# Stored data for abelian variety isogeny class 2.37.ao_ek, downloaded from the LMFDB on 07 September 2026.
{"abvar_count": 952, "abvar_counts": [952, 1919232, 2590689976, 3515173208064, 4808583266156152, 6583070317903462656, 9012129666435857732344, 12337521935059434877747200, 16890051437863817981992302904, 23122482364050455883709967876352], "abvar_counts_str": "952 1919232 2590689976 3515173208064 4808583266156152 6583070317903462656 9012129666435857732344 12337521935059434877747200 16890051437863817981992302904 23122482364050455883709967876352 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.19286113307749, 0.39335647955041], "center_dim": 4, "cohen_macaulay_max": 2, "curve_count": 24, "curve_counts": [24, 1402, 51144, 1875598, 69343944, 2565772522, 94932597336, 3512482306846, 129961721538168, 4808584101525082], "curve_counts_str": "24 1402 51144 1875598 69343944 2565772522 94932597336 3512482306846 129961721538168 4808584101525082 ", "curves": ["y^2=10*x^6+13*x^5+17*x^4+17*x^3+8*x^2+5*x+19", "y^2=17*x^6+27*x^5+25*x^4+10*x^3+10*x^2+28*x+15", "y^2=17*x^6+5*x^5+18*x^4+17*x^3+13*x^2+x+35", "y^2=8*x^6+35*x^5+19*x^4+3*x^3+19*x^2+35*x+8", "y^2=30*x^6+5*x^5+23*x^4+9*x^3+29*x^2+19*x+7", "y^2=24*x^6+18*x^5+21*x^4+18*x^3+12*x^2+17*x+4", "y^2=31*x^6+32*x^5+17*x^4+18*x^3+10*x^2+30*x+34", "y^2=14*x^6+32*x^5+16*x^4+6*x^3+22*x^2+24*x+28", "y^2=13*x^6+8*x^5+22*x^4+4*x^3+12*x^2+27*x+13", "y^2=13*x^5+16*x^4+20*x^3+13*x^2+35*x", "y^2=7*x^6+7*x^5+x^4+4*x^3+x^2+7*x+7", "y^2=2*x^6+2*x^5+12*x^4+24*x^3+13*x^2+7*x+1", "y^2=18*x^6+35*x^5+32*x^4+25*x^3+7*x^2+16*x+25", "y^2=18*x^6+26*x^5+31*x^4+14*x^3+18*x^2+3*x+13", "y^2=x^6+x^5+23*x^4+20*x^3+8*x^2+7*x+8", "y^2=5*x^6+7*x^5+18*x^4+36*x^3+6*x^2+21*x+22", "y^2=33*x^6+33*x^5+x^4+34*x^3+34*x^2+x+34", "y^2=18*x^6+35*x^5+34*x^4+26*x^3+22*x^2+23*x+19", "y^2=3*x^6+8*x^5+24*x^4+28*x^3+15*x^2+28*x+35", "y^2=20*x^6+31*x^5+5*x^4+17*x^3+33*x^2+14*x+21", "y^2=25*x^6+21*x^5+15*x^4+19*x^3+12*x^2+13*x", "y^2=8*x^6+19*x^5+27*x^4+28*x^3+27*x^2+35*x+18", "y^2=20*x^6+25*x^5+19*x^4+x^3+19*x^2+25*x+20", "y^2=10*x^6+18*x^5+7*x^4+19*x^3+20*x^2+2*x", "y^2=6*x^6+7*x^5+x^4+30*x^3+24*x^2+x+13", "y^2=31*x^6+25*x^5+26*x^4+30*x^3+x^2+32*x+11", "y^2=13*x^6+33*x^5+23*x^4+35*x^3+8*x^2+7*x+13", "y^2=32*x^6+33*x^5+29*x^3+33*x+32", "y^2=16*x^6+21*x^5+26*x^4+10*x^3+35*x^2+34*x+19", "y^2=14*x^6+23*x^5+30*x^4+17*x^3+15*x^2+13*x+31", "y^2=31*x^5+5*x^4+29*x^3+31*x^2+27*x+22", "y^2=2*x^6+32*x^5+35*x^4+19*x^3+13*x^2+20*x+15", "y^2=17*x^6+16*x^5+5*x^4+8*x^3+7*x^2+7*x+17", "y^2=29*x^6+24*x^5+16*x^4+10*x^3+22*x^2+4*x+30", "y^2=2*x^6+36*x^5+6*x^4+21*x^3+9*x^2+24*x+31", "y^2=6*x^6+18*x^5+4*x^4+33*x^3+4*x^2+18*x+6", "y^2=31*x^6+28*x^5+16*x^4+22*x^3+30*x^2+29*x+22", "y^2=13*x^6+20*x^5+14*x^4+9*x^3+36*x^2+3*x+23", "y^2=36*x^6+16*x^5+8*x^4+33*x^3+31*x^2+31*x+7", "y^2=17*x^6+32*x^5+7*x^4+23*x^3+24*x^2+16*x", "y^2=29*x^6+20*x^5+33*x^4+23*x^3+9*x^2+3*x+29", "y^2=24*x^6+17*x^5+20*x^4+26*x^3+4*x^2+7*x+24", "y^2=16*x^6+