# Stored data for abelian variety isogeny class 2.29.ag_br, downloaded from the LMFDB on 26 May 2026.
{"abvar_count": 705, "abvar_counts": [705, 750825, 595719360, 500518715625, 421005025760025, 353835425025100800, 297551694798112704465, 250245690608910165215625, 210457295055232507475133120, 176994566307087344165674445625], "abvar_counts_str": "705 750825 595719360 500518715625 421005025760025 353835425025100800 297551694798112704465 250245690608910165215625 210457295055232507475133120 176994566307087344165674445625 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.237931416269938, 0.556417998497701], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 24, "curve_counts": [24, 892, 24426, 707668, 20525664, 594858022, 17249497296, 500244847588, 14507146712754, 420707209901452], "curve_counts_str": "24 892 24426 707668 20525664 594858022 17249497296 500244847588 14507146712754 420707209901452 ", "curves": ["y^2=26*x^6+26*x^5+27*x^4+16*x^3+27*x^2+10*x+8", "y^2=8*x^6+17*x^5+x^4+26*x^3+6*x^2+3*x+14", "y^2=21*x^6+2*x^5+13*x^4+6*x^3+3*x^2+21*x+20", "y^2=3*x^6+24*x^5+3*x^4+5*x^3+5*x^2+5*x+15", "y^2=23*x^6+7*x^5+15*x^4+22*x^3+x^2+27*x+2", "y^2=19*x^6+24*x^5+21*x^4+15*x^3+25*x^2+8*x+7", "y^2=5*x^6+3*x^5+5*x^4+15*x^3+3*x^2+13*x+10", "y^2=20*x^6+28*x^5+18*x^4+19*x^3+7*x^2+6", "y^2=12*x^6+x^5+9*x^4+18*x^3+21*x^2+26*x+21", "y^2=15*x^6+2*x^5+15*x^4+24*x^3+28*x^2+15*x+23", "y^2=25*x^6+19*x^5+18*x^4+8*x^3+8*x^2+21*x+27", "y^2=15*x^6+20*x^5+10*x^4+x^3+15*x^2+18*x+3", "y^2=11*x^6+4*x^5+6*x^4+27*x^3+5*x^2+4*x+11", "y^2=14*x^6+8*x^5+21*x^4+x^3+15*x^2+9*x+12", "y^2=3*x^6+5*x^5+22*x^4+27*x^3+18*x^2+6*x+15", "y^2=20*x^6+26*x^5+5*x^4+11*x^3+13*x^2+22*x+10", "y^2=7*x^6+24*x^5+7*x^4+19*x^3+28*x^2+8*x+21", "y^2=13*x^6+26*x^5+14*x^4+22*x^2+12*x+14", "y^2=16*x^6+16*x^5+3*x^4+10*x^3+22*x^2+18*x+14", "y^2=12*x^6+21*x^5+18*x^4+23*x^3+8*x^2+13*x+13", "y^2=x^6+4*x^5+9*x^4+23*x^3+x^2+6*x+8", "y^2=26*x^6+4*x^5+15*x^4+26*x^2+6*x+15", "y^2=9*x^6+5*x^5+22*x^4+9*x^3+10*x^2+23*x+27", "y^2=8*x^6+17*x^5+21*x^4+14*x^3+13*x^2+14*x+14", "y^2=26*x^6+7*x^5+2*x^4+23*x^3+9*x^2+26*x+27", "y^2=6*x^6+2*x^5+9*x^4+13*x^3+24*x^2+22*x+26", "y^2=17*x^6+3*x^5+4*x^4+26*x^3+27*x^2+19*x+11", "y^2=19*x^6+26*x^5+27*x^4+3*x^3+12*x^2+2*x+15", "y^2=7*x^6+18*x^5+8*x^4+9*x^3+2*x+26", "y^2=18*x^6+2*x^5+5*x^4+20*x^3+28*x^2+x+15", "y^2=15*x^6+13*x^5+2*x^4+26*x^3+20*x^2+7*x+28", "y^2=28*x^6+21*x^5+24*x^4+13*x^3+22*x^2+x+28", "y^2=28*x^6+20*x^5+13*x^3+2*x^2+4*x+2", "y^2=23*x^6+11*x^5+16*x^4+11*x^3+6*x^2+26*x+21", "y^2=14*x^6+4*x^5+19*x^4+23*x^3+17*x^2+22*x+4", "y^2=23*x^6+11*x^5+21*x^3+4*x^2+6*x+3", "y^2=11*x^6+21*x^5+28*x^3+17*x^2+24*x+28", "y^2=x^6+28*x^4+16*x^3+12*x^2+17*x+27", "y^2=16*x^6+23*x^5+28*x^4+9*x^3+10*x+2", "y^2=4*x^6+25*x^5+4*x^4+17*x^3+7*x^2+25*x+2", "y^2=18*x^6+16*x^5+3*x^4+17*x^3+13*x^2+6*x+7", "y^2=7*x^6+8*x^5+3*x^4+28*x^3+3*x^2+9*x+11", "y^2=14*x^6+16*x^5+4*x^4+x^3+10*x^2+4*x+12", "y^2=25*x^6+17*x^5+21*x^4+2*x^3+24*x^2+14*x+2", "y^2=17*x^6+9*x^5+25*x^4+18*x^3+20*x^2+10*x+21", "y^2=12*x^6+19*x^5+28*x^4+9*x^3+17*x^2+28*x+21", "y^2=14*x^6+11*x^5+23*x^4+5*x^3+7*x^2+10*x+18", "y^2=12*x^6+27*x^5+20*x^4+18*x^3+3*x+3", "y^2=12*x^6+14*x^5+2*x^4+24*x^3+18*x^2+23*x+25", "y^2=12*x^6+8*x^5+24*x^4+x^3+25*x^2+7*x+24", "y^