# Stored data for abelian variety isogeny class 2.29.aj_ce, downloaded from the LMFDB on 27 March 2026.
{"abvar_count": 628, "abvar_counts": [628, 733504, 594871744, 499736275200, 420895389603748, 353872391809601536, 297561162404407049188, 250246026099676776268800, 210457284365199247309004224, 176994581614645442463031799104], "abvar_counts_str": "628 733504 594871744 499736275200 420895389603748 353872391809601536 297561162404407049188 250246026099676776268800 210457284365199247309004224 176994581614645442463031799104 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.173080111598723, 0.506413444932056], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 21, "curve_counts": [21, 873, 24390, 706561, 20520321, 594920166, 17250046149, 500245518241, 14507145975870, 420707246286753], "curve_counts_str": "21 873 24390 706561 20520321 594920166 17250046149 500245518241 14507145975870 420707246286753 ", "curves": ["y^2=21*x^6+22*x^5+23*x^4+24*x^3+5*x^2+5*x+2", "y^2=3*x^6+24*x^5+15*x^4+22*x^3+28*x^2+6*x+16", "y^2=4*x^6+20*x^4+23*x^3+22*x^2+x+5", "y^2=x^6+21*x^5+4*x^4+26*x^3+14*x^2+3*x+4", "y^2=19*x^6+24*x^5+6*x^4+3*x^3+15*x^2+x+11", "y^2=11*x^6+14*x^5+9*x^4+26*x^3+20*x^2+24*x+6", "y^2=27*x^6+24*x^5+19*x^4+21*x^2+25*x+26", "y^2=19*x^6+5*x^5+6*x^4+13*x^3+23*x^2+4*x", "y^2=25*x^6+5*x^4+8*x^3+4*x^2+16*x+3", "y^2=4*x^6+20*x^5+19*x^4+18*x^3+28*x^2+23*x+2", "y^2=11*x^6+5*x^5+16*x^4+27*x^3+20*x^2+19*x+22", "y^2=18*x^6+21*x^5+5*x^4+9*x^3+9*x^2+24*x+14", "y^2=2*x^6+8*x^5+25*x^4+23*x^3+20*x^2+10*x+5", "y^2=19*x^6+22*x^5+15*x^4+12*x^3+x^2+22*x+19", "y^2=4*x^6+x^5+17*x^4+11*x^3+14*x^2+23*x+4", "y^2=11*x^6+20*x^5+8*x^4+10*x^3+9*x^2+27*x+22", "y^2=6*x^6+28*x^5+15*x^4+x^3+9*x^2+25*x+3", "y^2=14*x^6+x^5+4*x^4+27*x^3+25*x^2+19*x+21", "y^2=12*x^6+19*x^5+13*x^4+14*x^3+18*x^2+15*x+10", "y^2=14*x^6+26*x^5+27*x^4+22*x^3+15*x^2+6*x+26", "y^2=11*x^6+17*x^5+11*x^4+2*x^3+x^2+6*x+26", "y^2=14*x^6+27*x^5+11*x^4+7*x^3+15*x^2+17*x+17", "y^2=25*x^6+22*x^5+17*x^4+17*x^3+4*x^2+27*x+10", "y^2=17*x^6+4*x^5+17*x^4+18*x^3+6*x^2+5*x+14"], "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": 6, "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": 6, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.267.1"], "geometric_splitting_field": "2.0.267.1", "geometric_splitting_polynomials": [[67, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 24, "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": 24, "label": "2.29.aj_ce", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.71289.1"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 2], [1, 7, 1, 6], [1, 67, 1, 2]], "poly": [1, -9, 56, -261, 841], "poly_str": "1 -9 56 -261 841 ", "primitive_models": [], "principal_polarization_count": 24, "q": 29, "real_poly": [1, -9, -2], "simple_distinct": ["2.29.aj_ce"], "simple_factors": ["2.29.aj_ceA"], "simple_multiplicities": [1], "singular_primes": ["2,3*F+1", "5,7*F+3*V-25"], "size": 24, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.71289.1", "splitting_polynomials": [[484, 22, 23, -1, 1]], "twist_count": 4, "twists": [["2.29.j_ce", "2.841.bf_eq", 2], ["2.29.a_abf", "2.24389.a_ctqk", 3], ["2.29.j_ce", "2.24389.a_ctqk", 3], ["2.29.a_bf", "2.353814783205469041.ahmleeho_vkhkeknrfcovm", 12]], "weak_equivalence_count": 6, "zfv_index": 20, "zfv_index_factorization": [[2, 2], [5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 12, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 3600, "zfv_singular_count": 4, "zfv_singular_primes": ["2,3*F+1", "5,7*F+3*V-25"]}