# Stored data for abelian variety isogeny class 2.37.a_cn, downloaded from the LMFDB on 17 April 2026.
{"abvar_count": 1435, "abvar_counts": [1435, 2059225, 2565734080, 3506911655625, 4808584262002675, 6582991369273446400, 9012061295816446119595, 12337522712663214229655625, 16890053810563242163806427840, 23122482604779810569801707155625], "abvar_counts_str": "1435 2059225 2565734080 3506911655625 4808584262002675 6582991369273446400 9012061295816446119595 12337522712663214229655625 16890053810563242163806427840 23122482604779810569801707155625 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 1, "angle_rank": 1, "angles": [0.420687118443938, 0.579312881556062], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 38, "curve_counts": [38, 1500, 50654, 1871188, 69343958, 2565741750, 94931877134, 3512482528228, 129961739795078, 4808584151587500], "curve_counts_str": "38 1500 50654 1871188 69343958 2565741750 94931877134 3512482528228 129961739795078 4808584151587500 ", "curves": ["y^2=34*x^6+23*x^5+9*x^4+26*x^3+9*x^2+23*x+34", "y^2=31*x^6+9*x^5+18*x^4+15*x^3+18*x^2+9*x+31", "y^2=17*x^6+8*x^5+28*x^4+31*x^3+28*x^2+8*x+17", "y^2=34*x^6+16*x^5+19*x^4+25*x^3+19*x^2+16*x+34", "y^2=17*x^6+27*x^5+16*x^4+35*x^3+19*x^2+22*x+1", "y^2=34*x^6+17*x^5+32*x^4+33*x^3+x^2+7*x+2", "y^2=33*x^6+3*x^4+21*x^3+15*x^2+34*x+10", "y^2=29*x^6+6*x^4+5*x^3+30*x^2+31*x+20", "y^2=11*x^6+16*x^5+21*x^4+14*x^3+16*x^2+26*x+20", "y^2=22*x^6+32*x^5+5*x^4+28*x^3+32*x^2+15*x+3", "y^2=27*x^6+23*x^5+15*x^4+36*x^3+33*x^2+25*x+12", "y^2=17*x^6+9*x^5+30*x^4+35*x^3+29*x^2+13*x+24", "y^2=21*x^6+32*x^5+36*x^4+15*x^3+33*x^2+18*x+21", "y^2=5*x^6+27*x^5+35*x^4+30*x^3+29*x^2+36*x+5", "y^2=6*x^6+18*x^5+26*x^4+31*x^3+21*x^2+6*x+5", "y^2=12*x^6+36*x^5+15*x^4+25*x^3+5*x^2+12*x+10", "y^2=30*x^6+x^5+5*x^4+2*x^3+x^2+30*x+12", "y^2=23*x^6+2*x^5+10*x^4+4*x^3+2*x^2+23*x+24", "y^2=35*x^6+4*x^5+10*x^4+11*x^3+16*x^2+16*x+29", "y^2=33*x^6+8*x^5+20*x^4+22*x^3+32*x^2+32*x+21", "y^2=31*x^6+23*x^5+5*x^4+31*x^3+23*x^2+20*x+31", "y^2=25*x^6+9*x^5+10*x^4+25*x^3+9*x^2+3*x+25", "y^2=6*x^6+17*x^5+32*x^4+25*x^3+12*x^2+13*x+36", "y^2=12*x^6+34*x^5+27*x^4+13*x^3+24*x^2+26*x+35", "y^2=29*x^6+22*x^5+3*x^4+27*x^3+9*x^2+19*x+12", "y^2=3*x^6+36*x^5+25*x^4+32*x^3+29*x^2+22*x+8", "y^2=6*x^6+35*x^5+13*x^4+27*x^3+21*x^2+7*x+16", "y^2=3*x^6+35*x^5+21*x^4+10*x^3+4*x^2+14*x+10", "y^2=6*x^6+33*x^5+5*x^4+20*x^3+8*x^2+28*x+20", "y^2=22*x^6+29*x^5+15*x^4+7*x^3+2*x^2+35*x+12", "y^2=7*x^6+21*x^5+30*x^4+14*x^3+4*x^2+33*x+24", "y^2=11*x^6+10*x^5+25*x^4+29*x^3+25*x^2+10*x+11", "y^2=22*x^6+20*x^5+13*x^4+21*x^3+13*x^2+20*x+22", "y^2=3*x^6+26*x^5+4*x^4+32*x^3+7*x^2+13*x+13", "y^2=35*x^6+5*x^5+34*x^4+11*x^3+34*x^2+5*x+35", "y^2=33*x^6+10*x^5+31*x^4+22*x^3+31*x^2+10*x+33", "y^2=x^6+36*x^5+27*x^3+36*x+1", "y^2=2*x^6+35*x^5+17*x^3+35*x+2", "y^2=24*x^6+23*x^5+19*x^4+17*x^3+19*x^2+23*x+24", "y^2=11*x^6+9*x^5+x^4+34*x^3+x^2+9*x+11", "y^2=19*x^6+20*x^5+24*x^4+32*x^3+24*x^2+20*x+19", "y^2=x^6+3*x^5+11*x^4+27*x^3+11*x^2+3*x+1", "y^2=2*x^6+31*x^5+x^4+18*x^3+15*x^2+22*x+36", "y^2=4*x^6+25*x^5+2*x^4+36*x^3+30*x^2+7*x+35", "y^2=36*x^6+15*x^5+35*x^4+24*x^3+35*x^2+15*x+36", "y^2=35*x^6+30*x^5+33*x^4+11*x^3+33*x^2+30*x+35", "y^2=15*x^6+17*x^5+8*x^4+20*x^3+8*x^2+17*x+15", "y^2=30*x^6+34*x^5+16*x^4+3*x^3+16*x^2+34*x+30", "y^2=8*x^6+2*x^5+7*x^3+10*x^2+28*x+4", "y^2=16*x^6+4*x^5+14*x^3+20*x^2+19*x+8", "y^2=7*x^6+23*x^5+12*x^4+12*x^2+23*x+7", "y^2=14*x^6+9*x^5+24*x^4+24*x^2+9*x+14", "y^2=15*x^6+30*x^5+30*x^4+32*x^3+36*x^2+14*x+12", "y^2=30*x^6+23*x^5+23*x^4+27*x^3+35*x^2+28*x+24", "y^2=10*x^6+2*x^5+34*x^4+10*x^3+16*x^2+22*x+22", "y^2=20*x^6+4*x^5+31*x^4+20*x^3+32*x^2+7*x+7", "y^2=30*x^6+3*x^5+34*x^4+11*x^3+2*x^2+18*x+27", "y^2=23*x^6+6*x^5+31*x^4+22*x^3+4*x^2+36*x+17", "y^2=8*x^6+35*x^5+10*x^4+15*x^3+17*x^2+24*x+9", "y^2=16*x^6+33*x^5+20*x^4+30*x^3+34*x^2+11*x+18", "y^2=14*x^6+11*x^5+17*x^4+8*x^3+36*x^2+10*x+19", "y^2=28*x^6+22*x^5+34*x^4+16*x^3+35*x^2+20*x+1", "y^2=4*x^6+16*x^5+35*x^4+35*x^3+20*x^2+5*x+23", "y^2=8*x^6+32*x^5+33*x^4+33*x^3+3*x^2+10*x+9", "y^2=2*x^6+8*x^5+36*x^4+34*x^3+32*x^2+35*x+8", "y^2=4*x^6+16*x^5+35*x^4+31*x^3+27*x^2+33*x+16", "y^2=31*x^6+4*x^5+7*x^4+4*x^3+18*x^2+34*x+2", "y^2=29*x^6+17*x^5+34*x^4+22*x^3+30*x^2+6*x+7", "y^2=21*x^6+34*x^5+31*x^4+7*x^3+23*x^2+12*x+14", "y^2=29*x^6+30*x^5+7*x^4+30*x^3+21*x^2+36*x+5", "y^2=21*x^6+21*x^5+30*x^4+6*x^3+29*x^2+13*x+11", "y^2=18*x^6+2*x^5+15*x^4+33*x^3+15*x^2+17*x+19", "y^2=36*x^6+4*x^5+30*x^4+29*x^3+30*x^2+34*x+1", "y^2=3*x^6+2*x^5+4*x^4+25*x^3+20*x^2+27*x+1", "y^2=6*x^6+4*x^5+8*x^4+13*x^3+3*x^2+17*x+2", "y^2=34*x^6+32*x^5+21*x^4+11*x^3+16*