2=20*x^6+2*x^5+20*x^4+13*x^3+14*x^2+25*x+2", "y^2=19*x^6+27*x^5+9*x^4+27*x^3+17*x^2+11*x+28", "y^2=17*x^6+11*x^5+8*x^4+27*x^3+22*x^2+7*x+17", "y^2=7*x^6+22*x^5+5*x^3+23*x^2+9*x+26", "y^2=8*x^6+15*x^5+4*x^4+4*x^3+3*x^2+15*x+11", "y^2=11*x^6+27*x^5+17*x^4+22*x^3+21*x^2+11", "y^2=7*x^6+4*x^4+9*x^3+26*x^2+12*x+3", "y^2=12*x^6+10*x^5+x^4+18*x^3+15*x^2+17*x+20", "y^2=6*x^6+3*x^5+17*x^4+3*x^3+5*x^2+17*x+9", "y^2=22*x^6+23*x^5+7*x^4+3*x^3+21*x^2+3*x+12", "y^2=27*x^6+24*x^5+10*x^4+14*x^3+8*x^2+28*x+28", "y^2=19*x^6+11*x^5+17*x^4+10*x^3+2*x^2+6*x+2", "y^2=21*x^6+27*x^5+6*x^4+28*x^3+25*x^2+20*x+26", "y^2=x^6+25*x^5+17*x^4+15*x^3+x^2+7*x+18", "y^2=9*x^6+11*x^5+21*x^4+24*x^3+8*x^2+9*x+3", "y^2=7*x^6+23*x^5+x^4+26*x^3+25*x^2+9*x+2", "y^2=x^6+4*x^5+22*x^4+23*x^3+22*x^2+11*x+8", "y^2=12*x^6+6*x^5+22*x^4+21*x^3+x^2+20*x+3", "y^2=22*x^6+17*x^5+23*x^4+23*x^3+14*x^2+8*x+4", "y^2=13*x^6+17*x^5+4*x^4+13*x^3+23*x^2+18*x+17", "y^2=11*x^6+12*x^5+8*x^4+9*x^3+11*x^2+10", "y^2=16*x^6+8*x^5+14*x^4+15*x^3+4*x^2+8*x+15", "y^2=13*x^6+16*x^5+26*x^4+15*x^3+26*x^2+17*x+2", "y^2=16*x^6+11*x^5+17*x^4+16*x^3+16*x^2+17*x+19", "y^2=13*x^6+15*x^5+12*x^4+24*x^3+3*x^2+5*x+20", "y^2=2*x^6+2*x^5+6*x^3+10*x^2+19*x+16", "y^2=7*x^6+16*x^5+27*x^4+16*x^3+x^2+5*x+25", "y^2=2*x^6+5*x^5+20*x^4+28*x^3+2*x+9", "y^2=21*x^6+15*x^5+24*x^4+10*x^2+8*x+12", "y^2=25*x^6+9*x^5+26*x^4+16*x^3+14*x^2+22*x+9", "y^2=4*x^6+21*x^5+26*x^4+28*x^3+7*x^2+8*x+14", "y^2=17*x^6+3*x^5+10*x^4+10*x^3+23*x^2+19*x+8", "y^2=13*x^6+x^5+x^4+3*x^3+15*x^2+18*x+27", "y^2=8*x^6+13*x^5+13*x^4+25*x^3+13*x^2+2*x+1", "y^2=x^6+3*x^5+15*x^4+18*x^3+2*x^2+22*x+28", "y^2=12*x^6+16*x^5+22*x^4+26*x^3+2*x^2+11*x+13", "y^2=18*x^6+28*x^5+10*x^4+4*x^3+12*x^2+18*x+1", "y^2=8*x^6+26*x^5+20*x^4+17*x^3+14*x^2+9*x+21", "y^2=23*x^6+6*x^5+26*x^4+4*x^3+16*x^2+17*x+28", "y^2=3*x^6+x^5+26*x^4+15*x^3+8*x^2+2"], "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": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "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": ["4T3"], "geometric_number_fields": ["4.0.138816.5"], "geometric_splitting_field": "4.0.138816.5", "geometric_splitting_polynomials": [[27, 18, 13, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 90, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 90, "label": "2.29.ag_br", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.138816.5"], "p": 29, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 3, 1, 12], [1, 3, 2, 12], [1, 5, 1, 24]], "poly": [1, -6, 43, -174, 841], "poly_str": "1 -6 43 -174 841 ", "primitive_models": [], "principal_polarization_count": 90, "q": 29, "real_poly": [1, -6, -15], "simple_distinct": ["2.29.ag_br"], "simple_factors": ["2.29.ag_brA"], "simple_multiplicities": [1], "singular_primes": ["2,F+V-3", "5,2*F+4"], "size": 150, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.138816.5", "splitting_polynomials": [[27, 18, 13, -2, 1]], "twist_count": 2, "twists": [["2.29.g_br", "2.841.by_cdn", 2]], "weak_equivalence_count": 4, "zfv_index": 20, "zfv_index_factorization": [[2, 2], [5, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 96, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 6025, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F+V-3", "5,2*F+4"]}