28*x^5+36*x^4+18*x^3+13*x^2+19*x+28", "y^2=10*x^6+13*x^4+x^3+13*x^2+10", "y^2=14*x^6+3*x^5+19*x^4+34*x^3+22*x^2+36*x+32", "y^2=7*x^6+31*x^5+11*x^4+29*x^3+12*x^2+32*x+3", "y^2=35*x^6+34*x^5+4*x^4+22*x^3+28*x^2+20*x+34", "y^2=8*x^6+27*x^5+35*x^4+9*x^3+9*x^2+x", "y^2=7*x^6+8*x^5+29*x^4+4*x^3+29*x^2+15*x+17", "y^2=29*x^6+30*x^5+21*x^4+18*x^3+27*x^2+36*x+8", "y^2=20*x^6+11*x^5+6*x^4+19*x^3+6*x^2+11*x+20", "y^2=2*x^6+18*x^5+35*x^4+5*x^3+22*x^2+32*x+2", "y^2=12*x^6+6*x^5+6*x^4+35*x^3+29*x^2+7*x+19", "y^2=22*x^6+x^5+17*x^4+11*x^3+17*x^2+x+22", "y^2=24*x^6+3*x^5+21*x^4+30*x^3+29*x^2+25*x+36", "y^2=14*x^6+29*x^5+15*x^4+27*x^3+5*x^2+18*x+5", "y^2=18*x^6+27*x^5+28*x^4+3*x^3+10*x^2+31*x+5", "y^2=23*x^6+21*x^5+12*x^4+21*x^3+28*x^2+28*x+14", "y^2=15*x^6+10*x^5+22*x^4+8*x^3+31*x^2+35*x+29", "y^2=35*x^6+7*x^5+34*x^4+23*x^3+8*x^2+27*x+17"], "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": 18, "g": 2, "galois_groups": ["2T1", "2T1"], "geom_dim1_distinct": 2, "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": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1", "2T1"], "geometric_number_fields": ["2.0.3.1", "2.0.132.1"], "geometric_splitting_field": "4.0.17424.3", "geometric_splitting_polynomials": [[121, 0, 11, 0, 1]], "group_structure_count": 3, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 60, "is_cyclic": false, "is_geometrically_simple": false, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": false, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 60, "label": "2.37.ao_ek", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2], "number_fields": ["2.0.3.1", "2.0.132.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 6], [2, 7, 1, 12], [2, 11, 1, 2]], "poly": [1, -14, 114, -518, 1369], "poly_str": "1 -14 114 -518 1369 ", "primitive_models": [], "principal_polarization_count": 76, "q": 37, "real_poly": [1, -14, 40], "simple_distinct": ["1.37.ak", "1.37.ae"], "simple_factors": ["1.37.akA", "1.37.aeA"], "simple_multiplicities": [1, 1], "singular_primes": ["3,8*F-7", "2,-7*F+1"], "size": 272, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.17424.3", "splitting_polynomials": [[121, 0, 11, 0, 1]], "twist_count": 12, "twists": [["2.37.ag_bi", "2.1369.bg_bvi", 2], ["2.37.g_bi", "2.1369.bg_bvi", 2], ["2.37.o_ek", "2.1369.bg_bvi", 2], ["2.37.af_da", "2.50653.sw_idsc", 3], ["2.37.h_be", "2.50653.sw_idsc", 3], ["2.37.ap_eo", "2.2565726409.cqfo_eeiutzy", 6], ["2.37.ah_be", "2.2565726409.cqfo_eeiutzy", 6], ["2.37.ad_cs", "2.2565726409.cqfo_eeiutzy", 6], ["2.37.d_cs", "2.2565726409.cqfo_eeiutzy", 6], ["2.37.f_da", "2.2565726409.cqfo_eeiutzy", 6], ["2.37.p_eo", "2.2565726409.cqfo_eeiutzy", 6]], "weak_equivalence_count": 24, "zfv_index": 144, "zfv_index_factorization": [[2, 4], [3, 2]], "zfv_is_bass": false, "zfv_is_maximal": false, "zfv_pic_size": 48, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 6336, "zfv_singular_count": 4, "zfv_singular_primes": ["3,8*F-7", "2,-7*F+1"]}