# Stored data for abelian variety isogeny class 2.29.ae_bu, downloaded from the LMFDB on 16 December 2025.
{"abvar_count": 768, "abvar_counts": [768, 774144, 598235904, 500220887040, 420822042440448, 353800724199100416, 297550058463774198528, 250246409231603214581760, 210457485070742705757905664, 176994587162901517298840162304], "abvar_counts_str": "768 774144 598235904 500220887040 420822042440448 353800724199100416 297550058463774198528 250246409231603214581760 210457485070742705757905664 176994587162901517298840162304 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.311919362152108, 0.559453748998352], "center_dim": 4, "cohen_macaulay_max": 3, "curve_count": 26, "curve_counts": [26, 918, 24530, 707246, 20516746, 594799686, 17249402434, 500246284126, 14507159810810, 420707259474678], "curve_counts_str": "26 918 24530 707246 20516746 594799686 17249402434 500246284126 14507159810810 420707259474678 ", "curves": ["y^2=6*x^6+11*x^5+11*x^3+11*x+6", "y^2=3*x^6+5*x^5+9*x^4+7*x^3+6*x^2+15*x+7", "y^2=19*x^6+3*x^5+13*x^4+5*x^3+18*x^2+x+5", "y^2=5*x^6+19*x^5+12*x^4+13*x^3+8*x^2+2*x+9", "y^2=25*x^6+19*x^5+17*x^4+14*x^3+11*x^2+13*x+18", "y^2=2*x^6+26*x^5+19*x^4+12*x^3+10*x^2+26*x+27", "y^2=7*x^6+26*x^5+27*x^4+17*x^3+27*x^2+26*x+7", "y^2=25*x^6+x^5+2*x^4+28*x^3+16*x^2+17*x+9", "y^2=x^6+5*x^5+3*x^4+3*x^3+11*x^2+7*x+11", "y^2=8*x^6+8*x^5+25*x^4+17*x^3+25*x^2+8*x+8", "y^2=15*x^6+17*x^5+28*x^4+5*x^3+8*x^2+21*x+4", "y^2=13*x^6+12*x^5+25*x^4+28*x^3+6*x^2+27*x+25", "y^2=13*x^6+9*x^5+25*x^4+18*x^3+23*x+27", "y^2=22*x^6+20*x^5+24*x^4+x^3+4*x^2+3*x+13", "y^2=17*x^6+25*x^5+21*x^4+12*x^3+15*x^2+5*x+3", "y^2=27*x^6+26*x^5+23*x^4+17*x^3+7*x^2+11*x+8", "y^2=12*x^6+25*x^5+12*x^4+5*x^3+14*x^2+x+11", "y^2=7*x^6+11*x^5+8*x^4+28*x^3+13*x^2+8*x+27", "y^2=12*x^6+3*x^5+2*x^4+2*x^3+17*x^2+x", "y^2=19*x^6+14*x^5+26*x^4+26*x^3+26*x^2+14*x+19", "y^2=20*x^5+4*x^4+13*x^3+24*x^2+x+22", "y^2=26*x^5+3*x^4+13*x^3+17*x^2+7*x+22", "y^2=26*x^6+2*x^5+11*x^4+4*x^3+6*x^2+3*x+22", "y^2=5*x^6+2*x^5+9*x^4+22*x^3+6*x^2+8*x+14", "y^2=17*x^6+x^5+10*x^4+27*x^3+7*x^2+7*x+1", "y^2=7*x^6+11*x^5+28*x^4+14*x^3+3*x^2+24*x+21", "y^2=18*x^6+15*x^5+9*x^4+3*x^3+9*x^2+7", "y^2=x^5+16*x^4+12*x^3+3*x^2+3*x+25", "y^2=3*x^6+8*x^5+8*x^4+3*x^3+8*x^2+8*x+3", "y^2=24*x^6+x^5+27*x^4+19*x^3+22*x^2+7*x+9", "y