# Stored data for abelian variety isogeny class 2.29.j_ca, downloaded from the LMFDB on 11 July 2026.
{"abvar_count": 1164, "abvar_counts": [1164, 726336, 597509136, 499431538944, 420526566680124, 353869346072825856, 297555520329972582204, 250246431082371550454784, 210457174297932234983123856, 176994591553801150400228832576], "abvar_counts_str": "1164 726336 597509136 499431538944 420526566680124 353869346072825856 297555520329972582204 250246431082371550454784 210457174297932234983123856 176994591553801150400228832576 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.48156329533333, 0.851770038000004], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 39, "curve_counts": [39, 865, 24498, 706129, 20502339, 594915046, 17249719071, 500246327809, 14507138388762, 420707269911625], "curve_counts_str": "39 865 24498 706129 20502339 594915046 17249719071 500246327809 14507138388762 420707269911625 ", "curves": ["y^2=15*x^6+19*x^5+24*x^4+26*x^3+8*x^2+19*x+28", "y^2=4*x^6+18*x^5+19*x^4+6*x^3+8*x^2+24*x+14", "y^2=28*x^6+9*x^5+16*x^4+25*x^3+23*x^2+26*x+26", "y^2=24*x^6+20*x^5+24*x^4+3*x^3+5*x^2+3*x+1", "y^2=27*x^6+20*x^5+6*x^4+13*x^3+4*x^2+23*x+10", "y^2=14*x^6+7*x^5+19*x^4+13*x^3+4*x^2+2*x+22", "y^2=x^6+x^5+19*x^4+21*x^3+14*x^2+6*x+19", "y^2=22*x^6+14*x^5+26*x^4+28*x^3+25*x^2+2*x+22", "y^2=25*x^6+12*x^5+5*x^4+26*x^3+x^2+22*x+25", "y^2=25*x^6+9*x^5+25*x^4+28*x^3+7*x^2+21*x+21", "y^2=22*x^6+6*x^5+6*x^4+4*x^3+22*x+23", "y^2=19*x^6+28*x^5+16*x^4+7*x^3+8*x^2+18*x+11", "y^2=7*x^6+2*x^5+26*x^4+15*x^3+27*x^2+25*x+18", "y^2=28*x^6+8*x^5+17*x^4+23*x^3+11*x^2+28*x+24", "y^2=24*x^6+11*x^5+22*x^4+26*x^3+26*x^2+7*x+7", "y^2=15*x^6+3*x^5+23*x^4+8*x^3+8*x^2+5*x+24", "y^2=9*x^6+21*x^5+7*x^4+3*x^3+5*x^2+6*x+14", "y^2=14*x^6+15*x^5+2*x^4+2*x^3+19*x^2+24*x+24", "y^2=19*x^6+x^5+11*x^4+23*x^3+14*x^2+20*x+22", "y^2=9*x^6+12*x^5+18*x^4+2*x^3+19*x^2+12*x+21", "y^2=24*x^6+3*x^5+x^4+10*x^3+17*x^2+22*x+23", "y^2=23*x^6+5*x^5+20*x^4+3*x^3+x^2+4*x+11", "y^2=23*x^6+13*x^5+3*x^4+28*x^3+13*x^2+6*x+25", "y^2=28*x^6+10*x^5+6*x^4+17*x^3+13*x^2+19*x+27", "y^2=10*x^5+17*x^4+16*x^3+5*x^2+15*x+26", "y^2=22*x^6+17*x^5+x^4+5*x^3+7*x^2+20*x+6", "y^2=2*x^6+11*x^5+14*x^4+13*x^3+20*x^2+20*x+2", "y^2=25*x^6+24*x^5+16*x^4+27*x^3+14*x^2+22*x+20", "y^2=15*x^6+18*x^5+24*x^4+x^3+14*x^2+12*x", "y^2=17*x^6+4*x^5+12*x^4+28*x^3+4*x^2+21*x+24", "y^2=6*x^6+23*x^5+4*x^4+7*x^3+26*x^2+22*x", "y^2=13*x^6+28*x^5+20*x^4+5*x^3+22*x^2+24*x+8", "y^2=11*x^6+11*x^5+7*x^4+11*x^3+14*x^2+18*x+10", "y^2=6*x^6+7*x^5+17*x^4+14*x^3+8*x^2+13*x+27", "y^2=26*x^6+2*x^5+13*x^4+23*x^3+19*x^2+7*x+3", "y^2=6*x^6+22*x^5+4*x^4+9*x^3+18