# Stored data for abelian variety isogeny class 2.29.a_be, downloaded from the LMFDB on 09 December 2025.
{"abvar_count": 872, "abvar_counts": [872, 760384, 594774632, 501354628096, 420707250157352, 353756862870735424, 297558232697054684072, 250247277115750656000000, 210457284365143576005894632, 176994590334960754428759651904], "abvar_counts_str": "872 760384 594774632 501354628096 420707250157352 353756862870735424 297558232697054684072 250247277115750656000000 210457284365143576005894632 176994590334960754428759651904 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.336520527559747, 0.663479472440253], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 30, "curve_counts": [30, 902, 24390, 708846, 20511150, 594725942, 17249876310, 500248019038, 14507145975870, 420707267014502], "curve_counts_str": "30 902 24390 708846 20511150 594725942 17249876310 500248019038 14507145975870 420707267014502 ", "curves": ["y^2=18*x^6+20*x^5+20*x^4+16*x^3+20*x^2+20*x", "y^2=7*x^6+11*x^5+11*x^4+3*x^3+11*x^2+11*x", "y^2=16*x^6+25*x^5+8*x^4+15*x^3+23*x^2+13*x+9", "y^2=3*x^6+21*x^5+16*x^4+x^3+17*x^2+26*x+18", "y^2=25*x^6+7*x^5+5*x^4+17*x^3+x^2+16*x+14", "y^2=14*x^6+14*x^5+6*x^4+5*x^3+24*x^2+16*x+25", "y^2=28*x^6+28*x^5+12*x^4+10*x^3+19*x^2+3*x+21", "y^2=7*x^6+9*x^5+16*x^4+13*x^3+17*x^2+23*x+10", "y^2=26*x^6+17*x^5+14*x^4+6*x^3+24*x^2+11*x+9", "y^2=23*x^6+5*x^5+28*x^4+12*x^3+19*x^2+22*x+18", "y^2=10*x^6+14*x^5+9*x^4+25*x^3+2*x^2+10*x+20", "y^2=10*x^6+21*x^5+24*x^4+22*x^3+25*x^2+8*x+27", "y^2=8*x^6+23*x^5+16*x^4+27*x^3+28*x^2+27*x+6", "y^2=16*x^6+17*x^5+3*x^4+25*x^3+27*x^2+25*x+12", "y^2=26*x^6+9*x^5+20*x^4+11*x^3+x^2+x+9", "y^2=23*x^6+18*x^5+11*x^4+22*x^3+2*x^2+2*x+18", "y^2=25*x^6+14*x^5+8*x^4+14*x^3+5*x^2+10*x+21", "y^2=24*x^6+8*x^5+11*x^4+10*x^3+7*x^2+27*x+15", "y^2=5*x^6+8*x^5+4*x^4+25*x^3+2*x^2+27*x+1", "y^2=7*x^5+21*x^4+8*x^3+5*x^2+5*x", "y^2=16*x^6+5*x^5+21*x^4+25*x^3+28*x^2+8*x+4", "y^2=3*x^6+10*x^5+13*x^4+21*x^3+27*x^2+16*x+8", "y^2=21*x^6+7*x^5+5*x^3+25*x^2+28*x+26", "y^2=13*x^6+14*x^5+10*x^3+21*x^2+27*x+23", "y^2=28*x^6+26*x^5+8*x^4+5*x^3+2*x^2+19*x+24", "y^2=27*x^6+23*x^5+16*x^4+10*x^3+4*x^2+9*x+19", "y^2=7*x^6+28*x^5+4*x^4+2*x^3+21", "y^2=5*x^6+25*x^5+5*x^4+24*x^3+6*x^2+22*x+7", "y^2=10*x^6+21*x^5+10*x^4+19*x^3+12*x^2+15*x+14", "y^2=18*x^6+15*x^5+15*x^4+15*x^3+9*x^2+18*x+9", "y^2=7*x^6+x^5+x^4+x^3+18*x^2+7*x+18", "y^2=2*x^6+8*x^5+20*x^4+23*x^3+6*x^2+17*x+5", "y^2=9*x^6+19*x^5+24*x^4+28*x^3+23*x^2+3*x+15", "y^2=11*x^6+27*x^5+4*x^4+12*x^2+11*x+7", "y^2=27*x^6+18*x^5+25*x^4+x^3+21*x^2+27*x+18", "y^2=25*x^6+7*x^5+21*x^4+2*x^3+13*x^2+25*x+7", "y^2=12*x^6+6*x^5+6*x^4+26*x^3+26*x^2+22*x+23", "y^2=24*x^6+12*x^5+12*x^4+23*x^3+23*x^2+15*x+17", "y^2=27*x^6+11*x^5+20*x^4+11*x^3+8*x^2+23*x+22", "y^2=12*x^6+25*x^5+2*x^4+13*x^3+9*x^2+22*x+18", "y^2=24*x^6+13*x^5+15*x^4+26*x^3+24*x^2+25*x+19", "y^2=21*x^6+17*x^5+14*x^4+6*x^3+21*x^2+13*x", "y^2=25*x^6+7*x^5+5*x^4+11*x^3+4*x^2+7*x+12", "y^2=21*x^6+14*x^5+10*x^4+22*x^3+8*x^2+14*x+24"], "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": 4, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.616.1"], "geometric_splitting_field": "2.0.616.1", "geometric_splitting_polynomials": [[154, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 44, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 44, "label": "2.29.a_be", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.1517824.4"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 0, 30, 0, 841], "poly_str": "1 0 30 0 841 ", "primitive_models": [], "q": 29, "real_poly": [1, 0, -28], "simple_distinct": ["2.29.a_be"], "simple_factors": ["2.29.a_beA"], "simple_multiplicities": [1], "singular_primes": ["2,15*F+14*V+7"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.1517824.4", "splitting_polynomials": [[841, 0, 30, 0, 1]], "twist_count": 2, "twists": [["2.29.a_abe", "2.707281.cie_elhek", 4]], "weak_equivalence_count": 5, "zfv_index": 8, "zfv_index_factorization": [[2, 3]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 7744, "zfv_singular_count": 2, "zfv_singular_primes": ["2,15*F+14*V+7"]}