^2=22*x^6+10*x^5+x^4+4*x^3+25*x^2+15*x+13", "y^2=26*x^6+9*x^5+18*x^4+10*x^3+x^2+17*x+9", "y^2=22*x^6+19*x^5+25*x^4+25*x^3+25*x^2+19*x+22", "y^2=7*x^5+26*x^4+15*x^3+13*x^2+x+2", "y^2=3*x^6+18*x^5+17*x^4+14*x^3+23*x^2+18*x+12", "y^2=4*x^6+2*x^5+11*x^4+23*x^3+10*x^2+11*x+18", "y^2=21*x^6+4*x^5+11*x^4+8*x^3+11*x^2+4*x+21", "y^2=24*x^5+9*x^4+x^3+5*x^2+x+5", "y^2=27*x^6+27*x^5+11*x^4+22*x^3+19*x^2+18*x+10", "y^2=8*x^6+22*x^5+28*x^4+6*x^3+23*x^2+11*x+12", "y^2=24*x^6+x^5+x^4+21*x^3+19*x+13", "y^2=9*x^6+7*x^5+9*x^4+4*x^3+9*x^2+7*x+9", "y^2=12*x^6+x^5+13*x^4+11*x^3+13*x^2+x+12", "y^2=7*x^6+11*x^5+14*x^4+5*x^3+13*x^2+17*x+9", "y^2=14*x^6+14*x^5+5*x^4+10*x^3+7*x^2+23*x+27", "y^2=4*x^6+13*x^5+23*x^4+8*x^3+2*x^2+7*x+13", "y^2=27*x^6+2*x^5+2*x^4+2*x^3+23*x^2+10*x+23", "y^2=12*x^6+5*x^5+13*x^3+9*x+8", "y^2=13*x^6+23*x^5+19*x^3+23*x+13", "y^2=21*x^6+6*x^5+14*x^4+28*x^3+17*x^2+21*x+22", "y^2=28*x^5+14*x^4+18*x^3+17*x^2+4*x", "y^2=21*x^6+21*x^5+19*x^4+2*x^3+19*x^2+21*x+21", "y^2=7*x^6+27*x^5+7*x^4+6*x^3+10*x^2+24*x+9", "y^2=27*x^6+24*x^5+2*x^4+7*x^3+8*x^2+24*x+18", "y^2=20*x^6+6*x^5+12*x^4+2*x^3+22*x^2+6*x+4", "y^2=25*x^6+9*x^5+13*x^4+20*x^3+13*x^2+9*x+25", "y^2=2*x^6+7*x^5+4*x^4+2*x^3+4*x^2+7*x+2", "y^2=26*x^6+15*x^4+11*x^3+10*x^2+12", "y^2=12*x^6+23*x^5+15*x^4+8*x^3+8*x^2+x+26", "y^2=8*x^6+21*x^5+10*x^4+21*x^3+2*x+22", "y^2=2*x^6+23*x^5+27*x^4+9*x^3+7*x^2+10", "y^2=17*x^6+26*x^5+20*x^4+25*x^3+2*x^2+10*x+28", "y^2=4*x^6+7*x^5+18*x^4+24*x^3+3*x^2+x+7", "y^2=23*x^6+26*x^5+20*x^4+10*x^3+20*x^2+26*x+23", "y^2=2*x^6+28*x^5+15*x^4+23*x^3+15*x^2+28*x+2", "y^2=27*x^6+21*x^5+3*x^4+9*x^3+9*x^2+12*x+10", "y^2=22*x^6+9*x^5+27*x^4+4*x^2+25*x+13", "y^2=28*x^6+19*x^5+14*x^4+10*x^3+9*x^2+26*x+11", "y^2=7*x^6+19*x^5+14*x^4+19*x^3+5*x^2+2*x+12", "y^2=22*x^6+7*x^5+27*x^4+23*x^3+17*x^2+9*x+14", "y^2=x^6+26*x^5+28*x^4+10*x^3+13*x+12", "y^2=25*x^6+9*x^5+7*x^4+7*x^3+3*x^2+25*x+26", "y^2=10*x^6+13*x^5+17*x^4+8*x^3+27*x^2+6*x+3", "y^2=2*x^5+13*x^4+17*x^3+13*x^2+2*x", "y^2=20*x^6+17*x^5+26*x^4+19*x^3+10*x^2+7*x+24", "y^2=3*x^6+13*x^5+18*x^4+28*x^3+26*x^2+4*x+1", "y^2=14*x^6+22*x^5+12*x^4+23*x^3+17*x^2+19*x+6", "y^2=13*x^6+26*x^5+12*x^4+16*x^3+14*x^2+3*x+25", "y^2=2*x^6+23*x^5+28*x^4+17*x^2+20*x+11", "y^2=2*x^6+8*x^5+22*x^4+18*x^3+22*x^2+8*x+2", "y^2=27*x^6+26*x^5+21*x^4+19*x^3+10