*x^2+3*x+16", "y^2=23*x^6+27*x^5+x^4+13*x^3+2*x^2+2*x", "y^2=23*x^6+13*x^5+5*x^4+27*x^3+14*x^2+7*x+4", "y^2=12*x^6+12*x^5+12*x^4+8*x^3+15*x^2+2*x+24", "y^2=12*x^6+28*x^5+21*x^4+23*x^3+27*x^2+10*x+20", "y^2=23*x^6+5*x^5+3*x^4+4*x^3+3*x^2+10*x+9", "y^2=11*x^6+21*x^4+16*x^3+10*x^2+15*x+25", "y^2=x^6+9*x^5+20*x^4+2*x^3+11*x^2+24*x+19", "y^2=20*x^6+26*x^5+18*x^4+16*x^3+10*x^2+15*x+16", "y^2=x^6+22*x^4+19*x^3+14*x^2+24*x+8", "y^2=28*x^6+26*x^5+23*x^4+13*x^3+18*x^2+26*x+3", "y^2=6*x^6+11*x^5+14*x^4+6*x^3+2*x^2+22*x+13", "y^2=16*x^5+16*x^4+17*x^3+9*x^2+4*x", "y^2=7*x^6+28*x^5+28*x^4+22*x^3+17*x^2+21*x+25", "y^2=22*x^6+20*x^5+17*x^4+5*x^3+25*x^2+9*x+3", "y^2=23*x^6+22*x^5+7*x^4+6*x^3+13*x^2+10*x", "y^2=12*x^6+23*x^5+11*x^4+4*x^3+11*x^2+9*x+1", "y^2=24*x^6+5*x^5+26*x^4+8*x^3+10*x^2+17*x+13", "y^2=6*x^6+23*x^5+8*x^4+x^3+9*x^2+12*x+13", "y^2=22*x^6+7*x^5+18*x^4+x^3+3*x^2+3*x+9", "y^2=23*x^6+12*x^5+20*x^4+7*x^3+x^2+15*x+21", "y^2=4*x^6+3*x^5+26*x^3+22*x^2+27*x+5", "y^2=3*x^6+5*x^5+8*x^4+x^3+21*x^2+23*x+21", "y^2=17*x^6+20*x^5+x^4+x^3+10*x^2+20*x+1", "y^2=5*x^6+10*x^5+28*x^4+7*x^3+x^2+14*x+12", "y^2=13*x^6+25*x^5+18*x^4+8*x^3+14*x^2+13*x", "y^2=5*x^6+3*x^5+5*x^4+28*x^3+8*x^2+14*x+19"], "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": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.35.1"], "geometric_splitting_field": "2.0.35.1", "geometric_splitting_polynomials": [[9, -1, 1]], "group_structure_count": 2, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 62, "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": 62, "label": "2.29.j_ca", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 12, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["4.0.11025.3"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 9, 52, 261, 841], "poly_str": "1 9 52 261 841 ", "primitive_models": [], "q": 29, "real_poly": [1, 9, -6], "simple_distinct": ["2.29.j_ca"], "simple_factors": ["2.29.j_caA"], "simple_multiplicities": [1], "singular_primes": ["2,-F+5", "13,-8*F^2-5*V-47"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.11025.3", "splitting_polynomials": [[81, -9, -8, -1, 1]], "twist_count": 6, "twists": [["2.29.aj_ca", "2.841.x_ama", 2], ["2.29.as_fj", "2.24389.ee_cymg", 3], ["2.29.a_ax", "2.594823321.ffrw_kreaayg", 6], ["2.29.s_fj", "2.594823321.ffrw_kreaayg", 6], ["2.29.a_x", "2.353814783205469041.afxuuqqe_qeghvgvzkarwg", 12]], "weak_equivalence_count": 6, "zfv_index": 52, "zfv_index_factorization": [[2, 2], [13, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2704, "zfv_singular_count": 4, "zfv_singular_primes": ["2,-F+5", "13,-8*F^2-5*V-47"]}