# Stored data for abelian variety isogeny class 2.29.ac_ch, downloaded from the LMFDB on 14 May 2026.
{"abvar_count": 841, "abvar_counts": [841, 808201, 599074576, 498033661225, 420540699253921, 353864016065007616, 297563723405757482521, 250245432242435560041225, 210457120251519476041150096, 176994596791493558216599746841], "abvar_counts_str": "841 808201 599074576 498033661225 420540699253921 353864016065007616 297563723405757482521 250245432242435560041225 210457120251519476041150096 176994596791493558216599746841 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.470403040322891, 0.470403040322891], "center_dim": 2, "curve_count": 28, "curve_counts": [28, 956, 24562, 704148, 20503028, 594906086, 17250194612, 500244331108, 14507134663258, 420707282361356], "curve_counts_str": "28 956 24562 704148 20503028 594906086 17250194612 500244331108 14507134663258 420707282361356 ", "curves": ["y^2=3*x^6+22*x^5+22*x^4+3*x^3+5*x^2+13*x+17", "y^2=3*x^6+8*x^5+6*x^4+2*x^3+4*x^2+5*x+10", "y^2=15*x^6+26*x^5+26*x^4+25*x^3+15*x^2+12*x+10", "y^2=22*x^6+16*x^5+22*x^4+x^3+x^2+12*x+23", "y^2=5*x^6+19*x^5+14*x^4+7*x^3+17*x^2+11*x+13", "y^2=22*x^6+23*x^5+18*x^4+12*x^3+10*x^2+13*x+15", "y^2=12*x^6+11*x^5+10*x^4+14*x^3+5*x^2+5*x+9", "y^2=20*x^6+2*x^5+16*x^4+13*x^2+2*x+9", "y^2=10*x^6+21*x^5+5*x^4+22*x^3+6*x^2+5*x+20", "y^2=13*x^6+23*x^5+16*x^4+21*x^3+23*x^2+20*x+9", "y^2=22*x^6+9*x^5+15*x^4+10*x^3+x^2+2*x+22"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["2T1"], "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.115.1"], "geometric_splitting_field": "2.0.115.1", "geometric_splitting_polynomials": [[29, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 11, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 11, "label": "2.29.ac_ch", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [29], "number_fields": ["2.0.115.1"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -2, 59, -58, 841], "poly_str": "1 -2 59 -58 841 ", "primitive_models": [], "q": 29, "real_poly": [1, -2, 1], "simple_distinct": ["1.29.ab"], "simple_factors": ["1.29.abA", "1.29.abB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.115.1", "splitting_polynomials": [[29, -1, 1]], "twist_count": 6, "twists": [["2.29.a_cf", "2.841.ek_hhr", 2], ["2.29.c_ch", "2.841.ek_hhr", 2], ["2.29.b_abc", "2.24389.gq_dfco", 3], ["2.29.a_acf", "2.707281.aeqo_imeyd", 4], ["2.29.ab_abc", "2.594823321.eslg_jkgsdvy", 6]]}