*x^2+13*x+25", "y^2=12*x^6+23*x^5+19*x^4+21*x^3+3*x^2+7*x+10", "y^2=12*x^6+10*x^5+x^3+10*x+12", "y^2=4*x^6+8*x^5+15*x^4+20*x^3+15*x^2+8*x+4", "y^2=16*x^5+19*x^4+4*x^3+19*x^2+16*x", "y^2=21*x^6+x^5+21*x^4+17*x^3+21*x^2+22*x+24", "y^2=5*x^6+6*x^5+23*x^4+25*x^3+23*x^2+6*x+5", "y^2=2*x^6+22*x^5+5*x^4+15*x^3+5*x^2+22*x+2", "y^2=2*x^6+3*x^5+2*x^4+2*x^3+18*x^2+16*x+21", "y^2=21*x^6+26*x^5+9*x^4+5*x^3+9*x^2+26*x+21", "y^2=5*x^6+16*x^5+19*x^4+27*x^3+20*x^2+5*x+6", "y^2=22*x^6+17*x^5+12*x^4+26*x^3+8*x^2+10*x+25", "y^2=18*x^6+10*x^5+17*x^4+16*x^3+3*x^2+8*x+4", "y^2=17*x^5+6*x^3+21*x^2+2*x+11", "y^2=19*x^6+11*x^5+14*x^4+25*x^3+16*x^2+27*x+2", "y^2=3*x^6+24*x^5+4*x^4+18*x^3+2*x^2+10*x+4", "y^2=22*x^6+27*x^5+26*x^4+14*x^3+19*x^2+28*x+2", "y^2=10*x^6+24*x^3+8*x^2+16*x+17", "y^2=17*x^6+19*x^5+14*x^4+3*x^3+14*x^2+19*x+17", "y^2=21*x^5+13*x^4+19*x^3+28*x^2+19*x", "y^2=26*x^6+14*x^5+26*x^4+4*x^3+19*x^2+17*x+21", "y^2=15*x^6+22*x^5+24*x^4+12*x^3+9*x^2+4*x+3", "y^2=7*x^6+23*x^5+10*x^4+19*x^3+2*x^2+20*x", "y^2=6*x^5+17*x^3+19*x^2+4*x+26"], "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": 36, "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": ["2.0.20.1", "2.0.7.1"], "geometric_splitting_field": "4.0.19600.3", "geometric_splitting_polynomials": [[14, -14, 15, -2, 1]], "group_structure_count": 14, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 104, "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": 104, "label": "2.29.ae_bu", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.20.1", "2.0.7.1"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -4, 46, -116, 841], "poly_str": "1 -4 46 -116 841 ", "primitive_models": [], "q": 29, "real_poly": [1, -4, -12], "simple_distinct": ["1.29.ag", "1.29.c"], "simple_factors": ["1.29.agA", "1.29.cA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,5*F-5"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.19600.3", "splitting_polynomials": [[14, -14, 15, -2, 1]], "twist_count": 4, "twists": [["2.29.ai_cs", "2.841.cy_egk", 2], ["2.29.e_bu", "2.841.cy_egk", 2], ["2.29.i_cs", "2.841.cy_egk", 2]], "weak_equivalence_count": 76, "zfv_index": 512, "zfv_index_factorization": [[2, 9]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 8960, "zfv_singular_count": 2, "zfv_singular_primes": ["2,5*F-5"]}