x^2+23*x+35", "y^2=31*x^6+27*x^5+5*x^4+22*x^3+32*x^2+9*x+33", "y^2=12*x^6+29*x^5+23*x^4+31*x^3+x^2+13*x+34", "y^2=24*x^6+21*x^5+9*x^4+25*x^3+2*x^2+26*x+31", "y^2=20*x^6+13*x^5+7*x^4+20*x^3+7*x^2+13*x+20", "y^2=3*x^6+26*x^5+14*x^4+3*x^3+14*x^2+26*x+3", "y^2=20*x^6+3*x^5+35*x^4+30*x^3+6*x^2+27*x+22", "y^2=3*x^6+6*x^5+33*x^4+23*x^3+12*x^2+17*x+7", "y^2=26*x^6+6*x^5+36*x^4+31*x^3+17*x^2+3*x+15", "y^2=15*x^6+12*x^5+35*x^4+25*x^3+34*x^2+6*x+30", "y^2=2*x^6+25*x^5+11*x^4+10*x^3+x^2+23*x+31", "y^2=4*x^6+13*x^5+22*x^4+20*x^3+2*x^2+9*x+25", "y^2=12*x^6+29*x^5+23*x^4+23*x^3+19*x^2+25*x+2", "y^2=34*x^6+5*x^5+35*x^4+11*x^3+35*x^2+5*x+34", "y^2=31*x^6+10*x^5+33*x^4+22*x^3+33*x^2+10*x+31"], "dim1_distinct": 2, "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, "endomorphism_ring_count": 4, "g": 2, "galois_groups": ["2T1", "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": 2, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.139.1"], "geometric_splitting_field": "2.0.139.1", "geometric_splitting_polynomials": [[35, -1, 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": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 90, "label": "2.37.a_cn", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["2.0.139.1", "2.0.139.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 5, 1, 36], [2, 5, 1, 36]], "poly": [1, 0, 65, 0, 1369], "poly_str": "1 0 65 0 1369 ", "primitive_models": [], "principal_polarization_count": 108, "q": 37, "real_poly": [1, 0, -9], "simple_distinct": ["1.37.ad", "1.37.d"], "simple_factors": ["1.37.adA", "1.37.dA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,F^2+7*F+23", "3,-F^2+3*F-31"], "size": 180, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.139.1", "splitting_polynomials": [[35, -1, 1]], "twist_count": 6, "twists": [["2.37.ag_df", "2.1369.fa_khv", 2], ["2.37.g_df", "2.1369.fa_khv", 2], ["2.37.a_acn", "2.1874161.aekk_nbbvf", 4], ["2.37.ad_abc", "2.2565726409.wsa_quvxbny", 6], ["2.37.d_abc", "2.2565726409.wsa_quvxbny", 6]], "weak_equivalence_count": 4, "zfv_index": 36, "zfv_index_factorization": [[2, 2], [3, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 108, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 19321, "zfv_singular_count": 4, "zfv_singular_primes": ["2,F^2+7*F+23", "3,-F^2+3*F-31"]}