+2*x+8", "y^2=9*x^6+8*x^5+x^4+9*x^3+5*x^2+6*x+14", "y^2=16*x^6+15*x^5+4*x^4+2*x^3+8*x^2+5*x+4", "y^2=13*x^6+7*x^5+22*x^4+19*x^2+22*x+15", "y^2=18*x^6+7*x^5+12*x^4+x^3+18*x^2+x", "y^2=17*x^6+17*x^5+x^4+9*x^3+5*x^2+13*x+2", "y^2=13*x^6+4*x^5+7*x^4+16*x^3+7*x^2+4*x+13", "y^2=18*x^6+2*x^5+9*x^4+12*x^3+9*x^2+2*x+18", "y^2=11*x^6+4*x^5+19*x^4+x^3+7*x^2+11*x+15", "y^2=4*x^6+10*x^5+2*x^4+18*x^3+13*x+2", "y^2=2*x^6+6*x^5+8*x^4+9*x^3+4*x^2+11*x+1", "y^2=9*x^6+x^5+5*x^4+x^3+21*x^2+2*x+2", "y^2=17*x^6+2*x^5+13*x^4+2*x^3+13*x^2+2*x+17", "y^2=3*x^6+3*x^5+3*x^4+14*x^3+x^2+8*x+18", "y^2=4*x^6+22*x^5+8*x^4+22*x^3+8*x^2+22*x+4", "y^2=3*x^6+16*x^5+22*x^4+3*x^3+2*x^2+10*x+13", "y^2=4*x^6+22*x^5+2*x^4+2*x^3+10*x^2+7*x+5", "y^2=2*x^6+19*x^5+14*x^4+x^3+11*x^2+20*x+15", "y^2=17*x^6+x^5+18*x^3+21*x^2+x+21", "y^2=18*x^6+8*x^5+x^4+4*x^3+x^2+12*x+4", "y^2=x^5+21*x^4+21*x^3+17*x^2+9*x", "y^2=10*x^6+5*x^5+13*x^4+19*x^3+13*x^2+5*x+10", "y^2=8*x^6+18*x^5+4*x^4+7*x^3+4*x^2+18*x+8", "y^2=6*x^6+10*x^5+16*x^4+6*x^3+16*x^2+10*x+6", "y^2=13*x^6+17*x^5+3*x^4+7*x^3+16*x^2+15*x+8", "y^2=4*x^6+22*x^5+18*x^3+21*x+6", "y^2=13*x^6+21*x^5+16*x^4+x^3+16*x^2+21*x+13"], "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": 41, "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": 3, "geometric_extension_degree": 2, "geometric_galois_groups": ["1T1", "2T1"], "geometric_number_fields": ["1.1.1.1", "2.0.7.1"], "geometric_splitting_field": "2.0.7.1", "geometric_splitting_polynomials": [[2, -1, 1]], "group_structure_count": 11, "has_geom_ss_factor": true, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 54, "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": 54, "label": "2.23.i_bu", "max_divalg_dim": 1, "max_geom_divalg_dim": 4, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 1, "noncyclic_primes": [2], "number_fields": ["2.0.23.1", "2.0.7.1"], "p": 23, "p_rank": 1, "p_rank_deficit": 1, "poly": [1, 8, 46, 184, 529], "poly_str": "1 8 46 184 529 ", "primitive_models": [], "q": 23, "real_poly": [1, 8], "simple_distinct": ["1.23.a", "1.23.i"], "simple_factors": ["1.23.aA", "1.23.iA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,-7*F-1"], "slopes": ["0A", "1/2A", "1/2B", "1A"], "splitting_field": "4.0.25921.1", "splitting_polynomials": [[16, 0, 15, 0, 1]], "twist_count": 2, "twists": [["2.23.ai_bu", "2.529.bc_iw", 2]], "weak_equivalence_count": 79, "zfv_index": 256, "zfv_index_factorization": [[2, 8]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2576, "zfv_singular_count": 2, "zfv_singular_primes": ["2,-7*F-1"]}