# Stored data for abelian variety isogeny class 2.37.h_ce, downloaded from the LMFDB on 07 October 2026.
{"abvar_count": 1692, "abvar_counts": [1692, 1962720, 2562933312, 3513465072000, 4806750329355852, 6583167318045726720, 9012140481579109473996, 12337496430090476958144000, 16890053632131845142636245568, 23122483308694486808982178725600], "abvar_counts_str": "1692 1962720 2562933312 3513465072000 4806750329355852 6583167318045726720 9012140481579109473996 12337496430090476958144000 16890053632131845142636245568 23122483308694486808982178725600 ", "angle_corank": 0, "angle_rank": 2, "angles": [0.447431543288747, 0.765077740875459], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 45, "curve_counts": [45, 1433, 50598, 1874689, 69317505, 2565810326, 94932711261, 3512475045601, 129961738422126, 4808584297974593], "curve_counts_str": "45 1433 50598 1874689 69317505 2565810326 94932711261 3512475045601 129961738422126 4808584297974593 ", "curves": ["y^2=9*x^6+18*x^5+35*x^4+30*x^3+36*x^2+21*x", "y^2=27*x^6+5*x^5+19*x^4+25*x^2+11*x+2", "y^2=16*x^6+12*x^5+7*x^4+x^3+25*x^2+23*x", "y^2=16*x^6+4*x^5+18*x^4+4*x^3+11*x^2+27*x+16", "y^2=11*x^6+2*x^5+33*x^4+15*x^3+3*x^2+15*x+2", "y^2=26*x^6+27*x^5+10*x^4+26*x^3+8*x^2+29*x+4", "y^2=36*x^6+14*x^5+9*x^4+34*x^3+23*x^2+21", "y^2=10*x^6+22*x^5+4*x^4+35*x^3+22*x^2+29*x+9", "y^2=24*x^5+35*x^4+22*x^3+17*x^2+25", "y^2=7*x^6+30*x^5+36*x^4+14*x^3+12*x^2+x+11", "y^2=36*x^6+19*x^5+28*x^4+8*x^3+8*x^2+30*x+11", "y^2=x^6+23*x^5+27*x^4+20*x^3+32*x^2+16*x+30", "y^2=13*x^6+20*x^5+4*x^4+19*x^3+10*x^2+15*x+6", "y^2=32*x^6+x^5+25*x^4+34*x^3+18*x^2+36*x+15", "y^2=4*x^6+25*x^5+x^4+10*x^3+33*x^2+11*x+17", "y^2=28*x^6+7*x^5+36*x^4+14*x^3+9*x^2+18*x+27", "y^2=34*x^6+3*x^5+30*x^4+12*x^3+36*x^2+19*x+5", "y^2=35*x^6+4*x^5+25*x^4+10*x^3+17*x^2+35*x+1", "y^2=19*x^6+31*x^5+21*x^4+28*x^3+27*x^2+5*x+29", "y^2=33*x^6+21*x^5+36*x^4+9*x^3+13*x^2+9*x+30", "y^2=15*x^6+12*x^5+3*x^4+21*x^3+16*x^2+2*x+12", "y^2=15*x^6+33*x^5+16*x^4+30*x^3+12*x^2+14*x+21", "y^2=27*x^6+28*x^5+23*x^4+7*x^3+6*x^2+7*x+23", "y^2=6*x^6+26*x^5+17*x^4+29*x^3+16*x^2+34*x+20", "y^2=32*x^6+17*x^5+3*x^4+34*x^3+3*x^2+34*x+9", "y^2=16*x^6+34*x^5+2*x^4+28*x^3+30*x^2+6*x+4", "y^2=12*x^6+22*x^5+23*x^4+9*x^3+x^2+34*x+5", "y^2=23*x^6+4*x^5+25*x^4+4*x^3+17*x^2+17*x+2", "y^2=3*x^6+30*x^5+18*x^4+13*x^3+36*x^2+28*x", "y^2=28*x^6+34*x^5+7*x^4+7*x^3+20*x^2+17", "y^2=36*x^6+22*x^5+9*x^4+20*x^3+8*x^2+8*x+27", "y^2=9*x^6+35*x^5+x^4+31*x^3+32*x^2+2*x+2", "y^2=7*x^6+19*x^5+5*x^4+9*x^3+17*x^2+20*x+23", "y^2=8*x^5+20*x^4+30*x^3+2*x^2+33*x+11", "y^2=26*x^6+27*x^5+22*x^4+12*x^3+26*x^2+14*x+9", "y^2=30*x^6+2*x^5+2*x^4+21*x^3+13*x^2+16*x+12", "y^2=31*x^6+7*x^5+36*x^4+11*x^3+16*x^2+3*x+33", "y^2=22*x^5+24*x^4+x^3+25*x^2+7", "y^2=28*x^6+16*x^5+34*x^4+16*x^3+15*x^2+16*x+31", "y^2=12*x^6+14*x^5+x^4+34*x^3+17*x^2+25*x+27", "y^2=10*x^6+3*x^5+23*x^4+31*x^3+21*x^2+8*x+15", "y^2=5*x^6+35*x^5+26*x^4+27*x^3+11*x^2+x+15", "y^2=2*x^6+5*x^5+17*x^4+9*x^3+14*x^2+27*x+5", "y^2=23*x^6+28*x^5+8*x^4+31*x^3+6*x^2+x+10", "y^2=16*x^6+21*x^5+33*x^4+21*x^3+2*x^2+29*x+29"], "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": 8, "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": ["2.0.4.1", "2.0.67.1"], "geometric_splitting_field": "4.0.71824.1", "geometric_splitting_polynomials": [[289, 0, -33, 0, 1]], "group_structure_count": 4, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 45, "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": 45, "label": "2.37.h_ce", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 4, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [2, 3], "number_fields": ["2.0.4.1", "2.0.67.1"], "p": 37, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 7, 56, 259, 1369], "poly_str": "1 7 56 259 1369 ", "primitive_models": [], "q": 37, "real_poly": [1, 7, -18], "simple_distinct": ["1.37.ac", "1.37.j"], "simple_factors": ["1.37.acA", "1.37.jA"], "simple_multiplicities": [1, 1], "singular_primes": ["2,3*F+4*V+1", "3,20*F+4", "11,-F^2-18*F+2*V-52"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.71824.1", "splitting_polynomials": [[289, 0, -33, 0, 1]], "twist_count": 8, "twists": [["2.37.al_do", "2.1369.cl_dim", 2], ["2.37.ah_ce", "2.1369.cl_dim", 2], ["2.37.l_do", "2.1369.cl_dim", 2], ["2.37.av_ha", "2.1874161.uh_aennem", 4], ["2.37.ad_abi", "2.1874161.uh_aennem", 4], ["2.37.d_abi", "2.1874161.uh_aennem", 4], ["2.37.v_ha", "2.1874161.uh_aennem", 4]], "weak_equivalence_count": 8, "zfv_index": 726, "zfv_index_factorization": [[2, 1], [3, 1], [11, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 9648, "zfv_singular_count": 6, "zfv_singular_primes": ["2,3*F+4*V+1", "3,20*F+4", "11,-F^2-18*F+2*V-52"]}